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| − | == Introduction: Toward a Unified Multilevel Formalization of Physical Reality ==
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| − | This formalization scheme is presented as '''a coherent and structured proposal''' — an organized set of hypotheses aimed at exploring '''a possible pathway from Elementary Field Dynamics to the emergence of Physical Structures'''. It does not claim to provide a definitive solution to the open problems of modern physics, but rather offers a conceptual framework that may help illuminate their underlying architecture. The intention is to suggest, with due humility, a possible direction for theoretical research: a pathway that may achieve a meaningful level of analytical detail while preserving a unified, large scale perspective on the structure of Physical Reality.
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| − | Although the formalization is articulated through '''a sequence of levels and sub levels''', it should not be interpreted as a fragmented collection of models or analytical devices. Its structure '''mirrors the intrinsic order of the Process of Formation of Physical Reality itself'''. The hierarchy of the formalization is therefore not an external framework imposed upon the theory, but '''the natural reflection of the ontological, phenomenological, and dynamical sequence''' through which Reality emerges. In this sense, the mathematical and conceptual architecture proposed here follows — rather than constructs — the order of the Real.
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| − |
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| − | The conceptual pathway proceeds through '''a hierarchy of levels''' — from Elementary Events and their decomposition, to the Modes of Elementary Action, the emergence of informational and energetic content, the formation of InfoStructures, their equilibrium equations, and finally the quantum and field-theoretic equations that map onto Quantum Field Theory and the Standard Model of Particles. The accompanying conceptual figure summarizes this hierarchical architecture.
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| − |
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| − | == Elementary Field, Event-Points, and Elementary Events ==
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| − |
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| − | At the foundational level, the Elementary Field is understood as '''a continuous, pre-geometric field-like medium''' whose intrinsic variational nature responds to the causal impulse of the Fundamental Force. The Force is conceived as a pure scalar causal source, devoid of intrinsic directionality. Direction, orientation, chirality, and structure do not belong to the Force itself (source of Causality); they emerge from the Field's response, through the organization of its fluctuations (source of Variationality).
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| − | Within this framework, the '''Event-Point (EP)''' represents an infinitesimal, arbitrarily centered sampling region of the Field — not a physical unit, but an analytical focus where the Field's pre-spatial dynamism becomes locally expressible. The EP is the locus where the Field's continuous activity is decomposed into analyzable components.
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| − | For each EP, the '''Elementary Event (EE)''' captures the instantaneous pre-spatial fluctuation generated by the internal interaction between the two aspects of the Primary Source of Reality: the Fundamental Force and the Elementary Field. EE have no identity, no persistence, no trajectory; they are the elementary manifestations of the Field's incessant variational activity.
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| − | By tracking the evolution of EE along the pre-temporal parameter τ, one obtains '''the τ evolution and the associated τ distribution (τ DIST)''', which encode '''the statistical structure of the local micro dynamism of the Field''' under the continuous pressure of the Force. These distributions constitute the '''proto informational/energetic substrate''' from which significant quantities emerge — such as local Time Curvature, Field Temperature, and the vibrational spectrum of EE.
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| − |
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| − | == From Micro Dynamism to Emergent Structure ==
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| − |
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| − | The conceptual and mathematical pathway proceeds through '''a layered sequence''':
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| − |
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| − | * the continuous Elementary Field
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| − | * the Event-point as a local sampling operator on the pre-physical dynamism of the Field
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| − | * the Elementary Event as a pre-spatial σ-fluctuation
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| − | * the pre-temporal τ based statistical formalization of Elementary Events
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| − | * the emergence of dynamical and geometric quantities
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| − | * the macroscopic physical behavior arising from spatial correlations
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| − |
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| − | This layered structure provides '''a consistent path toward the mathematical formalization of the Dynamics of Elementary Action''', grounding macroscopic Phenomena in the dynamical and informational behavior of the Field at its most elementary level.
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| − |
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| − | '''Conventional physics''', although less explicitly, also organizes its theories across different layers of Reality — each addressing a specific domain of phenomena, from the macroscopic to the quantum, from geometry to fields. This stratification has produced extraordinary analytical power, but it has also encouraged fragmentation and hindered the emergence of a unified conceptual framework.
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| − | A central principle of this work is that '''analysis without synthesis can lead to conceptual dead ends''', where progress becomes increasingly difficult. For this reason, the formalization proposed here aims to integrate both perspectives: the precision of detailed analysis and the coherence of a global, multilevel architecture. Within this broader framework, the major theories of modern physics (SR, GR, QM, QFT, SMP, etc.) can be situated as effective epistemic layers that describe specific domains of emergent structure, while remaining embedded within a deeper ontological continuum.
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| − | == The Hierarchy of Reality ==
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| − | The formation of physical Reality can be understood through '''a hierarchical sequence of ontological levels''', each introducing '''a new mode of organization of the Field's dynamism'''. This hierarchy is not an arbitrary construction: it reflects the intrinsic structure of the Process of Formation of Reality.
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| − | The hierarchy consists of '''five fundamental ontological levels''' (0–5), which describe what exists and how it is organized. By examining the levels and their corresponding sub-levels in a concise sequence, I will highlight—where appropriate—the associated epistemic aspects, which describe how human observers represent, model, and interpret these levels, with occasional references to the models and theories of conventional physics.”
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| − | The levels:
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| − | * Level 0 — '''Source''' (Force and Field)
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| − | * Level 1 — '''Elementary Events''' (τ distributions of σ fluctuations)
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| − | * Level 2 — '''Elementary Action''' (discrepancies of τ distributions)
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| − | * Relational Bridge — '''Correlation''' (between discrepancies)
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| − | * Level 3 — '''Information/Energy''' (Unstructured -or weakly structured - Physical Quantities: Physical Potentials)
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| − | * Level 4 — '''InfoStructures''' (Structured Physical Quantities)
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| − | * Level 5 — '''Forms''' (Physical Universe)
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| − |
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| − | === Summary of the Hierarchy of Reality ===
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| − |
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| − | ==== LEVEL 0 — Origin (Primary Source, Fundamental Force, Elementary Field) ====
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| − | <blockquote>
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| − | Ontological foundation of Reality. The Primary Source is the primordial entity from which the Fundamental Force and the continuous Elementary Field arise as two complementary aspects of its Agency. The Source is not physical, not geometric, not energetic: it is the '''ontological root''' of Action.
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| − | </blockquote>
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| − |
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| − | ==== LEVEL 1 — Elementary Events (τ distributions of σ fluctuations) ====
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| − | <blockquote>
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| − | Elementary Events (EE) are the '''τ level statistical distributions''' of instantaneous σ fluctuations of the Field. Elementary variations of the Field, represented as τ level statistical distributions of σ fluctuations. A pre-physical, unmanifest, unstructured level.
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| − | Each σ fluctuation is '''characterized by four aspects''':
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| − | * '''Amplitude''' A(σ)
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| − | * '''Orientation''' n(σ)
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| − | * '''Chirality''' χ(σ)
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| − | * '''Axis Orientation''' u(σ)
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| − | EE represent the '''pre-physical, pre-spatial, pre-temporal''' micro variations of the continuous Elementary Field.
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| − | </blockquote>
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| − |
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| − | ==== LEVEL 2 — Elementary Action (discrepancies or inhomogeneities of τ distributions) ====
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| − | <blockquote>
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| − | Elementary Action (EA) arises from the '''discrepancies / inhomogeneities''' in the τ distributions of EE, that manifest as linear deformation content (proto-stress intensity and orientation) and angular deformation content (proto-vorticity chirality and axis orientation).
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| − | These discrepancies correspond to four deformation Modes/Sub Modes:
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| − | * '''Perturbation''' (intensity discrepancies)
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| − | * '''Translation''' (orientation discrepancies)
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| − | * '''Rotation:Chirality''' (chirality discrepancies)
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| − | * '''Rotation:AxisOrientation''' (axis orientation discrepancies)
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| − |
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| − | EA is pure dynamics — '''tendencies''', not yet physical content. Still a pre-physical, unmanifest, unstructured level.
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| − | These discrepancies are the objects of the correlation process that will occur as described at the next point about the “Relational Bridge”.
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| − | </blockquote>
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| − |
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| − | ==== RELATIONAL BRIDGE — Correlation between discrepancies (From Action to Information / Energy) ====
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| − | <blockquote>
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| − | Conceptual bridge between Level 2 and Level 3.
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| − | Here the key transformation occurs: '''Spatial correlations between discrepancies (ΔP) in the τ distributions transform Action (EA) into Information/Energy'''.
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| − | The correlation is not generated by the discrepancies themselves, but by the causal Agency of the Primary Source, expressed secondarily through the dynamism of the Elementary Field.
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| − | Discrepances (ΔP) are the objects of the correlation, not its sources.
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| − | Action takes form, configuring the '''physical potentials'''. From Action (a pre-physical, unmanifest, unstructured level of Realty) to In Form Action (Information / Energy: physical, manifest but still unstructured).
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| − | This bridge is not a level, but a '''Process''':
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| − | * '''Elementary Action''' = pure dynamical tendencies
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| − | * '''Correlation''' = configurational process (organization)
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| − | * '''Information/Energy''' = emergent physical content
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| − | </blockquote>
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| − |
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| − | ==== LEVEL 3 — Information/Energy (Physical Potentials: Metric, Potential Motion: Acceleration Electric and Magnetic Potentials) ====
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| − | <blockquote>
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| − | The four physical potentials emerge from '''correlated discrepancies in the τ distributions:
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| − | '''Metric (unstructured potential Mass or unstructured Time-Curvature)''' ← correlations of Perturbation
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| − | '''Potential Motion (Acceleration)''' ← correlations of Translation
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| − | '''Electric potential''' ← correlations of Rotation:Chirality
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| − | '''Magnetic potential''' ← correlations of Rotation:Axis Orientation
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| − | These are '''unstructured physical quantities''': energetic informational contents, potentials present in fields, not yet organized as (physical properties of) objects like Particles, Waves, Dark Halos, etc.
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| − | </blockquote>
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| − |
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| − | ==== LEVEL 4 — InfoStructures (Structured Physical Quantities: Mass, Inertial Motion, Charge, Spin) ====
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| − |
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| − | <blockquote>
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| − | Organization of Level 3 potentials into '''coherent dynamical patterns''' (InfoStructures) within the Elementary Field:
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| − | * Waves (Dark Waves, GW-like, and Ordinary Waves, EMW-like)
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| − | * Vortices (Dark Vortices and Elementary Particles)
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| − | * Interactions (manifesting as Composite InfoStructures)
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| − | Elementary physical content:
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| − | * '''Structured effective Mass''' (Mass of Dark and Ordinary Vortex and Composite InfoStructures)
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| − | * '''Effective Motion (Inertia)'''
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| − | * '''Charge''' (electric)
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| − | * '''Spin''' (magnetic)
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| − | Here appear:
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| − | * '''equilibrium equations''' that describe the existence and the essence / form of InfoStructures with their Properties and Behaviors
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| − | * '''proto physical equations''' that describe their phenomena and dynamics
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| − | * '''projections''' into QM, QFT, and the Standard Model
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| − | </blockquote>
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| − |
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| − | ==== LEVEL 5 — Forms: Atoms, Molecules, Stars, Galaxies, Cosmic Structures ====
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| − | <blockquote>
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| − | The level of '''composite Physical Forms''' (physical, manifest, composite structured level):
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| − | * atoms
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| − | * molecules
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| − | * stars
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| − | * galaxies
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| − | * cosmic structures
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| − | * up to the entire physical Universe.
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| − | This is the domain of '''observable physics'''.
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| − | </blockquote>
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| − |
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| − | == Hierarchical Structure of the Formalization (Levels and Sub-Levels) ==
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| − | Let us begin with the list of the levels and sub-levels, which '''naturally reproduce the hierarchical scheme of the Process of Formation of Physical Reality'''. For each point, I will propose '''an operational guideline''' that succinctly indicates what seems to be the most promising pathway toward a precise, effective, and integrated formalization.
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| − | === LEVEL 0 — Primary Source of Reality (Ontological Root) ===
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| − | '''Conceptual Definition'''
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| − | The Primary Source of Reality is the origin of Existence (sub-Process of Creation) and of the dynamical potential that unfolds toward Essence and Form (sub-Process of Evolution). It is '''not a physical entity and does not belong to the domain of measurable phenomena'''. Rather, it is the ontological ground from which the Fundamental Force and the Elementary Field arise as inseparable aspects of a single underlying Reality.
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| − |
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| − | The Primary Source, in these two active and passive aspect, is therefore '''the pre-physical root of all dynamical, structural, and informational Processes that will later manifest as Physical Quantities, Structures, and Forms'''.
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| − | The Source expresses its Agency in '''two complementary modes''':
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| − | * '''direct (creative) Agency''', which, through its active aspect — the Fundamental Force — incessantly generates the Elementary Events and, through their discrepancies, the Elementary Action;
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| − | * '''indirect (evolutionary) Agency''', which, through the re-Action by its passive aspect — the Elementary Field — gives rise to the correlations that organize into Information / Energy (physical potentials) and InfoStructures (the constituents of the Dark and Ordinary Matter / Energy: Waves, Particles, Dark Halos, etc.).
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| − |
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| − | In these two modes, the Source is '''the pre-physical root of all dynamical, structural, and informational Processes''' that manifest as Physical Quantities, Potentials, Structures, and Forms.
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| − | '''Role in the Hierarchy'''
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| − | The Primary Source stands '''at the causal beginning of the Process of Formation of Physical Reality'''.
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| − | It provides:
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| − | * the '''incessant causal impulse''' that will express itself as the Fundamental Force,
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| − | * the '''continuous receptive variational substrate''' that will manifest as the Elementary Field,
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| − | * the '''internal interAction between these two aspects''', which generates the first dynamical expressions of Reality: the Elementary Events, and subsequently the Elementary Action. Events and Action, as the products of the creative direct Agency of the Source.
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| − |
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| − | It '''does not introduce parameters, structures, or degrees of freedom'''. Its role is purely generative: it establishes the conditions for the emergence of the physical domain.
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| − |
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| − | '''Operational Guidelines'''
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| − | * The Primary Source is '''not modelled directly'''.
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| − | * '''No parameters, variables, or equations''' are associated with it.
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| − | * It provides '''the existence condition''' for the expression of the Fundamental Force and the manifestation of the Elementary Field.
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| − | * All formalization '''begins at the level of the Force–Field complementary duality'''; the Source remains a conceptual boundary condition for the entire framework.
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| − |
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| − | ==== SUB-LEVEL 0.1 — Fundamental Force (Causal Input Parameter) ====
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| − |
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| − | '''Conceptual Definition'''
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| − | The Fundamental Force is the first physical expression of the Primary Source. '''It is a pure scalar causal intensity, devoid of direction, polarity, or internal structure'''. Its role is not to shape variation, but to enable it: it provides the causal impulse that drives the Elementary Field out of equilibrium, generating local fluctuations. '''Its defining Property is Causality, the active side of the direct Agency of the Source'''.
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| − | '''Role in the Hierarchy'''
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| − | The Fundamental Force is '''the active aspect of the Source'''. It initiates all dynamical phenomena by exerting a causal pressure on the Elementary Field. Every form of motion, variation, inhomogeneity, asymmetry, and structure ultimately traces back to this scalar causal input.
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| − |
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| − | '''Operational Guidelines'''
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| − | * Introduce a single scalar parameter <!--no latex-->F₀<!--/no latex--><!--latex:$F_0$-->, representing the intensity of the causal impulse.
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| − | * <!--no latex-->F₀<!--/no latex--><!--latex:$F_0$--> is the the '''only causal input''' of the entire model.
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| − | * All dynamical phenomena must be '''derivable from F₀ and the intrinsic resistances of the Field''' to variation / deformation.
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| − | * No additional forces, potentials, or interaction terms are introduced at this level.
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| − |
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| − | ==== SUB-LEVEL 0.2 — Elementary Field (Intrinsic Resistances of the Variational Response) ====
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| − |
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| − | '''Conceptual Definition'''
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| − | The Elementary Field is '''the continuous receptive substrate through which the Fundamental Force expresses itself'''. In its primordial state (absolute condition, absolute vacuum), it possesses '''no geometry, no metric, no orientation, and no internal structure'''.
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| − |
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| − | '''Its defining Property is Variationality''': the intrinsic capacity to respond to the causal impulse by generating local fluctuations. Through the '''organization of these pre-spatial fluctuations in the pre-temporal dimension''' arise the various levels and types of '''Potentials''' and '''Structures''' that constitute the '''relative conditions of the Field''' ("emergent" conditions: relative vacuum or Void, structured Elementary Field → Derived Physical Fields, dark and ordinary Radiation, dark and ordinary Matter/Energy).
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| − |
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| − | The Elementary Field is also the "medium" through which the '''indirect (evolutionary) Agency''' of the Source operates, producing correlations that, at higher levels of causal and variational Complexity, organize into physical potentials and InfoStructures.
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| − |
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| − | '''Role in the Hierarchy'''
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| − |
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| − | The Elementary Field is the '''receptive aspect of the Source'''. It provides the pre-physical, unmanifest, unstructured medium in which '''pre-spatial and pre-temporal dynamism''' can arise. Its '''intrinsic resistances to variation and deformation''' determine how the Field reacts to the causal impulse, shaping the '''four aspects of the Elementary Event'''.
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| − |
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| − | '''Operational Guidelines'''
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| − | '''Define the equation of the Elementary Field''',
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| − | <!--no latex--><span class="tex">𝓕 = F₀ (A, n, χ, u; k<sub>A</sub>, k<sub>n</sub>, k<sub>χ</sub>, k<sub>u</sub>)</span><!--/no latex--><!--latex:\[\mathcal{F} = F_{0}(A,n,\chi,u;\,k_{A},k_{n},k_{\chi},k_{u})\]-->
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| − |
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| − | which describes '''the Field's re-Action to the Action of the Force through the intrinsic "resistances" that encode the Field's dynamical constraints'''.
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| − |
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| − | * Introduce '''four intrinsic resistances''':
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| − | ** <!--no latex--><span class="tex">k<sub>A</sub> — intensity resistance</span><!--/no latex--><!--latex:\[k_{A}\ \text{— intensity resistance}\]-->, <!--no latex--><span class="tex">k<sub>n</sub> — linear‑orientation resistance</span><!--/no latex--><!--latex:\[k_{n}\ \text{— linear‑orientation resistance}\]
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| − | --> ('''proto-stress sector''')
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| − | *** <!--no latex--><span class="tex">k<sub>A</sub> — intensity resistance</span><!--/no latex--><!--latex:\[k_{A}\ \text{— intensity resistance}\]--> → resistance to amplitude deformation (A)
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| − | *** <!--no latex--><span class="tex">k<sub>n</sub> — linear‑orientation resistance</span><!--/no latex--><!--latex:\[k_{n}\ \text{— linear‑orientation resistance}\]
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| − | --> → resistance to orientation deformation (n)
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| − | ** <!--no latex--><span class="tex">k<sub>χ</sub> — chirality‑reorientation resistance</span><!--/no latex--><!--latex:\[k_{\chi}\ \text{— chirality‑reorientation resistance}\]-->, <!--no latex--><span class="tex">k<sub>u</sub> — intrinsic‑angular‑orientation resistance</span><!--/no latex--><!--latex:\[k_{u}\ \text{— intrinsic‑angular‑orientation resistance}\]--> ('''proto-vorticity sector''')
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| − | *** <!--no latex--><span class="tex">k<sub>χ</sub> — chirality‑reorientation resistance</span><!--/no latex--><!--latex:\[k_{\chi}\ \text{— chirality‑reorientation resistance}\]--> → resistance to chirality induction (χ)
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| − | *** <!--no latex--><span class="tex">k<sub>u</sub> — intrinsic‑angular‑orientation resistance</span><!--/no latex--><!--latex:\[k_{u}\ \text{— intrinsic‑angular‑orientation resistance}\]--> → resistance to axis orientation induction (u)
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| − | * Explore '''the hypothesis''':
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| − | ** <!--no latex--><span class="tex">k<sub>χ</sub> — chirality‑reorientation resistance</span><!--/no latex--><!--latex:\[k_{\chi}\ \text{— chirality‑reorientation resistance}\]--> ≈ ε₀ (vacuum permittivity)
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| − | ** <!--no latex--><span class="tex">k<sub>u</sub> — intrinsic‑angular‑orientation resistance</span><!--/no latex--><!--latex:\[k_{u}\ \text{— intrinsic‑angular‑orientation resistance}\]--> ≈ μ₀ (vacuum permeability)
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| − | * No additional free parameters are allowed.
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| − | * All physical constants or so called constants (c, ħ, G, coupling constants, masses…) '''must be derived, not assumed'''.
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| − | * '''Define the Field Equation explicitly''' in the terms of the four intrinsic resistances above.
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| − | * Fix the physical dimensions of the four 𝑘 parameters starting from a prototypical form of the Field Equation, and determine which conventional constants can naturally emerge from them.
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| − |
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| − |
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| − | <center>
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| − | <!--no latex-->
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| − | <table class="wikitable">
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| − | <tr>
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| − | <th>Sector</th>
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| − | <th>Parameters</th>
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| − | <th>Basic physical intuition</th>
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| − | </tr>
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| − | <tr>
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| − | <td>Proto stress sector</td>
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| − | <td>k<sub>A</sub>, k<sub>n</sub></td>
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| − | <td>Elastic–tensive response of the Field</td>
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| − | </tr>
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| − | <tr>
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| − | <td>Proto vorticity sector</td>
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| − | <td>k<sub>χ</sub>, k<sub>u</sub></td>
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| − | <td>Vortical / inductive response of the Field</td>
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| − | </tr>
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| − | </table>
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| − | <!--/no latex-->
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| − | </center>
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| − |
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| − | <!--latex:
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| − | \begin{table}[h!]
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| − | \centering
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| − | \begin{tabular}{|l|l|l|}
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| − | \hline
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| − | \textbf{Sector} & \textbf{Parameters} & \textbf{Basic physical intuition} \\
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| − | \hline
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| − | Proto stress sector & $k_{A},\, k_{n}$ & Elastic--tensive response of the Field \\
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| − | \hline
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| − | Proto vorticity sector & $k_{\chi},\, k_{u}$ & Vortical / inductive response of the Field \\
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| − | \hline
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| − | \end{tabular}
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| − | \end{table}
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| − | -->
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| − |
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| − | '''Hypothesis on the Structure of the Field's Total Resistances'''
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| − |
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| − | As an operational hypothesis, each intrinsic resistance of the Elementary Field can be treated as a '''composite quantity''' consisting of two contributions: an '''intrinsic component''', independent of the ongoing dynamical configuration, and a '''dynamic component''', which depends on the actual state of the Field. The intrinsic component represents the '''baseline variational rigidity''' of the Field and is expected to behave in a predominantly '''linear''' manner with respect to the intensity of the causal impulse. Within this framework, the conventional physical constants (ε₀, μ₀, c, ħ, G, coupling constants, mass scales) may correspond to the '''limiting values''' or '''reference scales''' associated with these intrinsic components, in accordance with the requirement that no additional free parameters be introduced.
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| − |
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| − | The dynamic component, by contrast, captures '''how the Field's resistances change as dynamism develops''', as fluctuations organize, and as local densities of Action evolve. This contribution is inherently '''non linear''', reflecting the Field's capacity for self modulation and self organization. It is therefore the natural locus for '''state dependent behaviors''', '''effective parameters''', and the emergence of '''regime specific scales'''. In this view, the total resistance in each sector (proto stress and proto torsion or vorticity) becomes a '''state sensitive quantity''', encoding both the fundamental constraints of the Field and the transformations induced by its own internal activity.
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| − |
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| − | '''Proto Vorticity and the Statistical Emergence of Electromagnetic Physical Quantities'''
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| − |
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| − | Each Elementary Event normally exhibits '''non-zero proto-vorticity components''' (χ and u). In the absence of structures, these components fluctuate randomly along τ (the pre-temporal dimension) and do not generate physical quantities. When the inhomogeneities of their τ-distributions become correlated, physical quantities emerge:
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| − | * '''correlations of χ aspect''' → Charge and Electric Potential,
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| − | * '''correlations of u aspect''' → Spin and Magnetic Potential,
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| − | * '''mixed correlations''' → full electromagnetic phenomena.
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| − |
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| − | ==== SUB-LEVEL 0.3 — Internal Interaction (Force–Field Coupling) ====
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| − |
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| − | '''Conceptual Definition'''
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| − |
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| − | The internal interaction between the Fundamental Force and the Elementary Field is the '''true dynamical origin''' of all subsequent Levels. The scalar causal impulse <!--no latex-->F₀<!--/no latex--><!--latex:$F_0$--> acts on the Field <!--no latex--><span class="tex">𝓕</span><!--/no latex--><!--latex:\[\mathcal{F}\]-->, and the Field responds according to its '''total resistances''' {<!--no latex--><span class="tex">k<sub>A</sub></span><!--/no latex--><!--latex:\[k_{A}\]-->, <!--no latex--><span class="tex">k<sub>n</sub></span><!--/no latex--><!--latex:\[k_{n}\]-->, <!--no latex--><span class="tex">k<sub>χ</sub></span><!--/no latex--><!--latex:\[k_{\chi}\]-->, <!--no latex--><span class="tex">k<sub>u</sub></span><!--/no latex--><!--latex:\[k_{u}\]-->} (intrinsic + dynamic components), producing the first dynamical expressions of Reality: the '''Elementary Events'''.
| |
| − |
| |
| − | This interaction does not merely generate dynamism: it also '''modulates the Field's total resistances''', altering the balance between their intrinsic (state-independent) and dynamic (state-dependent) components. This modulation is the earliest manifestation of the Field’s capacity for '''self-adjustment''' and '''self-organization'''.
| |
| − |
| |
| − | The Elementary Action (EA) arises from the '''discrepancies in the τ-distributions''' of the Elementary Events.
| |
| − |
| |
| − | '''Role in the Hierarchy'''
| |
| − |
| |
| − | This interaction is the '''first causal act of dynamical Creation'''. It generates the pre-spatial and pre-temporal fluctuations that become the building blocks of Physical Quantities, Potentials, Structures, and Forms.
| |
| − |
| |
| − | By modulating the Field's resistances, the causal impulse determines the '''local regime''' in which each Elementary Event is produced, shaping the earliest differentiation between linear and non-linear responses of the Field.
| |
| − |
| |
| − | '''Operational Guidelines'''
| |
| − |
| |
| − | * Model the interaction as a '''local variational response''' of the Elementary Field to the scalar causal impulse:
| |
| − | <!--no latex--><span class="tex">EE(𝑥,τ)= δ𝓕(𝑥,τ) = Resp<sub>𝓕</sub> (𝑥,τ; F₀, k<sub>A</sub>, k<sub>n</sub>, k<sub>χ</sub>, k<sub>u</sub>)</span><!--/no latex--><!--latex:\[EE(\mathit{x},\tau)= \delta\mathcal{F}(\mathit{x},\tau) = \mathrm{Resp}_{\mathcal{F}}\!\left(\mathit{x},\tau;\,F_{0},k_{A},k_{n},k_{\chi},k_{u}\right)\]-->
| |
| − | * The response depends only on:
| |
| − | ** the causal input <!--no latex-->F₀<!--/no latex--><!--latex:$F_0$-->,
| |
| − | ** the '''total resistances''' {<!--no latex--><span class="tex">k<sub>A</sub></span><!--/no latex--><!--latex:\[k_{A}\]-->, <!--no latex--><span class="tex">k<sub>n</sub></span><!--/no latex--><!--latex:\[k_{n}\]-->, <!--no latex--><span class="tex">k<sub>χ</sub></span><!--/no latex--><!--latex:\[k_{\chi}\]-->, <!--no latex--><span class="tex">k<sub>u</sub></span><!--/no latex--><!--latex:\[k_{u}\]-->}, each understood as the sum of an intrinsic component and a dynamic component modulated by the ongoing Field configuration.
| |
| − | * No background metric, no external potentials, no additional structures.
| |
| − | * The Elementary Event is the '''minimal dynamical unit''' generated by this interaction, encoding both:
| |
| − | ** the immediate effect of the causal impulse,
| |
| − | ** the instantaneous modulation of the Field's resistances.
| |
| − |
| |
| − | ==== SUB-LEVEL 0.4 — Event-Point (Analytical Sampling Locus) ====
| |
| − |
| |
| − | '''Conceptual Definition'''
| |
| − |
| |
| − | The Event-Point is an '''infinitesimal analytical locus''' — a pre-spatial and pre-temporal '''sampling operator''' — through which the local micro-dynamism of the Field becomes expressible. It is '''not''' a physical entity, nor a component of the Field, nor a primitive of Reality: it is a '''conceptual device''' used to extract the instantaneous configuration of the Field's variational activity.
| |
| − |
| |
| − | '''Role in the Hierarchy'''
| |
| − |
| |
| − | The Event-Point does '''not''' belong to the ontological hierarchy of Reality. It introduces no structure, no geometry, no parameters, no dynamics, and no ontological content. Its sole role is to provide the '''purely analytical interface''' that allows us to define the Elementary Event as the '''local fluctuation of the Field generated by the Force–Field interaction'''.
| |
| − |
| |
| − | Through the Event-Point, the Field's micro-dynamism — shaped by the causal impulse and by the instantaneous configuration of the Field's total resistances — becomes analytically accessible.
| |
| − |
| |
| − | '''Operational Guidelines'''
| |
| − |
| |
| − | * Treat the Event-Point as an '''analytical operator''', never as a physical object.
| |
| − | * It introduces '''no parameters''', '''no dynamics''', and '''no ontological content'''.
| |
| − | * Use it solely to define <!--no latex--><span class="tex">EE(𝑥,τ)= δF(𝑥,τ)</span><!--/no latex--><!--latex:\[EE(𝑥,\tau)=\delta F(𝑥,\tau)\]--> as the '''local fluctuation''' of the Field at the infinitesimal sampling locus.
| |
| − |
| |
| − | '''𝑥— Pre-spatial analytical label'''
| |
| − |
| |
| − | 𝑥 is not a spatial coordinate and does not refer to a point in physical space. It is an analytical label used to identify a local sampling locus of the Field's micro dynamism before the emergence of geometry. It carries no metric, no distance, no orientation, and no geometric structure. Its sole purpose is to allow the analytical extraction of a local fluctuation of the Field. In short: 𝑥 = "pre-spatial analytical index of the sampling locus".
| |
| − |
| |
| − | '''τ— Pre-temporal evolution parameter'''
| |
| − |
| |
| − | τ is the pre temporal evolution parameter along which the micro dynamism of the Field unfolds. It is not physical time. It is the internal ordering parameter of the Field's variational activity, providing the sequence along which Elementary Events are generated and organized. It becomes the proto temporal axis from which physical time will later emerge. In short: τ="pre-temporal ordering parameter of the Field's dynamism".
| |
| − |
| |
| − | '''Interpretation of EE(𝑥,τ)=δF(𝑥,τ)'''
| |
| − |
| |
| − | EE(x,τ)=δF(x,τ) means that:
| |
| − | * at the '''analytical locus''' 𝑥 (pre-spatial),
| |
| − | * at the '''pre-temporal stage''' τ,
| |
| − | * the Elementary Event is the '''local fluctuation''' of the Field
| |
| − | * '''produced by the causal impulse''' and '''modulated by the Field's total resistances'''.
| |
| − | Thus:
| |
| − | * 𝑥 specifies "where" (pre-spatially) the fluctuation is sampled,
| |
| − | * τ specifies "when" (pre-temporally) the fluctuation occurs.
| |
| − |
| |
| − | '''Sampling, not generating'''
| |
| − |
| |
| − | The Event-point does '''not''' generate dynamism. It only '''samples''' the dynamism produced by the Force–Field interaction and by the instantaneous modulation of the Field's resistances.
| |
| − |
| |
| − | === LEVEL 1 — Elementary Events (Pre-Spatial and Pre-Temporal Dynamism) ===
| |
| − |
| |
| − | '''Conceptual Definition'''
| |
| − |
| |
| − | Elementary Events (EE) are the '''first dynamical expressions''' generated by the interaction between the Fundamental Force (active aspect of the Source) and the Elementary Field (variational, receptive aspect of the Source). They represent the '''minimal units of pre-spatial and pre-temporal variation'''.
| |
| − |
| |
| − | An EE is not a particle, not a wave, and not a physical event in spacetime. It is a '''local fluctuation of the Elementary Field''', defined at an Event-point, and decomposed into '''four intrinsic variational aspects''':
| |
| − | * '''A''' — amplitude (of expansion–contraction component of σ‑fluctuations)
| |
| − | * '''n''' — orientation (of expansion–contraction orientation in σ‑fluctuations)
| |
| − | * '''χ''' — chirality (of vorticity‑sense component of σ‑fluctuations)
| |
| − | * '''u''' — axis orientation (of vorticity‑axis component of σ‑fluctuations)
| |
| − |
| |
| − | Each aspect configures a distinct mode of variational response of the Field.
| |
| − |
| |
| − | An EE configures simultaneously:
| |
| − | * the '''instantaneous pre-spatial configuration''' (σ fluctuation),
| |
| − | * the '''statistical pre-temporal evolution''' (τ distribution).
| |
| − |
| |
| − | '''Role in the Hierarchy'''
| |
| − |
| |
| − | Elementary Events constitute the '''first true dynamical level''' of the Process of Formation of Physical Reality. They provide:
| |
| − | * the '''pre-spatial structure''' of variation (σ),
| |
| − | * the '''pre-temporal statistical evolution''' (τ),
| |
| − | * the '''four foundational aspects''' from which all physical quantities emerge,
| |
| − | * the '''raw dynamical content''' from which Elementary Action (Level 2) arises.
| |
| − |
| |
| − | EE are therefore the '''bridge''' between the ontological ground (Level 0) and the emergence of dynamical tendencies (Level 2).
| |
| − |
| |
| − | '''Operational Guidelines'''
| |
| − |
| |
| − | * Define EE(𝑥, τ) as the local fluctuation of the Field at an Event-Point.
| |
| − | * Decompose each EE into the four aspects {A, n, χ, u}.
| |
| − | * Treat '''σ-fluctuations''' as instantaneous pre-spatial variations.
| |
| − | * Treat '''τ-distributions''' as statistical pre-temporal evolutions.
| |
| − | * Introduce '''no geometry, no metric, no spacetime structure''' at this level.
| |
| − | * Analyze the possible '''interactions among the manifestations''' of the four variational aspects of the Field's dynamism.
| |
| − |
| |
| − | ==== SUB-LEVEL 1.1 — σ-Fluctuations (Pre-Spatial Aspects) ====
| |
| − |
| |
| − | '''Conceptual Definition'''
| |
| − |
| |
| − | σ-Fluctuations represent the '''instantaneous pre-spatial configuration''' of an Elementary Event. They encode the local state of the Field in terms of four variational aspects:
| |
| − | * A — amplitude of the fluctuation,
| |
| − | * n — orientation tendency,
| |
| − | * χ — chiral asymmetry,
| |
| − | * u — axis-orientation tendency.
| |
| − |
| |
| − | These aspects do '''not''' occur in space; they are the pre-spatial precursors of spatial structure.
| |
| − |
| |
| − | '''Role in the Hierarchy'''
| |
| − |
| |
| − | σ-Fluctuations provide the '''structural snapshot''' of the Field's local dynamism. They define the intrinsic configuration from which τ-evolution will extract statistical tendencies.
| |
| − |
| |
| − | '''Operational Guidelines'''
| |
| − |
| |
| − | * Represent σ-fluctuations as instantaneous values of {A, n, χ, u}.
| |
| − | * No temporal evolution is associated with σ.
| |
| − | * σ defines the local "shape" of the EE before any statistical accumulation.
| |
| − |
| |
| − | ==== SUB-LEVEL 1.2 — τ-Distributions (Pre-Temporal Aspects) ====
| |
| − |
| |
| − | '''Conceptual Definition'''
| |
| − |
| |
| − | τ-Distributions describe the '''statistical evolution''' of each σ-aspect along the pre-temporal parameter τ. They encode how the instantaneous fluctuations manifest as a process and accumulate giving rise to emergent tendencies that become physical quantities.
| |
| − |
| |
| − | '''Role in the Hierarchy'''
| |
| − |
| |
| − | τ-Distributions transform instantaneous variation into '''pre-structured dynamical content'''. They provide:
| |
| − | * variability profiles for A,
| |
| − | * alignment tendencies for n,
| |
| − | * chiral asymmetry accumulation for χ,
| |
| − | * axis-orientation coherence for u.
| |
| − |
| |
| − | These statistical tendencies are the '''foundation of Elementary Action''' (Level 2).
| |
| − |
| |
| − | '''Operational Guidelines'''
| |
| − |
| |
| − | * Model τ as a '''pre-temporal parameter''' with no metric or duration.
| |
| − | * Represent τ-distributions as statistical functions of τ for each σ-aspect.
| |
| − | * Use τ-distributions to derive the four components of Elementary Action.
| |
| − | * Introduce no physical time or spacetime structure at this level.
| |
| − |
| |
| − | === LEVEL 2 — Elementary Action (EA) ===
| |
| − |
| |
| − | '''Conceptual Definition'''
| |
| − |
| |
| − | '''Elementary Action (EA)''' consists of the inhomogeneities in the dynamics of the Elementary Field: the '''local asymmetries''' (ΔP) that arise in the τ(σ) distributions of the four σ aspects <!--no latex--><span class="tex">(A, n, χ, u)</span><!--/no latex--><!--latex:\[(A,\,n,\,\chi,\,u)\]--> of an Elementary Event (EE), when compared to their corresponding '''stochastically symmetric reference τ(σ) distributions'''.
| |
| − |
| |
| − | A stochastically symmetric reference τ(σ) distribution is defined by:
| |
| − | * '''no pre-spatial prevalence''' in σ fluctuations (isotropy),
| |
| − | * '''no pre-temporal prevalence in the single σ aspects''', i.e. '''full pre-temporal τ(σ) distribution homogeneity'''.
| |
| − |
| |
| − | When symmetry holds:
| |
| − | <!--no latex--><span class="tex">ΔP<sub>𝓲</sub> = 0</span><!--/no latex--><!--latex:\[\Delta P_{\mathcal{i}} = 0\]-->
| |
| − |
| |
| − | When symmetry is broken:
| |
| − | <!--no latex--><span class="tex">ΔP<sub>𝓲</sub> ≠ 0</span><!--/no latex--><!--latex:\[\Delta P_{\mathcal{i}} \neq 0\]-->
| |
| − |
| |
| − | Discrepancies measure inhomogeneity, asymmetry.
| |
| − |
| |
| − | These inhomogeneities constitute the '''four Modes of Elementary Action''', one for each σ aspect:
| |
| − | * <!--no latex--><span class="tex"><b>ΔP<sub>A</sub></b></span><!--/no latex--><!--latex:\[\mathbf{\Delta P_{A}}\]--> → Perturbation (fluctuation intensity asymmetry / discrepancy)
| |
| − | * <!--no latex--><span class="tex"><b>ΔP<sub>n</sub></b></span><!--/no latex--><!--latex:\[\mathbf{\Delta P_{n}}\]--> → Translation (fluctuation orientation asymmetry / discrepancy)
| |
| − | * <!--no latex--><span class="tex"><b>ΔP<sub>χ</sub></b></span><!--/no latex--><!--latex:\[\mathbf{\Delta P_{\chi}}\]--> → Rotation:Chirality (vortical chirality asymmetry / discrepancy)
| |
| − | * <!--no latex--><span class="tex"><b>ΔP<sub>u</sub></b></span><!--/no latex--><!--latex:\[\mathbf{\Delta P_{u}}\]--> → Rotation:AxisOrientation (vortical intrinsic axis asymmetry / discrepancy)
| |
| − |
| |
| − | EA is therefore the '''first differentiation''' of the Field's dynamism: a set of '''pure, local, pre-physical tendencies, asymmetries''', not yet correlated, not yet structured, and not yet manifest as physical content.
| |
| − |
| |
| − | EA is '''not''' a force, not a potential, not a structure, and not a relation. It is simply the '''pattern of τ(σ) asymmetries''' emerging from the spontaneous dynamism of the Field — the '''objects''' that the Relational Bridge will correlate.
| |
| − |
| |
| − | EA is the '''first appearance of dynamical asymmetry''' in the Field. It is pure differentiation — not yet relational, not yet structured, not yet physical. EA provides the dynamical material that the Relational Bridge configure into '''Information/Energy'''.
| |
| − |
| |
| − | '''Role in the Hierarchy'''
| |
| − |
| |
| − | Elementary Action provides:
| |
| − | * the '''first differentiated dynamical content''' extracted from τ-distributions,
| |
| − | * the '''four proto-tendencies''', which are correlated,
| |
| − | * the '''objects''' of the Relational Bridge (Level 2 → Level 3),
| |
| − | * the '''pre-physical dynamical material''' from which Information/Energy (Potentials) will emerge.
| |
| − |
| |
| − | EA is the level where '''dynamical asymmetry appears''', but '''no correlation''' yet exists.
| |
| − |
| |
| − | '''Operational Guidelines'''
| |
| − |
| |
| − | * Derive EA from the discrepancies of the τ-distributions: <!--no latex--><span class="tex"><b>ΔP<sub>A</sub>, ΔP<sub>n</sub>, ΔP<sub>χ</sub>, ΔP<sub>u</sub></b></span><!--/no latex--><!--latex:\[\mathbf{\Delta P_{A}},\,\mathbf{\Delta P_{n}},\,\mathbf{\Delta P_{\chi}},\,\mathbf{\Delta P_{u}}\]-->.
| |
| − | * For each σ aspect, compute the discrepancy (each discrepancy ΔP_x corresponds to one Mode/sub-Mode of EA):
| |
| − | <blockquote>
| |
| − | <!--no latex--><span class="tex">ΔP<sub>𝓲</sub> = τ<sub>𝓲</sub><sup>actual</sup> − τ<sub>𝓲</sub><sup>stochastically symmetric</sup></span><!--/no latex--><!--latex:\[\Delta P_{\mathcal{i}} = \tau_{\mathcal{i}}^{\mathrm{actual}} - \tau_{\mathcal{i}}^{(\mathrm{stochastically\ symmetric})}\]-->.
| |
| − | * If the τ distribution is τ(σ) symmetric → <!--no latex--><span class="tex">ΔP<sub>𝓲</sub> = 0</span><!--/no latex--><!--latex:\[\Delta P_{\mathcal{i}} = 0\]-->
| |
| − | * If the τ distribution is τ(σ) asymmetric → <!--no latex--><span class="tex">ΔP<sub>𝓲</sub> ≠ 0</span><!--/no latex--><!--latex:\[\Delta P_{\mathcal{i}} \neq 0\]-->
| |
| − | </blockquote>
| |
| − | * EA is the '''four component vector''':
| |
| − | <blockquote>
| |
| − | <!--no latex--><span class="tex">EA = (ΔP<sub>A</sub>, ΔP<sub>n</sub>, ΔP<sub>χ</sub>, ΔP<sub>u</sub>)</span><!--/no latex--><!--latex:\[EA = (\Delta P_{A},\,\Delta P_{n},\,\Delta P_{\chi},\,\Delta P_{u})\]-->
| |
| − | * '''Proto-stress intensity''' (<!--no latex--><span class="tex">ΔP<sub>A</sub></span><!--/no latex--><!--latex:\[\Delta P_{A}\]--> → Perturbation)
| |
| − | * '''Proto-stress orientation''' (<!--no latex--><span class="tex">ΔP<sub>n</sub></span><!--/no latex--><!--latex:\[\Delta P_{n}\]--> → Translation)
| |
| − | * '''Proto-vorticity chirality''' (<!--no latex--><span class="tex">ΔP<sub>χ</sub></span><!--/no latex--><!--latex:\[\Delta P_{\chi}\]--> → Rotation:Chirality)
| |
| − | * '''Proto-vorticity intrinsic axis orientation''' (<!--no latex--><span class="tex">ΔP<sub>u</sub></span><!--/no latex--><!--latex:\[\Delta P_{u}\]--> → Rotation:AxisOrientation)
| |
| − | </blockquote>
| |
| − | * No geometry, metric, spatial relation, or correlation is introduced at this level.
| |
| − | * EA is '''not''' (yet) Energy, Metric/Mass, Accelerated or Inertial Motion, Electric potential or Charge, Magnetic potential or Spin — only the '''pre-physical tendencies''' from which these will emerge.
| |
| − |
| |
| − | ==== SUB-LEVEL 2.1 — Intensity Asymmetry (<!--no latex--><span class="tex">ΔP<sub>A</sub></span><!--/no latex--><!--latex:\[\Delta P_{A}\]--> → Perturbation) ====
| |
| − |
| |
| − | '''Conceptual Definition'''
| |
| − |
| |
| − | <!--no latex--><span class="tex">ΔP<sub>A</sub></span><!--/no latex--><!--latex:\[\Delta P_{A}\]-->, proto-stress intensity discrepancy, measures the deviation of the amplitude τ-distribution from τ(σ) stochastic symmetry. It configures the Field's tendency toward local intensity variation of σ-fluctuations -> Perturbation.
| |
| − |
| |
| − | '''Role in the Hierarchy'''
| |
| − |
| |
| − | Proto-stress intensity provides:
| |
| − | * the '''intensity component''' of the Field's linear deformation tendency,
| |
| − | * the causal precursor of '''Metric''' (Level 3) and '''Mass''' (Level 4),
| |
| − | * the seed of '''gravitational and inertial behavior'''.
| |
| − |
| |
| − | '''Operational Guidelines'''
| |
| − |
| |
| − | * Compute proto-stress intensity as <!--no latex--><span class="tex">ΔP<sub>A</sub></span><!--/no latex--><!--latex:\[\Delta P_{A}\]--> -> Perturbation EA Mode.
| |
| − | * Treat <!--no latex--><span class="tex">ΔP<sub>A</sub></span><!--/no latex--><!--latex:\[\Delta P_{A}\]--> as a '''pre-physical intensity tendency''', not yet as '''Metric curvature/deformation''' or positive/negative '''Mass'''.
| |
| − |
| |
| − | ==== SUB-LEVEL 2.2 — Orientation Asymmetry (<!--no latex--><span class="tex">ΔP<sub>n</sub></span><!--/no latex--><!--latex:\[\Delta P_{n}\]--> → Translation) ====
| |
| − |
| |
| − | '''Conceptual Definition'''
| |
| − |
| |
| − | <!--no latex--><span class="tex">ΔP<sub>n</sub></span><!--/no latex--><!--latex:\[\Delta P_{n}\]-->, proto stress orientation discrepancy, measures the deviation of the orientation τ distribution from τ(σ) isotropy and homogeneity. It configures the Field's tendency toward '''directional asymmetry''' (Translation). It is the causal precursor of Potential and Effective Motion (acceleration, inertia and kinetic behavior).
| |
| − |
| |
| − | '''Role in the Hierarchy'''
| |
| − |
| |
| − | Proto-stress orientation provides:
| |
| − | * the '''orientation component''' of the Field's linear deformation tendency,
| |
| − | * the foundation (the causal precursor) for '''Potential Motion: Acceleration''' and '''Effective Motion (accelerated and inertial)''' and at Level 3 and 4 respectively,
| |
| − | * the seed of '''kinetic and dynamical behavior'''.
| |
| − |
| |
| − | '''Operational Guidelines'''
| |
| − |
| |
| − | * Compute proto-stress orientation as <!--no latex--><span class="tex">ΔP<sub>n</sub></span><!--/no latex--><!--latex:\[\Delta P_{n}\]--> -> Translation EA Mode.
| |
| − | * Treat it as a '''pre-physical motion tendency''', not (yet) as '''acceleration''' or '''inertial/accelerated Motion''', velocity or momentum.
| |
| − |
| |
| − | ==== SUB-LEVEL 2.3 — Chirality Asymmetry (<!--no latex--><span class="tex">ΔP<sub>χ</sub></span><!--/no latex--><!--latex:\[\Delta P_{\chi}\]--> → Rotation:Chirality) ====
| |
| − |
| |
| − | '''Conceptual Definition'''
| |
| − |
| |
| − | <!--no latex--><span class="tex">ΔP<sub>χ</sub></span><!--/no latex--><!--latex:\[\Delta P_{\chi}\]-->, proto vorticity chirality discrepancy, measures the deviation of the chirality τ distribution from τ(σ)symmetric behavior. It configures the Field's intrinsic tendency toward '''chiral asymmetry'''. It is the causal precursor of Electric potential and electric Charge.
| |
| − |
| |
| − | '''Role in the Hierarchy'''
| |
| − |
| |
| − | Proto-vorticity chirality provides:
| |
| − | * the '''chiral component''' of the Field's intrinsic angular deformation tendency,
| |
| − | * the foundation (the causal precursor) for '''Electric potential''' and '''Charge''' at Level 3 and 4 respectively,
| |
| − | * the seed of '''chiral and electric asymmetry'''.
| |
| − |
| |
| − | '''Operational Guidelines'''
| |
| − |
| |
| − | * Compute proto-vorticity chirality as <!--no latex--><span class="tex">ΔP<sub>χ</sub></span><!--/no latex--><!--latex:\[\Delta P_{\chi}\]--> -> Rotation:Chirality EA Mode.
| |
| − | * Treat it as a '''pre-physical polarity tendency''', not (yet) as electric Charge or electric Potential.
| |
| − |
| |
| − | ==== SUB-LEVEL 2.4 — Axis Orientation Asymmetry (<!--no latex--><span class="tex">ΔP<sub>u</sub></span><!--/no latex--><!--latex:\[\Delta P_{u}\]--> → Rotation:AxisOrientation) ====
| |
| − |
| |
| − | '''Conceptual Definition'''
| |
| − |
| |
| − | <!--no latex--><span class="tex">ΔP<sub>u</sub></span><!--/no latex--><!--latex:\[\Delta P_{u}\]-->, proto vorticity intrinsic axis orientation discrepancy, measures the deviation of the intrinsic axis orientation τ distribution from σ–τ symmetry. It configures the Field's tendency toward '''intrinsic axial asymmetry''' (Rotation:AxisOrientation). It is the precursor of Magnetic potential and Spin.
| |
| − |
| |
| − | '''Role in the Hierarchy'''
| |
| − |
| |
| − | Proto-vorticity intrinsic axis orientation provides:
| |
| − | * the '''axial component''' of the Field's intrinsic angular deformation tendency,
| |
| − | * the foundation (the causal precursor) for '''Magnetic potential and Spin at Level 3 and 4 respectively,
| |
| − | * the seed of '''intrinsic vortical /angular polarization.
| |
| − |
| |
| − | '''Operational Guidelines'''
| |
| − |
| |
| − | * Compute proto-vorticity intrinsic axis orientation as <!--no latex--><span class="tex">ΔP<sub>u</sub></span><!--/no latex--><!--latex:\[\Delta P_{u}\]--> -> Rotation:AxisOrientation EA Mode.
| |
| − | * Treat it as a '''pre-physical intrinsic vortical tendency''', not (yet) as '''magnetic Spin''' (intrinsic magnetic moment, etc.) or '''magnetic Potential'''.
| |
| − |
| |
| − | === LEVEL 3 — Information/Energy (Emergent Physical Content) ===
| |
| − |
| |
| − | '''Conceptual Definition'''
| |
| − |
| |
| − | Information/Energy is the level at which the four components of Elementary Action, once correlated through the Relational Bridge, manifest as '''unstructured physical quantities — the physical Potentials of the Field'''.
| |
| − | Here the pre‑physical tendencies of EA '''acquire physical content''', i.e., an energetic form that is recognizable but not yet structured into individuated / individuabile objects (Wave, Particles, Dark Halos, etc.).
| |
| − |
| |
| − | At this level, the Field manifests the '''Fundamental Physical Quantities''' in their '''diffuse, non‑structured, or weakly structured''' form, and each Mode of EA configures a '''Fundamental Physical Potential''':
| |
| − | * '''Mass potential (or Potential Mass): "Metric"'''
| |
| − | * '''Motion potential (or Potential Motion): "Acceleration"'''
| |
| − | * '''"Electric potential"'''
| |
| − | * '''"Magnetic potential"'''
| |
| − |
| |
| − | These potentials are the unstructured energetic forms through which the turbulence of the Field can be described.
| |
| − | They do not generate InfoStructures directly; InfoStructures emerge from the turbulence of the Field when the equilibrium conditions are satisfied. Once formed, they acquire their own physical identity and become sources of the corresponding Potentials (Metric deformation, Motion/acceleration, electric Potential, magnetic Potential).
| |
| − |
| |
| − | In summary:
| |
| − | * Level 3 = emergence of physical quantities in their '''potential (unstructured or weakly structured)''' form.
| |
| − | * Level 4 is the emergence of physical quantities in their '''effective (structured)''' form.
| |
| − |
| |
| − | '''EA → Physical Potentials → InfoStructures'''
| |
| − |
| |
| − | The variational tendencies of the Field become '''physical Potentials''', not yet physical structures:
| |
| − | * '''Perturbation → Metric curvature/deformation (Mass Potential, or Potential Mass)'''
| |
| − | * '''Translation → Motion potential (Acceleration)'''
| |
| − | * '''Rotation:Chirality → Electric potential'''
| |
| − | * '''Rotation:AxisOrientation → Magnetic potential'''
| |
| − |
| |
| − | '''Mapping between EA Modes, Physical Potentials, and InfoStructures'''
| |
| − |
| |
| − | <!--no latex-->
| |
| − | <table class="wikitable">
| |
| − | <tr>
| |
| − | <th>Mode / Component of EA</th>
| |
| − | <th>Information/Energy (Unstructured Physical Quantity — Potential)</th>
| |
| − | <th>InfoStructure (Structured Physical Quantity — Effective)</th>
| |
| − | </tr>
| |
| − | <tr>
| |
| − | <td>Perturbation</td>
| |
| − | <td>Metric deformation / curvature (Mass potential)</td>
| |
| − | <td>Mass</td>
| |
| − | </tr>
| |
| − | <tr>
| |
| − | <td>Translation</td>
| |
| − | <td>Motion potential (or Potential Motion): Acceleration</td>
| |
| − | <td>Effective Motion (inertial or accelerated)</td>
| |
| − | </tr>
| |
| − | <tr>
| |
| − | <td>Rotation:Chirality</td>
| |
| − | <td>Electric Potential</td>
| |
| − | <td>Electric Charge</td>
| |
| − | </tr>
| |
| − | <tr>
| |
| − | <td>Rotation:AxisOrientation</td>
| |
| − | <td>Magnetic Potential</td>
| |
| − | <td>Magnetic Spin</td>
| |
| − | </tr>
| |
| − | </table>
| |
| − | <!--/no latex-->
| |
| − | <!--latex:
| |
| − | \begin{table}[h!]
| |
| − | \centering
| |
| − | \begin{tabular}{|l|l|l|}
| |
| − | \hline
| |
| − | \textbf{Mode / Component of EA} &
| |
| − | \textbf{Information/Energy (Unstructured Physical Quantity — Potential)} &
| |
| − | \textbf{InfoStructure (Structured Physical Quantity — Effective)} \\
| |
| − | \hline
| |
| − | Perturbation &
| |
| − | Metric deformation / curvature (Mass potential) &
| |
| − | Mass \\
| |
| − | \hline
| |
| − | Translation &
| |
| − | Motion potential (or Potential Motion): Acceleration &
| |
| − | Effective Motion (inertial or accelerated) \\
| |
| − | \hline
| |
| − | Rotation:Chirality &
| |
| − | Electric Potential &
| |
| − | Electric Charge \\
| |
| − | \hline
| |
| − | Rotation:AxisOrientation &
| |
| − | Magnetic Potential &
| |
| − | Magnetic Spin \\
| |
| − | \hline
| |
| − | \end{tabular}
| |
| − | \caption{Mapping between EA Modes, Physical Potentials, and InfoStructures}
| |
| − | \end{table}
| |
| − | -->
| |
| − |
| |
| − | '''The First Appearance of "Structure"'''
| |
| − |
| |
| − | This level of Information / Energy is the first level at which a preliminary form of "structure" appears: not an individuated / individuabile physical structures, objects like Waves, Particles, Halos, but diffuse structures of correlations among Events — the organizational patterns of EA in its Modes/Components.
| |
| − |
| |
| − | Recall the definition: '''"Structure" is what we observe — the apparently stable aspect of a Physical Reality in incessant transformation'''. It is the outward form of the dynamic processes that generate the Existence and the Essence/Form of InfoStructures.
| |
| − |
| |
| − | At this level, structure appears in potential form: Metric deformation / curvature, Motion potential, Electric potential, Magnetic potential. At the next level, InfoStructures, structure appears in effective form: Mass, Effective Motion (inertial or accelerated), Charge, Spin.
| |
| − |
| |
| − | '''Stochastic vs Deterministic Processes'''
| |
| − |
| |
| − | The dynamic Processes underlying the "structure" of the objects of Physical Reality (Processes = Events produced by Entities/Sources/Force–Field pairs, organized by Relations) must be modeled through '''mixed processes''':
| |
| − | * '''stochastic''' → the indeterminate component, manifestation of the fundamental uncertainty and randomness of the dynamism of the Elementary Field—of Elementary Action.
| |
| − | * '''deterministic''' → the organizational component, correlations of EA, Information/Energy, observable forms, partially superimposed to the indeterminate component.
| |
| − |
| |
| − | The '''indeterminate''' component:
| |
| − | * is ineliminable,
| |
| − | * constitutes the foundation of '''Existence''',
| |
| − | * is describable only through statistics and probability,
| |
| − | * provides the substrate for the "determinate" component.
| |
| − |
| |
| − | The '''deterministic''' component:
| |
| − | * give rise to '''Essence / Form''',
| |
| − | * organizes correlations,
| |
| − | * sustains the form we observe, the Physical Structures, the Forms that populate the Physical Universe.
| |
| − |
| |
| − | Existence and Essence/Form are the two fundamental Properties of the Formation of Reality.
| |
| − |
| |
| − | '''Two degrees of organization'''
| |
| − |
| |
| − | * '''Level 3 (Potentials)''': at the level of Information / Energy—the level of Potentials—the deterministic component (the portion of organization superimposed to the indeterminate component within the dynamism of the Field) manifests in simple forms (e.g., gradients with quadratic behavior, such as the gravitational potential, the electric potential, and the magnetic potential).
| |
| − |
| |
| − | * '''Level 4 (InfoStructures)''': the deterministic component appears organized into more complex individuate / individuable forms (Waves, Vortices, Interactions).
| |
| − |
| |
| − | The two levels thus manifest '''two degrees of structural organization'''.
| |
| − |
| |
| − | '''The random, indeterminate component is ineliminable''', because it constitutes the foundation of the Existence of Reality—the direct manifestation of the Primary Source of Reality. We can describe it only through statistics and probability, through stochastic processes. This component is '''omnipresent''', even though in increasingly complex Forms (classical objects, rocks, planets, galaxies, etc.) its manifestation becomes progressively less evident, overshadowed by the deterministic component, by the more defined, more stable, more certain Form. And in the middle world—the world of quantum objects, Waves, Particles, Interactions—uncertainty and indeterminacy emerge forcefully in the "weirdness" of what we observe and measure.
| |
| − |
| |
| − | '''Reality is neither determined nor undetermined''', neither certain nor uncertain, neither deterministic nor probabilistic. It is '''a composite dynamical Process in which the two components co‑evolve''' in a perpetual, unstable (dis)equilibrium.
| |
| − |
| |
| − | '''The chaotic component generates new forms'''. '''The structured component stabilizes and preserves forms'''.
| |
| − |
| |
| − | The chaotic dynamism continuously reshapes the Form of Reality through incessant mutation. The structured dynamism tends to preserve the Form by stabilizing its patterns.
| |
| − |
| |
| − | The actual evolution of Reality emerges from '''the interplay of these two regimes''' — one generative, one conservative — whose interaction produces the ongoing transformation and (partial) causal and variational persistence of the Form.
| |
| − |
| |
| − | '''Role in the Hierarchy'''
| |
| − |
| |
| − | Information/Energy is the '''first level of Physical Reality''': the bridge between dynamical tendencies of Elementary Action (EA) and the organized physical structures of Level 4 (InfoStructures).
| |
| − |
| |
| − | At this level, the Field exhibits:
| |
| − | * the '''first emergence of physical content''' from EA,
| |
| − | * the '''unstructured physical quantities''' that correspond to the structured quantities of InfoStructures,
| |
| − | * the '''energetic substrate in the form of turbulence''' within the Field, from which, under specific conditions and through specific formative Processes, InfoStructures emerge, stabilize, organize, and evolve,
| |
| − | * the '''energetic substrate in the form of physical Potentials''' within the Field, produced by InfoStructures in their surroundings (Metric deformation due to Infostructure's Mass, Potential Motion, or Acceleration, through gravitational, electric and magnetic attraction/repulsion, Electric and Magnetic potentials generated by Charge and Spin respectively).
| |
| − |
| |
| − | Without this level, the transition from EA (pre-physical asymmetries) to InfoStructures (structured physical entities) would be discontinuous and conceptually opaque.
| |
| − |
| |
| − | '''Operational Guidelines'''
| |
| − |
| |
| − | * Derive Information/Energy '''exclusively''' from the correlations of the four components of EA.
| |
| − | * Interpret these correlations as '''physical Potentials within the Field''', not yet as physical Properties of InfoStructures.
| |
| − | * Potentials and InfoStructures are pattern of organized correlations of the inhomogeneities in the τ(σ) dynamism of the Field:
| |
| − | ** less organized → Potentials (Level 3),
| |
| − | ** more organized → InfoStructures (Level 4).
| |
| − |
| |
| − | ==== SUB-LEVEL 3.1 — Mass Potential (Metric) (from Perturbation) ====
| |
| − |
| |
| − | '''Conceptual Definition'''
| |
| − |
| |
| − | '''Mass potential (or Metric)''' is the physical content emerging from the '''Perturbation''' component of EA. It configures the Field's intrinsic tendency to accumulate '''intensity and curvature''' — a systematic alteration in the dynamism of the Field in the aspect of the amplitude of σ-fluctuations in their τ-distributions.
| |
| − |
| |
| − | It is '''Mass as a physical potential''': not the Mass of a Particle or of a Dark Halo, but the '''potential/energetic form – a deformation of the Metric - that corresponds to, and is produced by, the Mass of a massive InfoStructure (Vortex or Composite type)'''.
| |
| − |
| |
| − | Metric and Mass potential are '''two complementary descriptions of the same phenomenon''': a '''pattern of organized discrepancy''' in the amplitude of the dynamism of the Field.
| |
| − |
| |
| − | This form of Information/Energy appears as a '''weakly structured pattern of local discrepancy in the rhythm of the flow of physical Time (curvature of the Metric or Mass — two complementary perspectives on the same underlying alteration in the amplitude aspect of the pre-physical dynamism of the Elemental Field.
| |
| − |
| |
| − | '''Role in the Hierarchy'''
| |
| − |
| |
| − | Mass potential provides:
| |
| − | * the '''metric-like physical content''' of the Field,
| |
| − | * the '''precursor of gravitational behavior''',
| |
| − | * both the '''origin''' (the Field's turbulence that contributes to the formation of massive InfoStructures) and the '''product''' of Mass of InfoStructures (the Metric deformation, or Mass potential, "associated" to the effective Mass of an InfoStructure).
| |
| − |
| |
| − | '''Operational Guidelines'''
| |
| − |
| |
| − | * Compute Mass potential from the "statistical accumulation" of Perturbation.
| |
| − | * Treat it as '''Metric-content''' (Metric deformation), not as particle Mass.
| |
| − |
| |
| − | "Statistical configuration" refers to the emergence of a physical Potential from systematic deviations in the τ distribution of Elementary Events — not a temporal accumulation, but a configurational one.
| |
| − |
| |
| − | ==== SUB-LEVEL 3.2 — Motion Potential (Acceleration) (from Translation) ====
| |
| − |
| |
| − | '''Conceptual Definition'''
| |
| − |
| |
| − | Motion potential (or Acceleration) is the physical content emerging from the '''Translation''' component of EA. It configures the Field's intrinsic tendency toward '''directional asymmetry''', "acceleration".
| |
| − |
| |
| − | It is '''Motion as a physical Potential''' — the power to accelerate, of change the Motion of every organized pattern in the dynamism of the Field, not yet the inertial or the accelerated Motion of a structured InfoStructure, Wave, or Particle.
| |
| − |
| |
| − | '''Role in the Hierarchy'''
| |
| − |
| |
| − | Motion potential provides:
| |
| − | * the precursor of '''inertial and accelerated Motion''' and of the '''kinetic behavior''' of InfoStructures and Forms (objects, etc.),
| |
| − | * the foundation for '''effective Motion''' of InfoStructures,
| |
| − | * the energetic basis for '''dynamical quantities'''.
| |
| − |
| |
| − | '''Operational Guidelines'''
| |
| − |
| |
| − | * Compute Motion potential from the '''directional asymmetry''' of Translation.
| |
| − | * Treat it as '''motion-content''' — a source of variation of motion — not as velocity or momentum.
| |
| − |
| |
| − | ==== SUB-LEVEL 3.3 — Electric Potential (from Rotation:Chirality) ====
| |
| − |
| |
| − | '''Conceptual Definition'''
| |
| − |
| |
| − | Electric potential is the physical content emerging from the '''Rotation:Chirality''' component of EA. It configures the Field's intrinsic tendency toward '''chiral asymmetry'''.
| |
| − |
| |
| − | It is '''Charge as a physical Potential''' — not yet the electric Charge of a structured InfoStructure, not yet the Charge of a Particle.
| |
| − |
| |
| − | '''Role in the Hierarchy'''
| |
| − |
| |
| − | Electric potential provides:
| |
| − | * the precursor of '''electric behavior''',
| |
| − | * a weakly structured spatially diffuse manifestation of what produces '''electric Charge''' in InfoStructures,
| |
| − | * the energetic basis for '''electromagnetic asymmetry'''.
| |
| − |
| |
| − | '''Operational Guidelines'''
| |
| − |
| |
| − | * Compute Electric potential from the '''statistical chiral asymmetry'''.
| |
| − | * Treat it as '''electric content''' (polarization of the Field), not as electric Charge.
| |
| − |
| |
| − | ==== SUB-LEVEL 3.4 — Magnetic Potential (from Rotation:AxisOrientation) ====
| |
| − |
| |
| − | '''Conceptual Definition'''
| |
| − |
| |
| − | Magnetic potential is the physical content emerging from the '''Rotation:AxisOrientation''' component of EA. It configures the Field's intrinsic tendency toward intrinsic axial orientation asymmetry.
| |
| − |
| |
| − | It is '''Spin as a physical Potential'' — not yet the magnetic Spin of a structured InfoStructure, not yet the Spin of a Particle.
| |
| − |
| |
| − | '''Role in the Hierarchy'''
| |
| − |
| |
| − | Magnetic potential provides:
| |
| − | * the precursor of '''magnetic behavior''',
| |
| − | * the foundation for '''Spin''' in InfoStructures,
| |
| − | * the energetic basis for '''intrinsic vortical axial asymmetry'''.
| |
| − |
| |
| − | '''Operational Guidelines'''
| |
| − |
| |
| − | * Compute Magnetic potential from the '''statistical directional axial asymmetry'''.
| |
| − | * Treat it as '''magnetic content''' — a magnetization of the Field — not as magnetic Spin.
| |
| − |
| |
| − | === LEVEL 4 — InfoStructures (Waves, Vortices, Interactions) ===
| |
| − |
| |
| − | '''Conceptual Definition'''
| |
| − |
| |
| − | InfoStructures are '''the first true structured physical organizations of the pre-physical dynamism of the Elementary Field'''. They arise when the dynamism of the Field, manifesting in the four Modes of Elementary Action, organizes into coherent configurations of the Field (Wave-like, Vortex-like, Interaction-mediating).
| |
| − |
| |
| − | An InfoStructure is:
| |
| − | * a '''structured pattern''' of/within the Field's dynamism,
| |
| − | * a '''localized or extended organization''' of Information / Energy,
| |
| − | * the '''first individuable / individuated physical form''' in the Process of Formation of Reality.
| |
| − |
| |
| − | InfoStructures do '''not''' emerge from the Potentials; they emerge from the '''turbulent dynamics of the Field, which the Potentials describe'''. Once formed, they acquire their own physical identity and configure the Field around them, becoming '''sources of the corresponding Potentials'''.
| |
| − |
| |
| − | Two complementary families naturally arise:
| |
| − | * '''dark InfoStructures''' → structured but diffuse, low density, extended, non concentrated,
| |
| − | * '''ordinary InfoStructures''' → structured and concentrated, the precursors of particle-like entities.
| |
| − |
| |
| − | Both families share the same ontological root: they are '''structured organizations of the Field's informational / energetic content'''.
| |
| − |
| |
| − | '''Role in the Hierarchy'''
| |
| − |
| |
| − | Vortex-type and Interactions (Composite) InfoStructures provide a '''coherent manifestation of the four structured physical quantities:
| |
| − | * Mass,
| |
| − | * Effective Motion (inertial and accelerated Motion),
| |
| − | * Electric Charge,
| |
| − | * Magnetic Spin.
| |
| − |
| |
| − | Wave-type InfoStructures provide a '''coherent manifestation of only two structured physical quantities:
| |
| − | * Effective Motion (in the form of inertial Motion),
| |
| − | * Magnetic Spin (in the form of wave polarization).
| |
| − |
| |
| − | InfoStructures constitute:
| |
| − | * the '''bridge''' between unstructured physical content (Level 3) and effective physical Forms (Level 5),
| |
| − | * the '''structural basis''' for the internal equilibrium conditions (Level 4.4),
| |
| − | * the '''organizational templates''' from which Waves, Vortices, and Interaction patterns emerge, both in the dark/invisible and ordinary/visible sides,
| |
| − | * the '''first structures''' capable of configuring the Field and generating Potentials in their surroundings.
| |
| − |
| |
| − | Without InfoStructures, the transition from Information/Energy to physical Forms would be impossible.
| |
| − |
| |
| − | '''Operational Guidelines'''
| |
| − | * Construct InfoStructures '''exclusively''' from the four informational-energetic non-structured physical quantities corresponding to the Level 3 Potentials.
| |
| − | * Treat InfoStructures as '''dynamical organizations of the Field''', not as classical fields, and not as geometric objects.
| |
| − | * Maintain the '''distinction between''':
| |
| − | ** '''dark InfoStructures''' → diffuse, extended, low‑density,
| |
| − | ** '''ordinary InfoStructures''' → concentrated, high‑density.
| |
| − | * Identify three primary families of organization:
| |
| − | ** '''Wave-like InfoStructures'''
| |
| − | ** '''Vortex-like InfoStructures'''
| |
| − | ** '''Interaction-mediating InfoStructures'''
| |
| − | * Avoid introducing spacetime geometry, curvature, or metric structure: these appear only as '''Potentials''' configured by InfoStructures, not as geometric entities.
| |
| − |
| |
| − | ==== SUB-LEVEL 4.1 — Wave-Like InfoStructures ====
| |
| − |
| |
| − | '''Conceptual Definition'''
| |
| − |
| |
| − | Wave like InfoStructures are '''structured organizations of the pre-physical dynamism''' of the Elementary Field that '''configure''' coherent oscillatory patterns. Ontologically, they are '''not''' waves in spacetime, '''not''' geometric oscillations, and not classical field modes. They are '''organized dynamical patterns of Information / Energy within the Field itself'''.
| |
| − |
| |
| − | These configurations arise when the dynamical content described at Level 3 becomes structured into forms that assume '''single cycle''' or '''multi cycle''' wave like organizations. They are '''patterns of correlation''' among the Modes of Elementary Action:
| |
| − | * '''Translation''' → giving rise to the Property and Behavior called '''Effective Motion''' (Inertial Motion, Inertia) -> linear momentum.
| |
| − | * '''Rotation:AxisOrientation''' → the wave‑type manifestation of '''Spin''', expressed as '''polarization''' -> angular momentum.
| |
| − |
| |
| − | Oscillatory forms may be:
| |
| − | * '''diffuse and extended''' (dark wave-like InfoStructures → gravitational waves),
| |
| − | * '''localized and concentrated''' (ordinary wave-like InfoStructures → electromagnetic waves).
| |
| − |
| |
| − | In both cases, the oscillation is a pattern of the Field's own dynamism — something that propagates "within" the Field — not a propagation through a pre-given geometric medium.
| |
| − |
| |
| − | '''Role in the Hierarchy'''
| |
| − |
| |
| − | Wave-like InfoStructures provide:
| |
| − | * the '''first organized''' (physical, manifest, structured) form of propagation within the Field,
| |
| − | * the '''pre-geometric precursor''' of wavefunctions and field oscillations,
| |
| − | * the '''oscillatory templates''' from which quantum-like behavior will later be represented.
| |
| − |
| |
| − | They are the '''first way''' in which the Field '''manifests''' its own dynamism in oscillatory form.
| |
| − |
| |
| − | '''Operational Guidelines'''
| |
| − |
| |
| − | * Construct Wave-like InfoStructures from the '''EA Modes Translation and Rotation:AxisOrientation'''
| |
| − | * Derive the fundamental quantities Effective Motion and polarization (the wave counterpart of Spin)
| |
| − | * Treat them as '''oscillatory organizations of the Field''', not as waves in spacetime.
| |
| − | * Maintain the '''distinction''' between:
| |
| − | ** '''dark wave like InfoStructures''' → diffuse, extended, low density oscillatory patterns,
| |
| − | ** '''ordinary wave like InfoStructures''' → concentrated oscillatory patterns.
| |
| − | * Do not introduce geometry, metric, or spacetime propagation: these may describe the phenomenon phenomenologically, but ontologically the dynamics '''must be formulated in terms of Elementary Action'''.
| |
| − | * Identify '''oscillatory coherence''' as the defining feature. In the case of '''single-cycle waves''', the originating phenomenon is '''not periodic''': these are '''single events''' that may repeat in phase while still remaining single events (e.g., the motion of an electron within the electronic cloud across different energy levels).
| |
| − |
| |
| − | ==== SUB-LEVEL 4.2 — Vortex-Like InfoStructures ====
| |
| − |
| |
| − | '''Conceptual Definition'''
| |
| − |
| |
| − | Wave like InfoStructures are '''structured organizations of the pre-physical dynamism''' of the Elementary Field that '''configure vortical patterns'''. Ontologically, they are '''not''' vortices in spacetime, '''not''' geometric structures (point-like or spatially extended), and '''not''' classical field organizations. Like Waves-like InfoStructures—despite their profoundly different shape and dynamical behavior—they are '''organized dynamical patterns of Information/Energy within the Field itself'''.
| |
| − |
| |
| − | These configurations arise when the dynamical content described at Level 3 becomes structured into forms that assume vortex like organizations. They are patterns of correlation among the four Modes of Elementary Action:
| |
| − | * '''Perturbation''' → giving rise to the Fundamental Physical Quantity called Mass -> deformation of the local Metric (time flow rate)
| |
| − | * '''Translation''' → giving rise to Effective Motion (Inertia) → linear momentum
| |
| − | * '''Rotation:Chirality → giving rise to electric Charge → chirality of vorticity
| |
| − | * '''Rotation:AxisOrientation''' → giving rise to magnetic Spin → angular momentum
| |
| − |
| |
| − | Vortex InfoStructures may be:
| |
| − | * diffuse and extended (dark vortex-like InfoStructures),
| |
| − | * localized and concentrated (ordinary vortex-like InfoStructures).
| |
| − | In both cases, '''Rotation is an intrinsic pattern of the Field's own dynamism''', not a motion through a geometric background.
| |
| − |
| |
| − | '''Role in the Hierarchy'''
| |
| − | Vortex-like InfoStructures provide:
| |
| − | * the '''first organized''' (physical, manifest, structured) form of '''conservation''' within the Field,
| |
| − | * the '''pre-geometric precursor''' of halos and particles,
| |
| − | * the '''vortical templates''' from which quantum-like behavior will later be represented in particles‑like entities.
| |
| − | They are the '''first way''' in which the Field configures its dynamism into vortical form.
| |
| − |
| |
| − | '''Operational Guidelines'''
| |
| − |
| |
| − | * Treat Vortex‑like InfoStructures as '''vortical organizations of the Field's dynamism''', not as classical vortices.
| |
| − | * Construct them from all four EA Modes: '''Perturbation, Translation, Rotation:Chirality and Rotation:AxisOrientation'''
| |
| − | * Derive the four fundamental structured quantities: '''Mass, Effective Motion, Charge and Spin'''
| |
| − | * Treat them as '''vortical organizations of the Field''', not as particles in spacetime.
| |
| − | * Maintain the '''distinction''' between:
| |
| − | ** '''dark vortex-like InfoStructures''' → diffuse, extended, low density vortical patterns (dark halos),
| |
| − | ** '''ordinary vortex-like InfoStructures''' → concentrated vortical patterns (ordinary matter particles).
| |
| − | * Do not introduce geometry, metric, or spacetime conservation: these may describe the phenomenon phenomenologically, but ontologically the dynamics must be formulated in terms of '''Elementary Action'''.
| |
| − | * Identify '''vortical coherence''' as the defining feature: the Field '''manifests intrinsic rotation''' through the structured interplay of Spin and Charge, with Mass, the stabilizing fulcrum and Motion conferring dynamical behavior.
| |
| − |
| |
| − | ==== SUB-LEVEL 4.3 — Interaction-Mediating InfoStructures ====
| |
| − |
| |
| − | '''Conceptual Definition'''
| |
| − |
| |
| − | Interaction‑mediating InfoStructures are structured physical organizations of the pre‑physical dynamism of the Elementary Field in which wave‑like and vortex‑like patterns configure relational coherence. They do '''not''' "transmit" forces, do '''not''' act as carriers, and do '''not''' propagate interactions through a geometric medium. They are '''relational organizations of structured Information/Energy''' through which different InfoStructures '''interact and influence one another'''.
| |
| − |
| |
| − | These structures do not "carry" forces; they are the '''dynamical patterns''' through which different InfoStructures '''mutually influence''' each other.
| |
| − |
| |
| − | These configurations arise when '''Perturbation, Translation and Rotation patterns''' (Mass, Effective Motion, Charge and Spin) become '''mutually correlated''', giving rise to:
| |
| − | * '''diffuse relational patterns''' (dark interaction-mediating InfoStructures, such as dark-web components),
| |
| − | * '''localized relational patterns''' (ordinary interaction-mediating InfoStructures, such as composite particles: hadrons).
| |
| − | In both cases, '''Interaction is not a force acting between entities''', but a '''coherent relational pattern within the Field'''.
| |
| − |
| |
| − | '''Role in the Hierarchy'''
| |
| − |
| |
| − | Interaction‑mediating InfoStructures provide:
| |
| − | * a '''more complex organized form''' (physical, manifest, structured) within the Field,
| |
| − | * the '''pre-geometric precursor''' of dark-cosmic-web components and composite particles,
| |
| − | * the '''pre-geometric precursor''' of couplings, interaction channels, and gauge-like behavior,
| |
| − | * the '''multi-vortical templates''' from which complex quantum-like behavior will later be represented in composite particles.
| |
| − | They are the Field's more complex way of configuring its dynamism into relational vortical form.
| |
| − |
| |
| − | '''Operational Guidelines'''
| |
| − |
| |
| − | * Treat Interaction‑mediating InfoStructures as '''multi-vortical organizations''' of the Field's dynamism, not as classical vortices.
| |
| − | * Construct them from '''couplings between vortex-like patterns''', optionally including wave‑like structures as mediators.
| |
| − | * Derive the fundamental structured quantities: '''Mass, Effective Motion, Charge and Spin''' (a notoriously difficult task, as QFT / SM theorists can attest).
| |
| − | * Treat them as '''multi-relational organizations''', not as force carriers or spacetime mediators.
| |
| − | * Maintain the '''distinction''' between:
| |
| − | ** '''dark interaction-mediating InfoStructures''' → diffuse, extended relational composite patterns,
| |
| − | ** '''ordinary interaction-mediating InfoStructures''' → concentrated relational composite patterns.
| |
| − |
| |
| − | ==== SUB-LEVEL 4.4 — Equilibrium Equations (Internal Conditions of Coherence) ====
| |
| − |
| |
| − | '''Conceptual Definition'''
| |
| − |
| |
| − | -----
| |
| − |
| |
| − | Equilibrium Equations are the '''internal conditions of coherence''' that govern the Existence and the Essence/Form of InfoStructures. They do '''not''' introduce new content or new levels of Reality. They are the '''mathematical manifestation''' of the Field's intrinsic requirement for coherent organization.
| |
| − |
| |
| − | An InfoStructure exists '''only insofar as''' it satisfies its corresponding equilibrium condition — the condition that defines its '''shape, properties, behaviors, and dynamical tendencies'''.
| |
| − |
| |
| − | While InfoStructures are '''organized configurations of Information/Energy''', the Equilibrium Equations express the '''dynamical constraints''' that such configurations must satisfy in order to '''persist, to conserve, and propagate''' through Time. An InfoStructure is '''not''' something that exists and then satisfies an equation. An InfoStructure '''is''' the Field in a configuration that satisfies its equilibrium condition.
| |
| − |
| |
| − | These equations express:
| |
| − | * the '''internal balance''' among the structured quantities (Mass, Effective Motion, Charge, Spin),
| |
| − | * the '''coherence''' of oscillatory, vortical, or relational patterns,
| |
| − | * the '''compatibility''' of the Field's dynamism with the form the InfoStructure manifests,
| |
| − | * the way in which Structures '''configure'' Potentials in the Field and respond to the Potentials present within the Field.
| |
| − |
| |
| − | They are pre-geometric and pre-spatiotemporal. They do not describe evolutions in time: they describe '''conditions of form''' — expressed in terms of '''Elementary Action''', defining how Structures manifest within the physical environment later represented through derived constructs such as spacetime, electric field, magnetic field, and so on.
| |
| − |
| |
| − | '''Role in the Hierarchy'''
| |
| − |
| |
| − | Equilibrium Equations play a foundational role within Level 4. They provide:
| |
| − | * the '''internal law''' governing the formation, persistence, and dissolution of InfoStructures,
| |
| − | * the '''dynamical constraints''' determining the possible forms of Waves, Vortices, and Interaction patterns,
| |
| − | * the '''structural basis''' from which quantum-like and field-theoretic equations (Levels 5–6) emerge,
| |
| − | * the '''mathematical bridge''' between pre-geometric organization and effective physical equations.
| |
| − |
| |
| − | They do not come "after" InfoStructures; they are the '''condition for their existence''' — the very condition by which an organization of the Field can '''manifest as an InfoStructure'''.
| |
| − |
| |
| − | '''Operational Guidelines'''
| |
| − |
| |
| − | * Derive Equilibrium Equations '''exclusively''' from the internal dynamics of the InfoStructure.
| |
| − | * Do '''not''' introduce external forces, potentials, or spacetime geometry.
| |
| − | * Treat the equations as '''conditions of internal coherence''', not as dynamical laws imposed from the outside.
| |
| − | * Distinguish three families of conditions:
| |
| − | ** Wave-like InfoStructures → oscillatory equilibrium conditions,
| |
| − | ** Vortex-like InfoStructures → vortical equilibrium conditions,
| |
| − | ** Interaction-mediating InfoStructures → coupling/relational equilibrium conditions.
| |
| − | * Use these equations to determine:
| |
| − | ** '''domains of coherence''',
| |
| − | ** '''allowed configurations''',
| |
| − | ** '''internal symmetries''',
| |
| − | ** '''emergent conservation tendencies'''.
| |
| − | * Maintain the '''distinction''' between:
| |
| − | ** '''dark equilibrium patterns''' → diffuse, extended coherence conditions,
| |
| − | ** '''ordinary equilibrium patterns''' → concentrated coherence conditions.
| |
| − |
| |
| − | Equilibrium Equations are therefore the '''mathematical core of Level 4''' — the internal law that shapes the form and essence of InfoStructures.
| |
| − |
| |
| − | ==== SUB-LEVEL 4.5 — Proto-Physical Equations (Emergent Effective Equations) ====
| |
| − |
| |
| − | '''Conceptual Definition'''
| |
| − |
| |
| − | Proto Physical Equations are the '''effective mathematical expressions''' that emerge when the Equilibrium Equations are reorganized into a more compact, operational, and structurally recognizable form. They do '''not''' introduce new content, new forces, or new levels of Reality. They are the '''effective reformulation''' of the internal coherence conditions that define wave like, vortex like, and interaction mediating InfoStructures.
| |
| − |
| |
| − | While the Equilibrium Equations express the internal balance that an InfoStructure must satisfy to manifest as a coherent configuration of the Field, the Proto Physical Equations express the same coherence in a form that anticipates the structure of familiar physical relations — oscillatory, vortical, and relational — without yet invoking geometry, spacetime, or quantization.
| |
| − |
| |
| − | They are '''pre-geometric, pre-quantum, and pre-spacetime''': they describe '''relations of form''', not evolution in time or propagation in space.
| |
| − |
| |
| − | '''Role in the Hierarchy'''
| |
| − |
| |
| − | Proto Physical Equations provide:
| |
| − | * the '''first effective mathematical description''' of the internal dynamics of InfoStructures,
| |
| − | * the '''structural seeds''' of wave like, vortex like, and interaction like behavior,
| |
| − | * the '''bridge''' between internal coherence (previous sub-level) and effective physical representations (next levels),
| |
| − | * the '''pre-geometric precursors''' of wave equations, vortex like relations, and interaction like couplings.
| |
| − |
| |
| − | They are not physical laws: they are the '''effective form''' of the Field's coherence conditions when it organizes itself into InfoStructures.
| |
| − |
| |
| − | '''Operational Guidelines'''
| |
| − |
| |
| − | * Derive Proto Physical Equations '''exclusively''' from the Equilibrium Equations of Level 4.4
| |
| − | * Do '''not''' introduce geometry, metric, spacetime, or quantization.
| |
| − | * '''Identify three families of effective relations''':
| |
| − | ** '''proto-wave equations''' → arising from the oscillatory coherence of wave like InfoStructures,
| |
| − | ** '''proto-vortex equations''' → arising from the vortical coherence of vortex like InfoStructures,
| |
| − | ** '''proto-interaction equations''' → arising from the relational coherence of interaction mediating InfoStructures.
| |
| − | * '''Maintain the distinction between''':
| |
| − | ** '''dark proto equations''' → diffuse, extended effective relations,
| |
| − | ** '''ordinary proto equations''' → concentrated effective relations.
| |
| − | * Treat these equations as relations of form, not as temporal dynamics or propagation laws.
| |
| − |
| |
| − | '''Proto Physical Equations''' are therefore the first effective mathematical form of Level 4: the operational translation of the Field's internal conditions of coherence at the base of the different shapes of the InfoStructures (Wave, Vortex, Interaction).
| |
| − |
| |
| − | ==== SUB-LEVEL 4.5.1 — Proto-Wave Equations ====
| |
| − |
| |
| − | '''Conceptual Definition'''
| |
| − |
| |
| − | Proto Wave Equations are the '''effective mathematical relations''' that arise when the oscillatory Equilibrium Conditions of wave like InfoStructures are expressed in compact form. They describe the '''coherent oscillatory organization''' of the Field's structured quantities:
| |
| − | * '''Effective Motion''' (correlation of Translation EA Mode, inertia, linear momentum, wave impulse)
| |
| − | * '''Magnetic Spin (wave version)''' (correlation of Rotation:AxisOrientation, angular momentum, wave polarization),
| |
| − | without invoking geometry, spacetime, or temporal evolution.
| |
| − |
| |
| − | These equations do '''not''' represent waves propagating in space or oscillations in time. They represent oscillatory form, the intrinsic coherence of the Field when it manifests a Wave-type InfoStructure.
| |
| − |
| |
| − | '''Operational Guidelines'''
| |
| − |
| |
| − | * Derive Proto Wave Equations exclusively from the '''oscillatory equilibrium conditions''' of wave like InfoStructures.
| |
| − | * Treat them as '''pre-geometric oscillatory relations''', not as wave equations in spacetime.
| |
| − | * Maintain the distinction between:
| |
| − | ** '''dark proto wave relations''' → oscillatory coherence in diffuse, extended patterns,
| |
| − | ** '''ordinary proto wave relations''' → oscillatory coherence in concentrated patterns.
| |
| − | * Do not introduce frequency, wavelength, or propagation speed: these appear only after geometric projection (4.6).
| |
| − |
| |
| − | Proto Wave Equations are the effective form of the Field's oscillatory coherence.
| |
| − |
| |
| − | ==== SUB-LEVEL 4.5.2 — Proto-Vortex Equations ====
| |
| − |
| |
| − | '''Conceptual Definition'''
| |
| − |
| |
| − | Proto Vortex Equations are the effective mathematical relations that arise when the vortical Equilibrium Conditions of vortex like InfoStructures are expressed in compact form. They describe the coherent vortical organization of the Field's structured quantities:
| |
| − | * '''Mass (Effective Metrics)''' (correlation of Perturbation EA Mode, Mass density, inhomogeneity in the local rate of the flow of Time, inhomogeneity in the local velocity of Causality, Action, Information, inhomogeneity in the temperature of the Elementary Field, deformation of the local Metric of the Field),
| |
| − | * '''Effective Motion''' (correlation of Translation EA Mode, inertia, linear momentum, vortex kinetic Energy),
| |
| − | * '''Electric Charge''' (correlation of Rotation:Chirality, chirality of the Vortex),
| |
| − | * '''Magnetic Spin (vortex version)''' (correlation of Rotation:AxisOrientation, angular momentum, spatial orientation of the axis of vorticity),
| |
| − | without invoking geometry, spacetime, or temporal evolution.
| |
| − |
| |
| − | These equations do not represent physical vortices, nor spatial rotations, nor geometric angular momenta. They represent the '''vortical form''', the internal coherence of the Field when it manifests a vortical InfoStructure.
| |
| − |
| |
| − | '''Operational Guidelines'''
| |
| − |
| |
| − | * Derive Proto Vortex Equations exclusively from the '''vortical equilibrium conditions''' of vortex like InfoStructures.
| |
| − | * Treat them as '''pre-geometric vortical relations''', not as classical vortex equations.
| |
| − | * Maintain the distinction between:
| |
| − | ** '''dark proto vortex relations''' → vortical coherence in diffuse, extended patterns,
| |
| − | ** '''ordinary proto vortex relations''' → vortical coherence in concentrated patterns.
| |
| − | * Do not introduce angular momentum, chirality, circulation, or geometric/dynamic spin: these emerge only after the geometric projection (4.6).
| |
| − |
| |
| − | Proto Vortex Equations are the '''effective form''' of the Field's vortical coherence.
| |
| − |
| |
| − | ==== SUB-LEVEL 4.5.3 — Proto-Interaction Equations ====
| |
| − |
| |
| − | '''Conceptual Definition'''
| |
| − |
| |
| − | Proto Interaction Equations are the '''effective mathematical relations''' that arise when the relational Equilibrium Conditions of interaction mediating InfoStructures are expressed in compact form. They describe the '''coherent relational organization''' of the Field when oscillatory and vortical patterns become '''mutually correlated'''.
| |
| − |
| |
| − | They do not represent forces, do not describe exchanges, and do not introduce mediating fields. They represent the '''relational form''', the internal coherence of the Field when different InfoStructures mutually influence the organization of one another.
| |
| − |
| |
| − | '''Operational Guidelines'''
| |
| − | * Derive Proto Interaction Equations exclusively from the '''relational equilibrium conditions''' of interaction mediating InfoStructures (composite InfoStructures).
| |
| − | * Treat them as '''pre-geometric relational constraints''', not as force laws or coupling terms.
| |
| − | * Maintain the distinction between:
| |
| − | ** dark proto interaction relations → relational coherence in diffuse, extended patterns,
| |
| − | ** ordinary proto interaction relations → relational coherence in concentrated patterns.
| |
| − | * Do not introduce coupling constants, gauge fields, or interaction strengths: these emerge only after the geometric projection (4.6).
| |
| − |
| |
| − | Proto Interaction Equations are the '''effective form''' of the Field's relational coherence.
| |
| − |
| |
| − | ==== SUB-LEVEL 4.6 — Emergence of QM/QFT Equations (Geometric / Quantum Projection of Field Structures) ====
| |
| − |
| |
| − | '''Conceptual Definition'''
| |
| − |
| |
| − | The equations of Quantum Mechanics and Quantum Field Theory emerge when the '''internal coherence''' of InfoStructures — expressed through the Proto Physical Equations (4.5) — is '''projected into geometric and algebraic representation spaces''' — including Hilbert space for quantum representation.
| |
| − | This projection does '''not''' introduce new entities, new forces, or new levels of Reality. It provides a '''geometric and algebraic representation''' of the Field's internal organization.
| |
| − | * The Field '''manifests''' structured dynamisms (Level 4).
| |
| − | * Mathematics '''represents''' these dynamisms through geometric, algebraic, and symmetry based formalisms (QM/QFT).
| |
| − | QM/QFT equations are therefore '''representational shadows''' of the Field's intrinsic coherence, not fundamental ontological laws.
| |
| − | They describe how the internal forms of oscillation, vortical form, and relational coherence '''appear''' when expressed in:
| |
| − | * geometric spaces (spacetime),
| |
| − | * algebraic spaces (Hilbert space),
| |
| − | * symmetry spaces (gauge groups).
| |
| − |
| |
| − | '''Role in the Hierarchy'''
| |
| − |
| |
| − | This sub level provides:
| |
| − | * the '''geometric representation''' of wave like, vortex like, and interaction mediating InfoStructures,
| |
| − | * the '''emergence''' of effective equations such as Schrödinger, Dirac, Klein Gordon, Maxwell, and Yang Mills,
| |
| − | * the '''mathematical bridge''' between the Field's internal coherence and '''the observable''' behavior of physical systems,
| |
| − | * the '''formal language''' through which InfoStructures become experimentally accessible.
| |
| − |
| |
| − | QM/QFT equations do '''not''' describe the Field itself. They describe how the Field's internal forms '''appear''' when expressed in geometric and algebraic terms.
| |
| − |
| |
| − | '''Operational Guidelines'''
| |
| − |
| |
| − | * Derive QM/QFT equations by '''projecting''' Proto Physical Equations (4.5) into:
| |
| − | ** '''geometric spaces''' (spacetime),
| |
| − | ** '''algebraic spaces''' (Hilbert space),
| |
| − | ** '''symmetry spaces''' (gauge groups).
| |
| − | * Treat these equations as '''effective representations''', not as ontological primitives.
| |
| − | * Maintain the distinction between:
| |
| − | ** '''internal dynamics''' (Level 4),
| |
| − | ** '''geometric representation''' (Sub Level 4.6).
| |
| − | * Identify the three main families of emergent equations:
| |
| − | ** '''wave equations''' ← geometric projection of wave like InfoStructures,
| |
| − | ** '''spinor equations''' ← geometric projection of vortex like InfoStructures,
| |
| − | ** '''gauge equations''' ← geometric projection of interaction mediating InfoStructures.
| |
| − | * Do not introduce geometry or quantization at Level 4: these appear '''only''' at the representational stage.
| |
| − |
| |
| − | QM/QFT equations are thus the '''final representational expression''' of Level 4 — the geometric and algebraic appearance of the Field's internal coherence.
| |
| − |
| |
| − | ''' Notes on Gravity, Quantum Theory, and the Search for a Third Way'''
| |
| − |
| |
| − | We should not call photons particles. And perhaps not even the other bosons, including those with Mass (where the situation becomes even more confusing). Photons are '''Single Cycle Waves''', therefore “Waves”, constituting Ordinary (visible) Radiation — not Matter Particles like Vortices and the Composite InfoStructures resulting from Vortex interactions.
| |
| − |
| |
| − | Bringing gravity and quantum theory together is one of the most demanding and difficult tasks physics has ever faced. Some believe gravity must be quantized; others think quantum physics must be “gravitized.” I prefer to think that a different path is needed: that both theoretical worlds (GR and QM/QFT/SMP) are incomplete, mistaken in some aspects, and certainly in their interpretations. In my view, we must go deeper, to uncover the Fundamental Nature of Reality; to identify the dynamical and structural basis underlying Metric of Space time, Mass, and the other Fundamental Physical Quantities (Motion, Charge and Spin) that characterize InfoStructures (Waves, Vortices, Interactions) in both the ordinary/visible sector (EM waves and particles of Ordinary Matter) and the dark/invisible sector (GW waves and halos of Dark Matter). A third way, therefore.
| |
| − |
| |
| − | In my view, it is not true that one can determine with infinite precision the distance between two classical objects. This is an illusion, arising from several factors:
| |
| − | * '''dimensional''': classical objects, even the smallest ones, are immensely larger than quantum objects and especially than their uncertainty margins;
| |
| − | * '''perspectival''': classical objects, by their nature and size, are observed and measured from considerable distances, whereas the quantum effects that make the quantum world so “weird” occur at much smaller scales;
| |
| − | * '''mediative and compensatory''': in classical systems — always composed of a large number of quantum objects — the individual quantum contributions average out and compensate each other, reducing their relevance and observability.
| |
| − |
| |
| − | === LEVEL 5 — Forms (Composite Physical Structures) ===
| |
| − |
| |
| − | '''Conceptual Definition'''
| |
| − |
| |
| − | Forms are '''composite physical organizations''' arising from the coupling of multiple InfoStructures.
| |
| − |
| |
| − | While Level 4 describes the '''elementary structured dynamisms''' of the Field (wave like, vortex like, relational interactions), Level 5 describes how these dynamisms '''combine into composite structures''' — atoms, molecules, materials, cells, organisms, planets, stars, galaxies — the familiar architectures of the physical world.
| |
| − |
| |
| − | Forms are not new ontological entities. They are '''multi scale organizations of InfoStructures''', dynamically stabilized around characteristic attractors.
| |
| − |
| |
| − | '''Dynamism Expressing Structure'''
| |
| − |
| |
| − | I recall that, as with InfoStructures, what we perceive as structure in Forms — whether more or less persistent — is in fact '''dynamism''' (the dynamism of the Elementary Field, Events organized by Relations) that organizes itself stochastically around a '''form attractor''', a sufficiently stable dynamic process, though in ceaseless variation around a characteristic variational trajectory of the type of InfoStructure or Form we are observing.
| |
| − |
| |
| − | We see the Structure (e.g., the particle, the atom, etc.), but what truly exists and evolves is a '''dynamic Process''' which, in its incessant unfolding, expresses structure — the '''Essence / Form''' of what we observe.
| |
| − |
| |
| − | We observe an electron and assume it is an electron like all the others, all identical. From the standpoint of the Properties and Behavior of the Structure, this is correct; yet the dynamic Process that enables its Existence and the Essence / Form we perceive is '''unique and in continuous formation''', like all of Reality.
| |
| − |
| |
| − | Nothing is stable, certain, eternal, or immutable. Even the Forms that appear most stable (e.g., an Egyptian pyramid), when observed across sufficiently large temporal extensions and sufficiently small spatial scales, reveal themselves to be in incessant mutation.
| |
| − |
| |
| − | Descending through dimensional scales, toward the most elementary levels of Reality, we would see a teeming of ceaseless activity, down to Elementary Action — the Events we can characterize as pre-spatial fluctuations that shake the Elementary Field under the incessant Action of the Fundamental Force.
| |
| − |
| |
| − | '''Dynamism and structure are two faces of the same coin''', two fundamental perspectives. The first, which we cannot directly observe, focuses on '''Action'''; the second, which we do observe, focuses on '''Information / Energy, structure, InfoStructures, Forms'''.
| |
| − |
| |
| − | '''Role in the Hierarchy'''
| |
| − |
| |
| − | Forms provide:
| |
| − | * the '''first composite organizations''' of structured physical quantities,
| |
| − | * the '''multi scale architectures''' underlying Matter, Life, and cosmic structure,
| |
| − | * the '''bridge''' between Elementary Field organization (Level 4) and the domains studied by the natural sciences,
| |
| − | * the '''context''' in which conventional physical laws (thermodynamics, chemistry, biology, astrophysics) apply.
| |
| − |
| |
| − | Level 5 is therefore the point where the Process of Formation of Physical Reality becomes '''scientifically familiar'''.
| |
| − |
| |
| − | '''Operational Guidelines'''
| |
| − |
| |
| − | * Construct Forms exclusively from '''coupled InfoStructures'''.
| |
| − | * Do not introduce new fundamental forces or entities.
| |
| − | * Treat Forms as '''emergent composite multi-scale organizations''.
| |
| − | * Recognize '''three broad families''', corresponding to established scientific domains:
| |
| − | ** '''atomic and molecular Forms''' (chemistry, materials science),
| |
| − | ** '''mesoscopic and biological Forms''' (biology, physiology, ecology),
| |
| − | ** '''astrophysical and cosmological Forms''' (astronomy, astrophysics, cosmology).
| |
| − |
| |
| − | ==== SUB-LEVEL 5.1 — Atomic and Molecular Forms ====
| |
| − |
| |
| − | Atomic and molecular Forms arise from the organization of (essentially) vortex/particle like InfoStructures into (more or less) persistent composite units. They constitute the domain of '''chemistry and materials science''', which already provides the detailed models of bonding, structure, and interaction.
| |
| − |
| |
| − | ==== SUB-LEVEL 5.2 — Mesoscopic and Biological Forms ====
| |
| − |
| |
| − | Mesoscopic and biological Forms arise from the organization of molecular Forms into composite structures and, at higher thresholds, into living systems.
| |
| − |
| |
| − | Mesoscopic Forms include inorganic and organic assemblies that exhibit stability and organized complexity without yet being alive.
| |
| − |
| |
| − | Biological Forms emerge when mesoscopic organization attains living functionality, giving rise to metabolism, replication, and adaptive behavior.
| |
| − |
| |
| − | This corresponds to the domains of '''mesoscopic physics, pre-biotic organization, and the biological sciences''', which already provide detailed models of structure, function, and interaction.
| |
| − |
| |
| − | ==== SUB-LEVEL 5.3 — Astrophysical and Cosmological Forms ====
| |
| − |
| |
| − | Astrophysical and cosmological Forms arise from the large scale organization of InfoStructures into '''gravitationally and dynamically coherent systems'''.
| |
| − |
| |
| − | These Forms include stars, planetary systems, galaxies, clusters, and cosmic filaments, which constitute the macroscopic architecture of the universe.
| |
| − |
| |
| − | This corresponds to '''astronomy, astrophysics, and cosmology''', which already provide detailed models of structure, evolution, and interaction at cosmic scales.
| |
| − |
| |
| − | ==== Transversal Perspectives on Forms ====
| |
| − | <include the original text unchanged>
| |
| − |
| |
| − | == Diagram of the Hierarchy of Reality ==
| |
| − |
| |
| − | This hierarchy serves as the conceptual map of the entire section and guides the reader through the subsequent levels.
| |
| − |
| |
| − |
| |
| − | [[File:Formalization_Levels.png|420px|thumb|center|Diagram of the Hierarchy of Reality - Formalization Levels]]
| |
| − |
| |
| − | <br>
| |
| − |
| |
| − | == Epistemic Representation and Scientific Frameworks ==
| |
| − |
| |
| − | Although the hierarchy of Levels 0–5 describes the ontological structure of Reality, '''any scientific theory must also address the epistemic dimension''': the way human observers represent, model, and interpret these levels. This epistemic layer is not an additional ontological level of Reality, but a meta-level that organizes our knowledge of the underlying physical structure.
| |
| − |
| |
| − | Scientific theories, mathematical formalisms, and conceptual frameworks belong to this epistemic domain. '''They provide the languages, tools, and symbolic structures''' through which the ontological hierarchy becomes intelligible and analytically tractable.
| |
| − |
| |
| − | === Scientific Theories as Epistemic Layers ===
| |
| − |
| |
| − | '''Modern physics is composed of multiple theoretical frameworks''' — SR, GR, QM, QFT, SMP, thermodynamics, statistical mechanics — each describing a specific domain of emergent structure. These theories are extraordinarily powerful, yet each capture only a portion of the deeper ontological continuum.
| |
| − |
| |
| − | Within the present framework, these theories are understood as '''effective epistemic layers''':
| |
| − | * they approximate the behavior of Forms and InfoStructures,
| |
| − | * they operate within specific domains of validity,
| |
| − | * they provide partial but indispensable representations of the emergent manifestations of the underlying Field dynamics.
| |
| − |
| |
| − | === Mathematical and Conceptual Models ===
| |
| − |
| |
| − | '''Mathematical models''' — differential equations, geometric structures, algebraic formalisms, probabilistic frameworks — are '''representational instruments'''. They do not constitute Reality; rather, they express specific aspects of its organization. As such, they are '''cognitive constructions belonging to the domain of Cognitive Reality''' (or Meta-Reality).
| |
| − |
| |
| − | '''Conceptual frameworks''' — ontologies, taxonomies, diagrams, symbolic systems — provide '''interpretative structures''' that articulate relations among the different levels of the hierarchy. They operate at the epistemic level and do not form part of the ontological structure of Reality itself.
| |
| − |
| |
| − | === Role of the Epistemic Layer ===
| |
| − |
| |
| − | The epistemic layer:
| |
| − | * organizes scientific knowledge,
| |
| − | * mediates between observation and ontology,
| |
| − | * clarifies the domain of validity of each theory,
| |
| − | * supports the construction of a unified multilevel formalization.
| |
| − |
| |
| − | It is therefore '''a necessary complement to the ontological hierarchy''', even though it does not constitute an ontological level in itself.
| |
| − |
| |
| − | == Synthetic Pathway from the Source to Forms ==
| |
| − |
| |
| − | This subsection provides '''a synthetic overview of the conceptual structures''' associated with each level of the Process of Formation of Physical Reality. It does not introduce new content; rather, it '''organizes the ontological architecture developed above''' into a unified pathway from the Source to Forms, offering the reader a clear conceptual map that supports the detailed treatments presented in the preceding sections and prepares the ground for the proto mathematical map that follows.
| |
| − |
| |
| − | === 0 — SOURCE (Ontological Origin) ===
| |
| − | * A pre-physical, non measurable entity.
| |
| − | * It expresses its Agency in two modes:
| |
| − | ** '''Direct (creative)''' → generates the Fundamental Force.
| |
| − | ** '''Indirect (evolutionary)''' → operates through the Elementary Field.
| |
| − | * The Source is the ontological engine of the entire process.
| |
| − |
| |
| − | <blockquote>
| |
| − | ==== 0.1 — FUNDAMENTAL FORCE (Causal Impulse) ====
| |
| − | * The first physical act of the Source.
| |
| − | * A '''pure scalar impulse''', without direction or internal structure.
| |
| − | * It is the only causal input of the model.
| |
| − |
| |
| − | ==== 0.2 — ELEMENTARY FIELD (Variational Response) ====
| |
| − | * A continuous, pre-spatial and pre-temporal substrate.
| |
| − | * It possesses four intrinsic resistances to variation:
| |
| − | ** '''k_A, k_n''' → proto stress sector
| |
| − | ** '''k_χ, k_u''' → proto vorticity sector
| |
| − | * The Force perturbs the Field → the Field responds → dynamism emerges.
| |
| − |
| |
| − | ==== 0.3 — FORCE–FIELD INTERACTION ====
| |
| − | * The Force acts.
| |
| − | * The Field reacts according to its resistances.
| |
| − | * This interaction generates the '''first local fluctuations'''.
| |
| − | * The '''Elementary Events (EE)''' arise.
| |
| − |
| |
| − | ==== 0.4 — EVENT-POINT (Analytical Operator) ====
| |
| − | * Not a physical entity.
| |
| − | * It serves to sample the local fluctuation of the Field.
| |
| − | </blockquote>
| |
| − |
| |
| − | === 1 — ELEMENTARY EVENTS (EE) ===
| |
| − | * The first dynamical expressions of the Field.
| |
| − | * Each EE has four pre-physical aspects:
| |
| − | ** '''A''' — intensity
| |
| − | ** '''n ''' — orientation
| |
| − | ** '''χ ''' — chirality
| |
| − | ** '''u ''' — intrinsic axis
| |
| − | * Two faces:
| |
| − | ** '''σ''' → instantaneous configuration (pre‑spatial)
| |
| − | ** '''τ''' → statistical distribution (pre‑temporal)
| |
| − | σ → instantaneous configuration (pre‑spatial)
| |
| − |
| |
| − | === 2 — ELEMENTARY ACTION (EA) ===
| |
| − | * '''Asymmetries''' in the τ distributions of the four aspects.
| |
| − | * Four discrepancy modes (ΔP):
| |
| − | ** '''ΔP_A''' → proto stress (intensity)
| |
| − | ** '''ΔP_n''' → proto stress (orientation)
| |
| − | ** '''ΔP_χ''' → proto vorticity (chirality)
| |
| − | ** '''ΔP_u''' → proto vorticity (axis orientation)
| |
| − | * EA = '''pre-physical tendencies''', not yet physical quantities.
| |
| − |
| |
| − | === 3 — INFORMATION / ENERGY (Unstructured Physical Potentials) ===
| |
| − | * The Relational Bridge correlates the four EA components → physical potentials emerge:
| |
| − | ** '''Φ_M''' → mass / metric potential
| |
| − | ** '''Φ_A''' → motion / acceleration potential
| |
| − | ** '''Φ_E''' → electric potential
| |
| − | ** '''Φ_B''' → magnetic potential
| |
| − | * These are diffuse physical contents, not yet (individuable, individuate) structures.
| |
| − |
| |
| − | === 4 — INFOSTRUCTURES (Elementary Physical Structures) ===
| |
| − | * The Field organizes the potentials into '''coherent dynamical forms''':
| |
| − | ** '''Wave like'''
| |
| − | ** '''Vortex like'''
| |
| − | ** '''Interaction mediating'''
| |
| − | * Two levels:
| |
| − | ** '''Equilibrium Equations''' → internal coherence conditions
| |
| − | ** '''Proto Physical Equations''' → effective forms (proto wave, proto vortex, proto interaction)
| |
| − | * Geometric projection →
| |
| − | ** '''QM equations''' (Schrödinger, Dirac, Klein–Gordon)
| |
| − | ** '''QFT equations''' (quantum fields)
| |
| − | ** '''Gauge equations''' (Maxwell, Yang–Mills)
| |
| − | ** '''Geometric equations''' (GR)
| |
| − |
| |
| − | === 5 — FORMS (Composite Physical Structures) ===
| |
| − | * The level of conventional physics.
| |
| − | * Three major families:
| |
| − | ** '''atomic and molecular'''
| |
| − | ** '''mesoscopic and biological'''
| |
| − | ** '''astrophysical and cosmological'''
| |
| − | * Forms are '''multi scale organizations of InfoStructures'''.
| |
| − |
| |
| − | == 10-Line Ultra-Synthetic Schema ==
| |
| − |
| |
| − | * '''Source''' → ontological origin
| |
| − | * '''Fundamental Force''' → causal impulse
| |
| − | * '''Elementary Field''' → variational response
| |
| − | * '''Interaction''' → local fluctuations
| |
| − | * '''Event-point''' → sampling operator
| |
| − | * '''Elementary Events''' → four aspects (A, n, χ, u)
| |
| − | * '''Elementary Action''' → four asymmetries (ΔP)
| |
| − | * '''Potentials Φ''' → diffuse physical content
| |
| − | * '''InfoStructures''' → elementary forms + projection → physical equations
| |
| − | * '''Forms''' → composite structures of conventional physics
| |
| − |
| |
| − | == Synthetic Proto Mathematical Map of the Formalization Pathway Across Levels ==
| |
| − |
| |
| − | This subsection provides a synthetic proto-mathematical overview of the formal structures associated with each level of the Process of Formation of Physical Reality. It does not introduce new conceptual content; rather, it organizes the mathematical expressions that accompany the ontological architecture developed above. Its purpose is to offer a unified map of the formalization pathway, preparing the ground for the more detailed mathematical development that will be presented in subsequent work.
| |
| − |
| |
| − | === LEVEL 0 — SOURCE, FORCE, FIELD ===
| |
| − |
| |
| − | ==== 0.1 — Fundamental Force ====
| |
| − |
| |
| − | '''Formal role''': Single scalar causal impulse generated by the Source.
| |
| − |
| |
| − | '''Symbol''':
| |
| − |
| |
| − | F₀
| |
| − |
| |
| − | primitive scalar causal parameter (no associated dynamical equation).
| |
| − |
| |
| − | ==== 0.2 — Elementary Field ====
| |
| − |
| |
| − | '''Formal role''': Pre-spatial, pre-temporal continuous substrate that responds to F₀.
| |
| − |
| |
| − | '''General Field expression''':
| |
| − |
| |
| − | 𝓕 = F₀ (A, n, χ, u; 𝑘<sub>𝐴</sub>, 𝑘<sub>𝑛</sub>, 𝑘<sub>χ</sub>, 𝑘<sub>u</sub>)
| |
| − |
| |
| − | '''Resistance parameters''':
| |
| − | * 𝑘<sub>𝐴</sub>, 𝑘<sub>𝑛</sub> — proto stress resistances
| |
| − | * 𝑘<sub>χ</sub>, 𝑘<sub>u</sub> — proto vorticity resistances
| |
| − |
| |
| − | '''Structure of resistances''':
| |
| − |
| |
| − | k<sub>x</sub> = k<sub>x</sub><sup>(intr)</sup> + k<sub>x</sub><sup>(dyn)</sup> with x ∈ {A,n,χ,u}
| |
| − |
| |
| − | '''Operational hypotheses (to be refined)''':
| |
| − | * k<sub>χ</sub> ≈ ε<sub>0</sub>
| |
| − | * k<sub>u</sub> ≈ μ<sub>0</sub>
| |
| − |
| |
| − | ==== 0.3 — Force–Field Interaction ====
| |
| − |
| |
| − | '''Formal role''': Local variation of the Field induced by the Fundamental Force.
| |
| − |
| |
| − | '''Elementary Event definition''':
| |
| − |
| |
| − | <!--no latex--><span class="tex">EE(𝑥,τ)= δF(𝑥,τ)</span><!--/no latex--><!--latex:\[EE(𝑥,\tau)=\delta F(𝑥,\tau)\]-->
| |
| − |
| |
| − | ==== 0.4 — Event-Point ====
| |
| − |
| |
| − | '''Analytical operator''' used to sample local Field fluctuations.
| |
| − |
| |
| − | '''No additional equation'''.
| |
| − |
| |
| − | === LEVEL 1 — ELEMENTARY EVENTS (EE) ===
| |
| − |
| |
| − | '''Formal role''': First dynamical expressions of the Field's response.
| |
| − |
| |
| − | '''Decomposition into four aspects''':
| |
| − |
| |
| − | EE = {A,n,χ,u}
| |
| − |
| |
| − | '''σ fluctuations (instantaneous configuration)''':
| |
| − |
| |
| − | σ = (A,n,χ,u)<sub>inst</sub>
| |
| − |
| |
| − | '''τ distributions (statistical configuration)''':
| |
| − |
| |
| − | (A(τ),n(τ),χ(τ),u(τ))
| |
| − |
| |
| − | No dynamical equation is associated with this level: EE are local variations of the Field, not autonomous dynamical entities in the Field.
| |
| − |
| |
| − | === LEVEL 2 — ELEMENTARY ACTION (EA) ===
| |
| − |
| |
| − | '''Formal role''': Asymmetries in the τ distributions of the four aspects of EE.
| |
| − |
| |
| − | '''General definition''':
| |
| − |
| |
| − | EA = (ΔP<sub>A</sub>,ΔP<sub>n</sub>,ΔP<sub>χ</sub>,ΔP<sub>u</sub>)
| |
| − |
| |
| − | '''Discrepancy definition''':
| |
| − |
| |
| − | ΔP<sub>x</sub> = τ<sub>x</sub><sup>actual</sup> - τ<sub>x</sub><sup>σ - τ symmetric</sup> with x∈{A,n,χ,u}
| |
| − |
| |
| − | '''Modes''':
| |
| − | * ΔP<sub>A</sub> → Perturbation
| |
| − | * ΔP<sub>n</sub> → Translation
| |
| − | * ΔP<sub>χ</sub> → Rotation:Chirality
| |
| − | * ΔP<sub>u</sub> → Rotation:AxisOrientation
| |
| − |
| |
| − | EA is pre-physical: it encodes sub-elementary dynamical tendencies, not yet physical quantities.
| |
| − |
| |
| − | === LEVEL 3 — INFORMATION / ENERGY (POTENTIALS Φ) ===
| |
| − |
| |
| − | (Non structured physical content)
| |
| − |
| |
| − | Each potential emerges as the solution of an internal coherence condition of the Field, based on a single EA Mode.
| |
| − |
| |
| − | '''Equilibrium conditions''':
| |
| − |
| |
| − | <span style="font-family: 'STIX Two Math', 'Latin Modern Math', 'Cambria Math', serif;">𝓒</span><sub>M</sub> ≡ <span style="font-family: 'STIX Two Math', 'Latin Modern Math', 'Cambria Math', serif;">𝓒</span>(ΔP<sub>A</sub>) = 0
| |
| − | <span style="font-family: 'STIX Two Math', 'Latin Modern Math', 'Cambria Math', serif;">𝓒</span><sub>A</sub> ≡ <span style="font-family: 'STIX Two Math', 'Latin Modern Math', 'Cambria Math', serif;">𝓒</span>(ΔP<sub>n</sub>) = 0
| |
| − | <span style="font-family: 'STIX Two Math', 'Latin Modern Math', 'Cambria Math', serif;">𝓒</span><sub>E</sub> ≡ <span style="font-family: 'STIX Two Math', 'Latin Modern Math', 'Cambria Math', serif;">𝓒</span>(ΔP<sub>χ</sub>) = 0
| |
| − | <span style="font-family: 'STIX Two Math', 'Latin Modern Math', 'Cambria Math', serif;">𝓒</span><sub>B</sub> ≡ <span style="font-family: 'STIX Two Math', 'Latin Modern Math', 'Cambria Math', serif;">𝓒</span>(ΔP<sub>u</sub>) = 0
| |
| − |
| |
| − | '''Diffuse solutions (emergent potentials)''':
| |
| − |
| |
| − | Φ<sub>M</sub> ∈ <i>Sol</i>(<span style="font-family: 'STIX Two Math', 'Latin Modern Math', 'Cambria Math', serif;">𝓒</span><sub>M</sub>)
| |
| − | Φ<sub>A</sub> ∈ <i>Sol</i>(<span style="font-family: 'STIX Two Math', 'Latin Modern Math', 'Cambria Math', serif;">𝓒</span><sub>A</sub>)
| |
| − | Φ<sub>E</sub> ∈ <i>Sol</i>(<span style="font-family: 'STIX Two Math', 'Latin Modern Math', 'Cambria Math', serif;">𝓒</span><sub>E</sub>)
| |
| − | Φ<sub>B</sub> ∈ <i>Sol</i>(<span style="font-family: 'STIX Two Math', 'Latin Modern Math', 'Cambria Math', serif;">𝓒</span>><sub>B</sub>)
| |
| − |
| |
| − | These potentials are weakly structured physical contents, but not yet organized into individuable forms with any degree of stability.
| |
| − |
| |
| − | === LEVEL 4 — INFOSTRUCTURES ===
| |
| − |
| |
| − | At this level, the Field's structured dynamism becomes organized form. Two types of equations appear:
| |
| − | * '''Equilibrium Equations''' → internal coherence conditions (constraints on form).
| |
| − | * '''Proto Physical Equations''' → effective pre-geometric forms (proto wave, proto vortex, proto interaction).
| |
| − |
| |
| − | ==== 4.1 — Wave like InfoStructures ====
| |
| − |
| |
| − | '''Derived primarily from''': ΔPₙ and ΔPᵤ
| |
| − |
| |
| − | '''Wave like equilibrium condition''':
| |
| − |
| |
| − | <span style="font-family: 'STIX Two Math', 'Latin Modern Math', 'Cambria Math', serif;">𝓒</span><sub>wave</sub>(ΔP<sub>n</sub>,ΔP<sub>u</sub>) = 0
| |
| − |
| |
| − | This expresses the internal coherence requirement that allows Translation and Rotation: Axis Orientation tendencies to organize into a persistent oscillatory form.
| |
| − |
| |
| − | '''Proto wave equation''':
| |
| − |
| |
| − | <span style="font-family: 'STIX Two Math', 'Latin Modern Math', 'Cambria Math', serif;">𝓦</span>[Ψ;ΔP<sub>n</sub>,ΔP<sub>u</sub>] = 0
| |
| − |
| |
| − | The Wave like InfoStructure Ψ is the Field configuration that satisfies the oscillatory coherence condition generated by the EA Modes ΔP<sub>n</sub> and ΔP<sub>u</sub>.
| |
| − |
| |
| − | ==== 4.2 — Vortex like InfoStructures ====
| |
| − |
| |
| − | '''Derived from''': all four EA Modes
| |
| − |
| |
| − | '''Vortex like equilibrium condition''':
| |
| − |
| |
| − | <span style="font-family: 'STIX Two Math', 'Latin Modern Math', 'Cambria Math', serif;">𝓒</span><sub>vortex</sub>(ΔP<sub>A</sub>,ΔP<sub>n</sub>,ΔP<sub>χ</sub>,ΔP<sub>u</sub>) = 0
| |
| − |
| |
| − | This expresses the internal coherence requirement that allows all four tendencies (Perturbation, Translation, Rotation: Chirality, Rotation: Axis Orientation) to organize into a persistent, topologically confined vortical configuration.
| |
| − |
| |
| − | '''Proto vortex equation''':
| |
| − |
| |
| − | <span style="font-family: 'STIX Two Math', 'Latin Modern Math', 'Cambria Math', serif;">𝓥</span>[Ξ;ΔP<sub>A</sub>,ΔP<sub>n</sub>,ΔP<sub>χ</sub>,ΔP<sub>u</sub>] = 0
| |
| − |
| |
| − | The Vortex like InfoStructure Ξ is the Field configuration that satisfies the vortical coherence condition, giving rise to a localized structure with intrinsic circulation and dynamic topological persistence.
| |
| − |
| |
| − | ==== 4.3 — Interaction mediating InfoStructures ====
| |
| − |
| |
| − | '''Relational equilibrium conditions''':
| |
| − |
| |
| − | <span style="font-family: 'STIX Two Math', 'Latin Modern Math', 'Cambria Math', serif;">𝓒</span><sub>int</sub>(Ψ,Ξ) = 0
| |
| − |
| |
| − | This expresses the internal coherence requirement that allows wave like forms (Ψ) and vortex like forms (Ξ) to correlate their organizations in a stable way, generating a relational structure not reducible to the individual InfoStructures.
| |
| − |
| |
| − | '''Proto interaction equation (effective form)''':
| |
| − |
| |
| − | <span style="font-family: 'STIX Two Math', 'Latin Modern Math', 'Cambria Math', serif;">𝓘</span>[Ψ,Ξ] = 0
| |
| − |
| |
| − | The Interaction like InfoStructure I is the Field configuration that satisfies the relational coherence condition between Ψ and Ξ, giving rise to an integrated form in which different InfoStructures (multiple Vortices, Vortices and Waves, etc) mutually influence each other in a persistent and structured manner.
| |
| − |
| |
| − | ==== 4.6 — Geometric Projection ====
| |
| − |
| |
| − | When the Proto Physical Equations are '''projected into geometric and algebraic representation spaces''':
| |
| − | * '''Wave like''' → Schrödinger / Klein–Gordon
| |
| − | * '''Vortex like''' → Dirac / spinor equations
| |
| − | * '''Interaction-mediating''' → Maxwell / Yang–Mills
| |
| − |
| |
| − | '''Symbolically''':
| |
| − | Proj (<span style="font-family: 'STIX Two Math', 'Latin Modern Math', 'Cambria Math', serif;">𝓦</span>) → QM wave equations
| |
| − | Proj (<span style="font-family: 'STIX Two Math', 'Latin Modern Math', 'Cambria Math', serif;">𝓥</span>) → spinor equations
| |
| − | Proj (<span style="font-family: 'STIX Two Math', 'Latin Modern Math', 'Cambria Math', serif;">𝓘</span>) → gauge equations
| |
| − |
| |
| − | These are representations, not ontological primitives: they express the geometric and algebraic translation of the Field's coherence structures into conventional physical form.
| |
| − |
| |
| − | === LEVEL 5 — FORMS ===
| |
| − |
| |
| − | No new fundamental equation is introduced at this level.
| |
| − |
| |
| − | Symbolic relations:
| |
| − | * '''Forms''' → organized systems of InfoStructures
| |
| − | * '''Processes''' → dynamical modes of Forms
| |
| − | * '''Systems''' → integrated organizations of Forms and Processes; networks exhibiting coherence or individuality
| |
| − | * '''Patterns''' → cross-scale recurrent emergent structures
| |
| − | * '''Domains''' → macro-contexts where Forms,Processes,Systems,Patterns act as derived causal sources
| |
| − |
| |
| − | Conventional equations of chemistry, biology, astrophysics, and cosmology are understood as effective descriptions of composite organizations of InfoStructures.
| |
| − |
| |
| − |
| |
| − | === Summary Table (all equations by level) ===
| |
| − |
| |
| − | <!--no latex-->
| |
| − | <table class="wikitable">
| |
| − |
| |
| − | <tr>
| |
| − | <th>Level</th>
| |
| − | <th>Level name</th>
| |
| − | <th>Equations / Symbols</th>
| |
| − | </tr>
| |
| − |
| |
| − | <tr>
| |
| − | <td>0.1</td>
| |
| − | <td>Fundamental Force</td>
| |
| − | <td>
| |
| − | <!--no latex-->F₀<!--/no latex--><!--latex:$F_0$--><br/>
| |
| − | Single scalar causal impulse generated by the Source.
| |
| − | </td>
| |
| − | </tr>
| |
| − |
| |
| − | <tr>
| |
| − | <td>0.2</td>
| |
| − | <td>Elementary Field</td>
| |
| − | <td>
| |
| − | <!--no latex--><span class="tex">𝓕 = F₀(A, n, χ, u; k<sub>A</sub>, k<sub>n</sub>, k<sub>χ</sub>, k<sub>u</sub>)</span><!--/no latex--><!--latex:\[\mathcal{F} = F_{0}(A,n,\chi,u;\,k_{A},k_{n},k_{\chi},k_{u})\]--><br>
| |
| − | <!--no latex--><span class="tex">k<sub>𝓲</sub> = k<sub>𝓲</sub><sup>intr</sup> + k<sub>𝓲</sub><sup>dyn</sup></span><!--/no latex--><!--latex:\[k_{\mathcal{i}} = k_{\mathcal{i}}^{\mathrm{intr}} + k_{\mathcal{i}}^{\mathrm{dyn}}\]-->, <!--no latex--><span class="tex">𝓲 ∈ {A, n, χ, u}</span><!--/no latex--><!--latex:\[\mathcal{i} \in \{A,n,\chi,u\}\]--><br>
| |
| − | Proto-resistances: <!--no latex--><span class="tex">k<sub>A</sub>, k<sub>n</sub>, k<sub>χ</sub>, k<sub>u</sub></span><!--/no latex--><!--latex:\[k_{A},\; k_{n},\; k_{\chi},\; k_{u}\]-->
| |
| − | </td>
| |
| − | </tr>
| |
| − |
| |
| − | <tr>
| |
| − | <td>0.3</td>
| |
| − | <td>Force–Field Interaction</td>
| |
| − | <td>
| |
| − | <span class="tex">EE(𝑥,τ) = δ𝓕(𝑥,τ)</span><br/>
| |
| − | Elementary Event definition.
| |
| − | </td>
| |
| − | </tr>
| |
| − |
| |
| − | <tr>
| |
| − | <td>0.4</td>
| |
| − | <td>Event-Point</td>
| |
| − | <td>
| |
| − | Analytical operator sampling local Field fluctuations.<br/>
| |
| − | No additional equation.
| |
| − | </td>
| |
| − | </tr>
| |
| − |
| |
| − | <tr>
| |
| − | <td>1</td>
| |
| − | <td>Elementary Events (EE)</td>
| |
| − | <td>
| |
| − | Decomposition: <span class="tex">EE = {A,n,χ,u}</span><br/>
| |
| − | Instantaneous configuration: <span class="tex">σ = (A,n,χ,u)<sub>ist</sub></span><br/>
| |
| − | Statistical configuration: <span class="tex">(A(τ), n(τ), χ(τ), u(τ))</span>
| |
| − | </td>
| |
| − | </tr>
| |
| − |
| |
| − | <tr>
| |
| − | <td>2</td>
| |
| − | <td>Elementary Action (EA)</td>
| |
| − | <td>
| |
| − | <span class="tex">EA = (ΔP<sub>A</sub>, ΔP<sub>n</sub>, ΔP<sub>χ</sub>, ΔP<sub>u</sub>)</span><br/>
| |
| − | <span class="tex">ΔP<sub>𝓲</sub> = τ<sub>𝓲</sub><sup>actual</sup> − τ<sub>𝓲</sub><sup>σ−τ\ symmetric</sup></span>, <span class="tex">𝓲 ∈ {A,n,χ,u}</span><br/>
| |
| − | Modes: Perturbation, Translation, Rotation: Chirality, Rotation: Axis Orientation.
| |
| − | </td>
| |
| − | </tr>
| |
| − |
| |
| − | <tr>
| |
| − | <td>3</td>
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| − | <td>Information / Energy (Potentials Φ)</td>
| |
| − | <td>
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| − | Equilibrium conditions:<br/>
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| − | <span class="tex">𝓒<sub>M</sub> = 𝓒(ΔP<sub>A</sub>) = 0</span><br/>
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| − | <span class="tex">𝓒<sub>A</sub> = 𝓒(ΔP<sub>n</sub>) = 0</span><br/>
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| − | <span class="tex">𝓒<sub>E</sub> = 𝓒(ΔP<sub>χ</sub>) = 0</span><br/>
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| − | <span class="tex">𝓒<sub>B</sub> = 𝓒(ΔP<sub>u</sub>) = 0</span><br/>
| |
| − | Diffuse solutions:<br/>
| |
| − | <span class="tex">Φ<sub>M</sub>, Φ<sub>A</sub>, Φ<sub>E</sub>, Φ<sub>B</sub> ∈ Sol(𝓒)</span>
| |
| − | </td>
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| − | </tr>
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| − |
| |
| − | <tr>
| |
| − | <td>4.1</td>
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| − | <td>Wave-like InfoStructures</td>
| |
| − | <td>
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| − | Derived from: <span class="tex">ΔP<sub>n</sub>, ΔP<sub>u</sub></span><br/>
| |
| − | Equilibrium: <span class="tex">𝓒<sub>wave</sub>(ΔP<sub>n</sub>,ΔP<sub>u</sub>) = 0</span><br/>
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| − | Proto-wave equation: <span class="tex">𝓦[Ψ;ΔP<sub>n</sub>,ΔP<sub>u</sub>] = 0</span>
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| − | </td>
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| − | </tr>
| |
| − |
| |
| − | <tr>
| |
| − | <td>4.2</td>
| |
| − | <td>Vortex-like InfoStructures</td>
| |
| − | <td>
| |
| − | Derived from all EA Modes.<br/>
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| − | Equilibrium: <span class="tex">𝓒<sub>vortex</sub>(ΔP<sub>A</sub>,ΔP<sub>n</sub>,ΔP<sub>χ</sub>,ΔP<sub>u</sub>) = 0</span><br/>
| |
| − | Proto-vortex equation: <span class="tex">𝓥[Ξ;ΔP<sub>A</sub>,ΔP<sub>n</sub>,ΔP<sub>χ</sub>,ΔP<sub>u</sub>] = 0</span>
| |
| − | </td>
| |
| − | </tr>
| |
| − |
| |
| − | <tr>
| |
| − | <td>4.3</td>
| |
| − | <td>Interaction-mediating InfoStructures</td>
| |
| − | <td>
| |
| − | Relational equilibrium: <span class="tex">𝓒<sub>int</sub>(Ψ,Ξ) = 0</span><br/>
| |
| − | Proto-interaction equation: <span class="tex">𝓘[Ψ,Ξ] = 0</span>
| |
| − | </td>
| |
| − | </tr>
| |
| − |
| |
| − | <tr>
| |
| − | <td>4.6</td>
| |
| − | <td>Geometric Projection</td>
| |
| − | <td>
| |
| − | <span class="tex">Proj(𝓦) → QM wave equations</span><br/>
| |
| − | <span class="tex">Proj(𝓥) → spinor equations</span><br/>
| |
| − | <span class="tex">Proj(𝓘) → gauge equations</span>
| |
| − | </td>
| |
| − | </tr>
| |
| − |
| |
| − | <tr>
| |
| − | <td>5</td>
| |
| − | <td>Forms</td>
| |
| − | <td>
| |
| − | Composite organizations of InfoStructures.<br/>
| |
| − | No new fundamental equation.
| |
| − | </td>
| |
| − | </tr>
| |
| − |
| |
| − | </table>
| |
| − | <!--/no latex-->
| |
| − |
| |
| − | <!--latex:
| |
| − | \begin{table}[h!]
| |
| − | \centering
| |
| − | \begin{tabular}{|c|l|l|}
| |
| − | \hline
| |
| − | \textbf{Level} & \textbf{Level name} & \textbf{Equations / Symbols} \\
| |
| − | \hline
| |
| − |
| |
| − | 0.1 & Fundamental Force &
| |
| − | $\displaystyle F_{0}$\\
| |
| − | & &
| |
| − | Single scalar causal impulse generated by the Source. \\
| |
| − | \hline
| |
| − |
| |
| − | 0.2 & Elementary Field &
| |
| − | $\displaystyle \mathcal{F} = F_{0}(A,n,\chi,u;\, k_{A},k_{n},k_{\chi},k_{u})$\
| |
| − |
| |
| − | \[4pt]
| |
| − | & &
| |
| − | $\displaystyle k_{x} = k_{x}^{\mathrm{intr}} + k_{x}^{\mathrm{dyn}},\quad x\in\{A,n,\chi,u\}$\
| |
| − |
| |
| − | \[4pt]
| |
| − | & &
| |
| − | Proto-resistances: $\displaystyle k_{A},k_{n},k_{\chi},k_{u}$\\
| |
| − | \hline
| |
| − |
| |
| − | 0.3 & Force--Field Interaction &
| |
| − | $\displaystyle EE(x,\tau)=\delta \mathcal{F}(x,\tau)$\\
| |
| − | & &
| |
| − | Elementary Event definition. \\
| |
| − | \hline
| |
| − |
| |
| − | 0.4 & Event-Point &
| |
| − | Analytical operator sampling local Field fluctuations.\\
| |
| − | & &
| |
| − | No additional equation. \\
| |
| − | \hline
| |
| − |
| |
| − | 1 & Elementary Events (EE) &
| |
| − | Decomposition: $\displaystyle EE=\{A,n,\chi,u\}$\
| |
| − |
| |
| − | \[4pt]
| |
| − | & &
| |
| − | Instantaneous configuration: $\displaystyle \sigma=(A,n,\chi,u)_{\mathrm{ist}}$\
| |
| − |
| |
| − | \[4pt]
| |
| − | & &
| |
| − | Statistical configuration: $\displaystyle (A(\tau),n(\tau),\chi(\tau),u(\tau))$\\
| |
| − | \hline
| |
| − |
| |
| − | 2 & Elementary Action (EA) &
| |
| − | $\displaystyle EA=(\Delta P_{A},\Delta P_{n},\Delta P_{\chi},\Delta P_{u})$\
| |
| − |
| |
| − | \[4pt]
| |
| − | & &
| |
| − | $\displaystyle \Delta P_{x}=\tau_{x}^{\mathrm{actual}}-\tau_{x}^{\sigma-\tau\ \mathrm{symmetric}},\quad x\in\{A,n,\chi,u\}$\
| |
| − |
| |
| − | \[4pt]
| |
| − | & &
| |
| − | Modes: Perturbation, Translation, Rotation: Chirality, Rotation: Axis Orientation.\\
| |
| − | \hline
| |
| − |
| |
| − | 3 & Information / Energy (Potentials $\Phi$) &
| |
| − | Equilibrium conditions:\
| |
| − |
| |
| − | \[4pt]
| |
| − | & &
| |
| − | $\displaystyle \mathcal{C}_{M}=\mathcal{C}(\Delta P_{A})=0$\\
| |
| − | & &
| |
| − | $\displaystyle \mathcal{C}_{A}=\mathcal{C}(\Delta P_{n})=0$\\
| |
| − | & &
| |
| − | $\displaystyle \mathcal{C}_{E}=\mathcal{C}(\Delta P_{\chi})=0$\\
| |
| − | & &
| |
| − | $\displaystyle \mathcal{C}_{B}=\mathcal{C}(\Delta P_{u})=0$\
| |
| − |
| |
| − | \[4pt]
| |
| − | & &
| |
| − | Diffuse solutions: $\displaystyle \Phi_{M},\Phi_{A},\Phi_{E},\Phi_{B}\in\mathrm{Sol}(\mathcal{C})$\\
| |
| − | \hline
| |
| − |
| |
| − | 4.1 & Wave-like InfoStructures &
| |
| − | Derived from: $\displaystyle \Delta P_{n},\Delta P_{u}$\
| |
| − |
| |
| − | \[4pt]
| |
| − | & &
| |
| − | Equilibrium: $\displaystyle \mathcal{C}_{\mathrm{wave}}(\Delta P_{n},\Delta P_{u})=0$\
| |
| − |
| |
| − | \[4pt]
| |
| − | & &
| |
| − | Proto-wave equation: $\displaystyle \mathcal{W}[\Psi;\Delta P_{n},\Delta P_{u}]=0$\\
| |
| − | \hline
| |
| − |
| |
| − | 4.2 & Vortex-like InfoStructures &
| |
| − | Derived from all EA Modes.\
| |
| − |
| |
| − | \[4pt]
| |
| − | & &
| |
| − | Equilibrium: $\displaystyle \mathcal{C}_{\mathrm{vortex}}(\Delta P_{A},\Delta P_{n},\Delta P_{\chi},\Delta P_{u})=0$\
| |
| − |
| |
| − | \[4pt]
| |
| − | & &
| |
| − | Proto-vortex equation: $\displaystyle \mathcal{V}[\Xi;\Delta P_{A},\Delta P_{n},\Delta P_{\chi},\Delta P_{u}]=0$\\
| |
| − | \hline
| |
| − |
| |
| − | 4.3 & Interaction-mediating InfoStructures &
| |
| − | Relational equilibrium: $\displaystyle \mathcal{C}_{\mathrm{int}}(\Psi,\Xi)=0$\
| |
| − |
| |
| − | \[4pt]
| |
| − | & &
| |
| − | Proto-interaction equation: $\displaystyle \mathcal{I}[\Psi,\Xi]=0$\\
| |
| − | \hline
| |
| − |
| |
| − | 4.6 & Geometric Projection &
| |
| − | $\displaystyle \mathrm{Proj}(\mathcal{W})\rightarrow\text{QM wave equations}$\
| |
| − |
| |
| − | \[4pt]
| |
| − | & &
| |
| − | $\displaystyle \mathrm{Proj}(\mathcal{V})\rightarrow\text{spinor equations}$\
| |
| − |
| |
| − | \[4pt]
| |
| − | & &
| |
| − | $\displaystyle \mathrm{Proj}(\mathcal{I})\rightarrow\text{gauge equations}$\\
| |
| − | \hline
| |
| − |
| |
| − | 5 & Forms &
| |
| − | Composite organizations of InfoStructures.\\
| |
| − | & &
| |
| − | No new fundamental equation.\\
| |
| − | \hline
| |
| − |
| |
| − | \end{tabular}
| |
| − | \end{table}
| |
| − | -->
| |
| | | | |
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