TFNR - A first look - Revision history

Paolo: /* God doesn't play dice with the world */

2026-04-21T10:31:53Z

‎God doesn't play dice with the world

Paolo: /* God doesn't play dice with the world */

2026-04-21T10:30:47Z

‎God doesn't play dice with the world

Paolo: /* Energy, Time and Uncertainty: at the very basis of Physical Reality */

2026-04-21T10:29:54Z

‎Energy, Time and Uncertainty: at the very basis of Physical Reality

Paolo: /* Everything evolves: the causal and the variational evolutive nature of Reality */

2026-04-21T10:29:15Z

‎Everything evolves: the causal and the variational evolutive nature of Reality

Paolo: /* From level to level: the evolution toward Complexity. The nested multilevel structure of Reality */

2026-02-15T18:13:55Z

‎From level to level: the evolution toward Complexity. The nested multilevel structure of Reality

Paolo: /* From level to level: the evolution toward Complexity. The nested multilevel structure of Reality */

2026-02-15T18:06:13Z

‎From level to level: the evolution toward Complexity. The nested multilevel structure of Reality

Paolo: /* From level to level: the evolution toward Complexity. The nested multilevel structure of Reality */

2026-02-15T18:06:01Z

‎From level to level: the evolution toward Complexity. The nested multilevel structure of Reality

Paolo at 15:30, 18 January 2026

2026-01-18T15:30:53Z

Paolo at 19:27, 17 January 2026

2026-01-17T19:27:28Z

Paolo: /* Space-time Metric: the evolution of the Elementary Field */

2026-01-17T16:42:00Z

‎Space-time Metric: the evolution of the Elementary Field

@@ Line 1,388: / Line 1,388: @@
 Does this mean that all natural phenomena are random and that nothing can be predicted with a given accuracy? No, it's not like that. The emergence of deterministic certainties is '''the result of a profound evolutionary process'''. The whole [[Process of Formation of Reality]] is an incessant tension towards order, a progressive emergence of organization from chaos / chance. Chaos-order processes, where the organization builds more and more complex Information starting from more or less chaotic Action. The same evolution of the [[Causality|causal dimension]] of Reality starts from [[Uncertainty]], from indeterminacy, which we find in quantum dynamics and represent through probabilities, to arrive at [[Certainty]], determination, as represented by the laws of classical dynamics, to evolve further towards [[Purposiveness]], sense, which we find in the dynamics of [[Cognitive Reality]], where [[Cognitive Processes]] emerge and are expressed.
 <p></p>
-Therefore [[Reality]] is '''the result of the interacting dynamics of these superimposed levels''', partly dominated by uncertainty, partly by certainty and partly, as regards the complex dynamics of the cognitive systems of living beings, by purpose and meaning. Nothing is exclusively uncertain, just as nothing is completely certain or finalistic. Even the orbit of a planet, which can be predicted highly precisely based on the classical relativistic laws of motion and gravitation, if observed in infinite detail, measured with infinite precision, would show the infinitesimal influence of quantum fluctuations, which regulate the matter, of which the celestial bodies involved are formed, and the space-time in which they move. What changes is the relevance.
+Therefore [[Reality]] is '''the result of the interacting dynamics of these superimposed levels''', partly dominated by uncertainty, partly by certainty and partly, as regards the complex dynamics of the cognitive systems of living beings, by purpose and meaning. Nothing is exclusively uncertain, just as nothing is completely certain or purpose‑oriented. Even the orbit of a planet, which can be predicted highly precisely based on the classical relativistic laws of motion and gravitation, if observed in infinite detail, measured with infinite precision, would show the infinitesimal influence of quantum fluctuations, which regulate the matter, of which the celestial bodies involved are formed, and the space-time in which they move. What changes is the relevance.
 <p></p>
 Observing a single electron of any atom, of any grain of dust on that planet, the uncertain / indeterminate dynamics, dear to quantum mechanics, would dominate the scene, overcoming the few deterministic aspects. By observing the entire planet in its orbital motion and its revolving around its star, the deterministic aspects would vastly outweigh the incredibly small quantum effects, which substantially offset each other. [[Processes]] of [[Events]], always processes, which we can mathematically describe as '''integrated stochastic and deterministic processes''', where the two components of uncertainty and certainty, indeterminacy and determination, intertwine, prevailing in turn in the various domains of Reality, at the different dimensional scales and levels of [[Complexity]].

@@ Line 1,386: / Line 1,386: @@
 "God doesn't play dice with the world." is Albert Einstein's most famous statement on quantum physics. My esteem and consideration for Einstein and his work is boundless, but '''I cannot completely agree with this belief of him'''. God, or rather, the [[Source of Reality]], the couple [[Fundamental Force]] and [[Elementary Field]], in its foundations, at the most elementary level, manifests itself in a chaotic, uncertain, indeterminate form. The most basic form of [[Action]] is well described by the [[Principle of Uncertainty]].
 <p></p>
-Does this mean that all natural phenomena are random and that nothing can be predicted with a given accuracy? No, it's not like that. The emergence of deterministic certainties is '''the result of a profound evolutionary process'''. The whole [[Process of Formation of Reality]] is an incessant tension towards order, a progressive emergence of organization from chaos / chance. Chaos-order processes, where the organization builds more and more complex Information starting from more or less chaotic Action. The same evolution of the [[Causality|causal dimension]] of Reality starts from [[Uncertainty]], from indeterminacy, which we find in quantum dynamics and represent through probabilities, to arrive at [[Certainty]], determination, as represented by the laws of classical dynamics, to evolve further towards [[Finality]], purpose, sense, which we find in the dynamics of [[Cognitive Reality]], where [[Cognitive Processes]] emerge and are expressed.
+Does this mean that all natural phenomena are random and that nothing can be predicted with a given accuracy? No, it's not like that. The emergence of deterministic certainties is '''the result of a profound evolutionary process'''. The whole [[Process of Formation of Reality]] is an incessant tension towards order, a progressive emergence of organization from chaos / chance. Chaos-order processes, where the organization builds more and more complex Information starting from more or less chaotic Action. The same evolution of the [[Causality|causal dimension]] of Reality starts from [[Uncertainty]], from indeterminacy, which we find in quantum dynamics and represent through probabilities, to arrive at [[Certainty]], determination, as represented by the laws of classical dynamics, to evolve further towards [[Purposiveness]], sense, which we find in the dynamics of [[Cognitive Reality]], where [[Cognitive Processes]] emerge and are expressed.
 <p></p>
 Therefore [[Reality]] is '''the result of the interacting dynamics of these superimposed levels''', partly dominated by uncertainty, partly by certainty and partly, as regards the complex dynamics of the cognitive systems of living beings, by purpose and meaning. Nothing is exclusively uncertain, just as nothing is completely certain or finalistic. Even the orbit of a planet, which can be predicted highly precisely based on the classical relativistic laws of motion and gravitation, if observed in infinite detail, measured with infinite precision, would show the infinitesimal influence of quantum fluctuations, which regulate the matter, of which the celestial bodies involved are formed, and the space-time in which they move. What changes is the relevance.
 <p></p>
-Observing a single electron of any atom, of any grain of dust on that planet, the uncertain / indeterminate dynamics, dear to quantum mechanics, would dominate the scene, overcoming the few deterministic aspects. By observing the entire planet in its orbital motion and its revolving around its star, the deterministic aspects would vastly outweigh the incredibly small quantum effects, which substantially offset each other. [[Processes]] of [[Events]], always processes, which we can mathematically describe as '''integrated stochastic and deterministic processes''', where the two components of uncertainty and certainty, indeterminacy and determination, intertwine, prevailing in turn in the various domains of Reality, at the different dimensional scales and levels of [[complexity]].
+Observing a single electron of any atom, of any grain of dust on that planet, the uncertain / indeterminate dynamics, dear to quantum mechanics, would dominate the scene, overcoming the few deterministic aspects. By observing the entire planet in its orbital motion and its revolving around its star, the deterministic aspects would vastly outweigh the incredibly small quantum effects, which substantially offset each other. [[Processes]] of [[Events]], always processes, which we can mathematically describe as '''integrated stochastic and deterministic processes''', where the two components of uncertainty and certainty, indeterminacy and determination, intertwine, prevailing in turn in the various domains of Reality, at the different dimensional scales and levels of [[Complexity]].
 </blockquote>

@@ Line 1,323: / Line 1,323: @@
 '''Uncertainty is pervasive, ubiquitous, in the most elementary [[Levels of Reality]]''' (from the Planck scale to the [[Processes]] of [[Events]] that we call particles and waves, the Structures of Information, and in some form even beyond, for atoms, etc.). Uncertainty has to do with the way in which Elementary Events are incessantly produced, and how their distributions in the Elementary Field manifest inhomogeneity in their fundamental parameters, inhomogeneities that constitute [[Elementary Action]] and its [[Modes / Components]]. It is this underlying uncertainty that allows Reality to exist. If the distributions were certain, determined, the Elementary Field would be absolutely homogeneous, there would be no fundamental gradients (the Elementary Action in its component that we call [[Perturbation]]) on whose organization the whole existence of Reality is based. No Elementary Event = [[Nothingness]], [[Inexistence]]. Homogeneity of the distributions of Elementary Events = Absolute [[Emptiness]]. However, nothing would exist. Certainly not Reality as we know it, which is the result of the incessant creation of Elementary Events by the Source of Reality, which incessantly promotes the evolution of the organization of the inhomogeneities of the distributions of Events in Information, Information Structures, Forms, the whole Universe, in an escalation of complexity. Inhomogeneity of the distributions of Elementary Events = Somethingness, the root of all that exists.
 <p></p>
-[[Certainty]], [[Necessity]] (and the consequent determinism) emerge from the causal evolution of Reality. When we move away from the most elementary levels of Reality, from the Source, from the Events and the Elementary Action, from the [[Information]] / [[Energy]] and from the Structures composed by it (waves and particles), when we are dealing with larger scales of magnitude, larger aggregates of Structures, here '''the weight of uncertainty gradually diminishes''', the uncertainty slips into the background, and certainty and necessity emerge with ever more force, what we observe in our macroscopic reality, in the domains of classical physics. The third step in the evolution of [[Causality]] is the [[Finality]], the emergence of sense, of meaning, of good, a more complex form of necessity, relevant to the cognitive systems of the living beings (and automata), from the most elementary to the most complex forms, such as the human beings.
+[[Certainty]], [[Necessity]] (and the consequent determinism) emerge from the causal evolution of Reality. When we move away from the most elementary levels of Reality, from the Source, from the Events and the Elementary Action, from the [[Information]] / [[Energy]] and from the Structures composed by it (waves and particles), when we are dealing with larger scales of magnitude, larger aggregates of Structures, here '''the weight of uncertainty gradually diminishes''', the uncertainty slips into the background, and certainty and necessity emerge with ever more force, what we observe in our macroscopic reality, in the domains of classical physics. The third step in the evolution of [[Causality]] is the [[Purposiveness]], the emergence of sense, of meaning, of good, a more complex form of necessity, relevant to the cognitive systems of the living beings (and automata), from the most elementary to the most complex forms, such as the human beings.
 <p></p>
 '''One of the most important uncertainty relation is that between [[Energy]] and [[Time]]'''. Rewritten in its fundamental components (Energy = Force by displacement, this variation of spatial distance), it relates [[Force]], [[Space]] and [[Time]] and provides us with the formal description of the incessant [[Creation]] of Reality at its most elementary level. Force represents the causal aspect of Creation, the spatial and temporal variations represent the variational aspect. This relation fully expresses the incessant manifestation of the Source of Reality, the inner interaction between the Fundamental Force (Force, [[Cause]]) and the Elementary Field (from its most elementary organization emerge what we call Space and Time) produces the Elementary Events (i.e. we can describe through stochastic processes), the inhomogeneities of which distributions represent the Elementary Action in its modes / components ([[Perturbation]], [[Translation]], [[Rotation:Chirality]] and [[Rotation:AxisOrientation]]), the "substance" from whose organization / aggregation everything that exists is made, the entire evolving [[Universe]].

@@ Line 425: / Line 425: @@
 **'''Uncertainty''' / Indetermination / Probability
 **'''Necessity''' / Certainty / Determination
-**'''Finality''' / Purpose / Sense / Meaning
+**'''Purpose''' / Sense / Meaning
 <p></p>
 '''Variational Evolution''' (this represent the Process by which variations of the structure of Fields—produced by the Action of Forces—organize themselves into increasingly complex Forms):

@@ Line 472: / Line 472: @@
    \centering
    \includegraphics[width=.98\textwidth]{Symmetry_and_Symmetry_Breaking_in_the_Dynamics_of_Elementary_Action}
    \caption{Symmetries and Symmetry Breaking in the Dynamics of Elementary Action}\label{tab:somelabel}
 \end{table}

@@ Line 461: / Line 461: @@
 <p></p>
 Always keeping in mind that fundamental unity, we can imagine the various [[Levels of Reality]] as separate worlds, each with distinct principles, laws, dynamics, and expressions—different declinations of the Fundamental Principles that describe the whole of Reality. '''This abstraction can help us face more easily the immense Complexity of Reality'''; it enables the development of better systems of formalization, allowing us to treat high-level structures as macro processes without necessarily describing them in terms of more elementary-level structures.
 <!--no latex-->

@@ Line 857: / Line 857: @@
 | Evolutionary Physics (this model) || Variable at scales below and a few orders above the Planck scale<br/><br/>Absolute at larger scales up to infinity || Variable (at every scale) || Variable Metric, emergent from the dynamics of the Elementary Field || Variable (due to the variability of Time)
 |}
-<!--/no latex -->
+<!--/no latex-->
 <!--latex:
@@ Line 993: / Line 993: @@
 ***active gravitational mass: a measure of the strength of an object's gravitational flux. Active gravitational mass is the property of an object that determines the strength of its own gravitational field and, consequently, its "gravitational flux," understood as the flux of the gravitational field through a closed surface surrounding it. In other words, it is the "source" of the gravitational field
 ***passive gravitational Mass: a measure of the strength of an object's interaction with a gravitational field. Passive gravitational mass is the property of an object that measures its response to an external gravitational field. It is the mass that determines the gravitational force acting on the object within a given field
-***energy also has mass, according to the principle of "mass-energy equivalence", summarized by Einstein's famous equation <!--no latex-->(E=mc^2)<!--/no latex --><!--latex:\(E = mc^2\)-->, which establishes that mass and energy are two interchangeable forms of the same thing. The equation indicates that energy (E) and mass (m) are equivalent. Furthermore, the principle implies that whenever energy is released, the mass of the system decreases accordingly, and vice versa.
+***energy also has mass, according to the principle of "mass-energy equivalence", summarized by Einstein's famous equation <!--no latex-->(E=mc^2)<!--/no latex--><!--latex:\(E = mc^2\)-->, which establishes that mass and energy are two interchangeable forms of the same thing. The equation indicates that energy (E) and mass (m) are equivalent. Furthermore, the principle implies that whenever energy is released, the mass of the system decreases accordingly, and vice versa.
 **EP:
 ***active gravitational Mass: a measure of the amount of correlation of Translation induced in the Elementary Field by the Perturbation that characterizes a Structure or a body/object (Mass) present in the Field

@@ Line 847: / Line 847: @@
 ! Space-time models !! Space !! Time !! Space-time !! Limit of the velocity of propagation of Causality / Action / Information<br />(so-called speed of light)
 |-
-| Classical Physics || Absolute || Absolute || <!--no latex-->-<!--/no latex --><!--latex:\textemdash--> || <!--no latex-->-<!--/no latex --><!--latex:\textemdash-->
+| Classical Physics || Absolute || Absolute || - || -
 |-
 | Special Relativity || Absolute || Absolute || Absolute || Constant / Absolute
@@ Line 866: / Line 866: @@
 \textbf{Space-time models} & \textbf{Space} & \textbf{Time} & \textbf{Space-time} & \textbf{Limit of the velocity of propagation of Causality / Action / Information (so-called speed of light)} \\
 \hline
-Classical Physics & Absolute & Absolute & – & – \\
+Classical Physics & Absolute & Absolute & - & - \\
 \hline
 Special Relativity & Absolute & Absolute & Absolute & Constant / Absolute \\