TFNR - Structured Energy "of" the Field: Potential Energy
Potential Energy corresponds to the structured Energy "of" the Elementary Field. It is not Energy belonging to an InfoStructure, but to the Field itself, as organized by the presence, distribution, and dynamical state of all InfoStructures causally connected within it. Potential Energy is therefore the energetic expression of the Field's configuration — the pattern of the correlations of Elementary Action in its Modes that the Field composes by aggregating the contributions of all the InfoStructures present in it.
In the structured Field, the four Fundamental Physical Potentials — Metric, Motion, Electric, and Magnetic — emerge from correlations of the Components of Elementary Action distributed across the event‑points of the Field. These Potentials are not properties of the InfoStructures, but of the Field: they describe how the Field organizes its dynamical tendencies in the presence of InfoStructures, forming the energetic environment in which any given Structure evolves, interacts, and transforms.
From the perspective of a test Structure, Potential Energy is the effect of this environment. It is the Energy of the Field that the Structure "feels", not Energy that the Structure "possesses". The gradient of Metric potential produces gravitational acceleration; the gradient of Motion potential produces inertial acceleration; the gradients of Electric and Magnetic potentials produce electric and magnetic accelerations. These accelerations are correlations of Translation induced by the Potentials of the Field.
To understand this relational nature, we may imagine a kind of mean‑field description. The Field surrounding a test Structure can be treated as a single composite entity formed by all other InfoStructures. Their contributions to Elementary Action overlap and are aggregated by the Field, in the Field, producing the Potentials that define the energetic environment, manifestation of the organization of the sub-elementary dynamism of the Field itself. Potential Energy is the "snapshot" of this organization — the inhomogeneity of Elementary Action in the Field — with which the test Structure interacts, being influenced by it and influencing it in turn.
Each InfoStructure has a virtually infinite spatial extension, but its effective boundary is defined by the region where the correlations of the Components of Elementary Action fall below the uncertainty threshold of the Field's random fluctuations. Different Components (Mass, Charge, Spin) may therefore have different effective boundaries. When many InfoStructures overlap, as in the Reality of Forms, their contributions combine and extend the boundaries of the collective organization. A region containing many electrons, for example, exhibits a collective electric charge and generates an electric field far more extensive than that of a single electron.
During the interaction between the test Structure and the structured Field, Potential Energy is progressively transformed into Effective Energy, becoming "incorporated" into the test Structure through the deformation of its organization — a modification of its structure, its form, and its dynamics. For example, the interaction between the organization of the Field that we may describe as correlation of Translation, or potential Motion (Information/Energy of the Field, in terms of potential Fundamental Physical Quantities — pFPQs), and the organization of the InfoStructure (or, more precisely, of the region of the Field that instant by instant supports it), again Translation but as effective Motion of the InfoStructure (Information/Energy of the InfoStructure), progressively produces a variation in the organization of Translation of the InfoStructure — its effective Motion, its inertial Motion, its Kinetic Energy, its momentum, and so forth. Acceleration (Field organization, Potential) manifests as a progressive variation of the inertial Motion of an InfoStructure moving in the Field.
Potential Energy is therefore always relative: it depends on the test Structure and on the entire structured Field, with a limit set by causal connection. It is the Energy of the Field's organization, not the Energy of the InfoStructure. In contrast, Effective Energy is the Energy "in" the Field that constitutes the InfoStructure itself — the internal correlations of Elementary Action that give it identity, effective boundaries, and causal permanence.
The distinction is subtle but essential. Potential Energy expresses the organization of the Field as shaped by all InfoStructures; Effective Energy expresses the organization of the Field that sustains a particular InfoStructure. Potential Energy is the Field's structured Energy "of" the Field; Effective Energy is the structured Energy "in" the Field.
This medium‑/high‑level representation reflects the low‑level dynamical Processes that incessantly occur at the level of individual event‑points. It is the dynamism of the Elementary Field — the Events and the Relations that bind them in the cited dynamical Processes — that transforms the sub‑elementary dynamism of the Field into Turbulence, Potentials, and InfoStructures, and enables their continuous interaction within a geometric/dynamical perspective. In this way, action‑at‑a‑distance and the corresponding classical forces are excluded from the ontological, phenomenological, and dynamical representation of Physical Reality.
Links to the tables of contents of TFNR Paper
