>A Comparative Analysis of Temporal Interpretation in Standard Physics and Reactive Substrate Theory (RST)

A Comparative Analysis of Temporal Interpretation in Standard Physics and Reactive Substrate Theory (RST)

Abstract

This article presents a technical comparison between Richard Feynman’s standard-physics explanation of time and the interpretation proposed by Reactive Substrate Theory (RST). While Feynman’s framework treats time as a coordinate embedded in statistical and relativistic formalisms, RST reinterprets temporal behavior as an emergent property of the mechanical evolution of a nonlinear Substrate field S. The analysis highlights points of agreement at the phenomenological level and identifies fundamental divergences in ontology, causality, and the origin of the arrow of time.

1. Introduction

Richard Feynman’s pedagogical explanations of time emphasize entropy, causality, and the geometric structure of spacetime. In contrast, RST proposes that time is not a primitive coordinate but a derived measure of the rate at which the Substrate relaxes toward equilibrium. This paper examines how each framework addresses the nature of time, the arrow of time, and relativistic temporal effects.

2. Feynman’s Framework for Time

Feynman’s interpretation of time is grounded in three major components of modern physics:

  • Thermodynamics: The arrow of time is defined by the monotonic increase of entropy in macroscopic systems.
  • Relativity: Time is a coordinate in spacetime whose rate depends on velocity and gravitational potential.
  • Quantum Mechanics: Microscopic laws are time-symmetric; particles do not intrinsically distinguish past from future.

In this view, time is a parameter inserted into the equations of motion, and its directionality is a statistical consequence of initial conditions.

3. RST’s Mechanical Interpretation of Time

Reactive Substrate Theory replaces the abstract notion of time with a mechanical quantity derived from the evolution of the Substrate field S. Time is defined as the rate at which the Substrate transitions between states under the dynamics of the master equation: 

(∂t² S − c² ∇² S − μ S + β S³) = J(x,t)

Within this framework:

  • Time is emergent: It arises from the relaxation and oscillation of the Substrate.
  • The arrow of time is mechanical: It reflects irreversible dissipation of tension in S, not entropy.
  • Temporal dilation is impedance-based: Changes in substrate density or motion alter the effective stiffness of the medium, slowing internal oscillations.

4. Comparative Analysis

Conceptual Category Feynman / Standard Physics Reactive Substrate Theory (RST)
Ontological status of time Fundamental coordinate in spacetime; independent variable in equations. Derived quantity representing the rate of mechanical evolution of S.
Origin of the arrow of time Statistical increase of entropy in macroscopic systems. Irreversible dissipation of substrate tension; mechanical relaxation.
Microscopic time symmetry Equations are time-reversal symmetric; arrow emerges statistically. Local dynamics of S are symmetric; global relaxation breaks symmetry.
Relativistic time dilation Result of spacetime geometry and Lorentz transformations. Result of changes in substrate impedance affecting soliton oscillation rates.
Nature of the vacuum Empty space with fields defined upon it. Elastic medium with density, stiffness, and nonlinear response.

5. Discussion

The two frameworks agree on observable temporal phenomena—such as dilation, ordering of events, and the effective arrow of time—but diverge sharply in their foundational assumptions. Feynman’s interpretation relies on statistical mechanics and geometric spacetime, whereas RST grounds temporal behavior in the mechanical properties of a finite-strength medium. In RST, entropy is not the cause of time’s direction but a macroscopic indicator of underlying mechanical relaxation.

6. Conclusion

RST and Feynman’s standard-physics explanation of time converge on empirical predictions but differ fundamentally in ontology. Feynman treats time as a coordinate embedded in abstract laws, while RST treats time as an emergent mechanical property of the Substrate. This distinction leads to different interpretations of the arrow of time, the nature of temporal symmetry, and the physical meaning of relativistic effects. RST thus provides a unified mechanical alternative to the statistical and geometric foundations of conventional temporal theory.

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