How Does the Theory of Entropicity (ToE) Explain the Constancy of the Speed of Light (c) in Einstein’s Theory of Relativity (ToR)?

The Theory of Entropicity (ToE) explains the constancy of the speed of light (c) as a consequence of the finite maximum rate at which the fundamental entropic field can redistribute information and cause changes in the universe.

Einstein’s Theory of Relativity (ToR) postulates this constancy of the speed of light (c) as a foundational axiom; ToE attempts to provide a physical, thermodynamic mechanism for why this limit exists and is universal for all observers.

Here’s how the explanation works within the ToE framework

Entropy as the Fundamental Field:

ToE posits that the universe is governed by a dynamic, physical entropic field, not just a statistical measure. All physical processes, interactions, and even the structure of spacetime emerge from this field’s dynamics.

The Maximum Propagation Rate:

The entropic field cannot update or reconfigure itself instantaneously; this process takes a finite amount of time. The maximum speed at which any disturbance or information can propagate through this field is the constant c, what we measure as the speed of light. Light, as a massless excitation, simply travels at this inherent “speed limit” of the underlying reality.

The No-Rush Theorem:

This principle states that no physical interaction or signal can outrun the entropic field’s ability to establish the necessary conditions for that interaction to occur. All matter, interaction and radiation are bound by this shared causal structure (called the “entropic cone” in the Theory of Entropicity (ToE)), meaning everything must adhere to the same universal speed limit.

Observer Self-Consistency:

The constancy of the speed of light c for all observers arises because the observers themselves, their clocks, and their measuring devices are also made of and governed by this same entropic field. When an observer moves at high speed, their internal physical processes (like the ticking of a clock or the length of a ruler) are physically altered by their motion through the entropic field (time dilation and length contraction). These physical changes precisely transform from within the entropic field in order to ensure that the measured value of the speed of light always yields the same result, c, for all inertial frames.

Derivation, Not Postulation:

In essence, ToE shifts the explanation from “c is constant, and these are the consequences” (Einstein’s postulate) to ToE’s formulation that “the universe’s information flow has a maximum speed c, and this causes relativistic effects like time dilation, which in turn guarantees the constancy of the measurement of c”. Thus, the constancy of the speed of light is explained in ToE as a thermodynamic necessity and a consequence of the underlying entropic field’s intrinsic propagation limit, rather than an unexplained fundamental axiom. For more details, explore the various research articles and paper below on the Theory of Entropicity (ToE).

References

Obidi, John Onimisi. (12th November, 2025). On the Theory of Entropicity (ToE) and Ginestra Bianconi’s Gravity from Entropy: A Rigorous Derivation of Bianconi’s Results from the Entropic Obidi Actions of the Theory of Entropicity (ToE). Cambridge University. https//doi.org/10.33774/coe-2025-g7ztq
John Onimisi Obidi. (6th November, 2025). Comparative analysis between john onimisi obidi’s theory of entropicity (toe) and waldemar marek feldt’s feldt–higgs universal bridge (f–hub) theory. International Journal of Current Science Research and Review, 8(11), pp. 5642–5657, 19th November 2025. URL: https: //doi.org/10.47191/ijcsrr/V8-i11–21.
Obidi, John Onimisi. 2025. On the Conceptual and Mathematical Foundations of the Theory of Entropicity (ToE): An Alternative Path toward Quantum Gravity and the Unification of Physics. Cambridge University. Published October 17, 2025. https://doi.org/10.33774/coe-2025-1dsrv
Obidi, John Onimisi (17th October 2025). On the Conceptual and Mathematical Foundations of the Theory of Entropicity (ToE): An Alternative Path toward Quantum Gravity and the Unification of Physics. Figshare. https://doi.org/10.6084/m9.figshare.30337396.v2
Obidi, John Onimisi. 2025. A Simple Explanation of the Unifying Mathematical Architecture of the Theory of Entropicity (ToE): Crucial Elements of ToE as a Field Theory. Cambridge University. Published October 20, 2025. https://doi.org/10.33774/coe-2025-bpvf3
Obidi, John Onimisi (15 November 2025). The Theory of Entropicity (ToE) Goes Beyond Holographic Pseudo-Entropy: From Boundary Diagnostics to a Universal Entropic Field Theory. Figshare. https://doi.org/10.6084/m9.figshare.30627200.v1
Obidi, John Onimisi. Unified Field Architecture of Theory of Entropicity (ToE). Encyclopedia. Available online: https://encyclopedia.pub/entry/59276 (accessed on 19 November 2025).
Obidi, John Onimisi. (4 November, 2025). The Theory of Entropicity (ToE) Derives Einstein’s Relativistic Speed of Light © as a Function of the Entropic Field: ToE Applies Logical Entropic Concepts and Principles to Derive Einstein’s Second Postulate. Cambridge University. https://doi.org/10.33774/coe-2025-f5qw8-v2
Obidi, John Onimisi. (28 October, 2025). The Theory of Entropicity (ToE) Derives and Explains Mass Increase, Time Dilation and Length Contraction in Einstein’s Theory of Relativity (ToR): ToE Applies Logical Entropic Concepts and Principles to Verify Einstein’s Relativity. Cambridge University. https://doi.org/10.33774/coe-2025-6wrkm
HandWiki contributors, “Physics:Theory of Entropicity (ToE) Derives Einstein’s Special Relativity,” HandWiki, https://handwiki.org/wiki/index.php?title=Physics:Theory_of_Entropicity_(ToE)_Derives_Einstein%27s_Special_Relativity&oldid=3845936

Further Resources on the Theory of Entropicity (ToE):

Theory of Entropicity (ToE) by John Onimisi Obidi

How Does the Theory of Entropicity (ToE) Explain the Constancy of the Speed of Light (c) in Einstein’s Theory of Relativity (ToR)?