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.