The Theory of Entropicity (ToE) Explains the Constancy of the Speed of Light c in Albert Einstein’s Theory of Relativity (ToR): The Entropic Origin of the Speed of Light c from the Theory of Entropicity (ToE)

The Theory of Entropicity (ToE) Explains the Constancy of the Speed of Light c in Albert Einstein’s Theory of Relativity (ToR)

The Entropic Origin of the Speed of Light c from the Theory of Entropicity (ToE)

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The Theory of Entropicity (ToE) Explains Why the Speed of Light c is a Constant in Einstein’s Theory of Relativity (ToR)

We have previously dwelt on how the Theory of Entropicity (ToE) explains why the speed of light is a constant (c) according to Einstein’s beautiful and revolutionary Theory of Relativity (ToR). Here, we dive deeper into giving the core mechanism for this action in the Theory of Entropicity (ToE) [first formulated by John Onimisi Obidi — Researcher, Investigator, Consultant, Thinker, Physicist, Philosopher, and Humanist — different from the unrelated social media personality of a similar name] that explains Einstein’s constancy of the speed of light in his Theory of Relativity (ToR) - that is, we are providing a deeper version of ToE’s explanation of the "why" behind the "what."

Further Exploratory and Revolutionary Insights of the Theory of Entropicity (ToE) Into Explaining the Constancy of the Speed of Light (c) in Einstein’s Theory of Relativity (ToR).

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Subjects: Physics, Particles & Fields

Contributor : John Onimisi Obidi

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Update Date: 21 Jul 2025

Table of Contents

1. What "You Are Made of the Field" Actually Means

Let's use a better analogy than a movie screen which we have used elsewhere:[1] A whirlpool in a river.

The River: This represents the fundamental Entropic Field. It has an intrinsic property: the maximum speed its current can flow.

The Whirlpool: This represents a stable object—a particle, a clock, an observer. A whirlpool is not a separate "thing" floating in the water; it is a stable, organized pattern of the water itself. Its existence is defined by its structure and its interaction with the surrounding flow.

When we say "you are made of the field,"[1] it means you (and your clock and ruler) are like that whirlpool. You are not an independent entity moving through a passive, empty space. You are a complex, stable pattern of activity within the universe's fundamental entropic field.

Your physical being, the forces holding your atoms together, and the regular processes inside your clock are all manifestations of the rules of this field. Therefore, your properties are not absolute; they are relational and dependent on your interaction with the rest of the field (the river).

2. The ToE Mechanism for Time Dilation and Length Contraction

To explain why time slows and length contracts, we must use the core principles of ToE, which are all based on entropy.

Here is the proposed mechanism, step-by-step.

The Foundational Principle: Existence is a Battle Against Entropy

According to ToE (and standard physics), any organized system—a clock, a ruler, a living cell—is a low-entropy state. To exist, it must constantly work to maintain its structure and order against the universe's natural tendency to dissolve into chaos (the Second Law of Thermodynamics). It does this by processing information and managing entropy flow. Think of it as having an "entropic budget"[2][3][4][5][6] just to remain stable and functional.

Step 1: Explaining Time Dilation (Why Clocks Slow Down)

What is a Clock? A clock is a system designed to perform a highly regular, repeating internal process (a "tick"). This tick could be the swing of a pendulum, the vibration of a crystal, or the transition of a cesium atom.

The "Entropic Cost" of Ticking: For this tick to be regular, the clock must use part of its "entropic budget" to ensure the process repeats identically, fighting off microscopic disorder. This is its normal operating cost while stationary.

The "Entropic Cost" of Motion: According to ToE, "motion" is not passive. Moving through the entropic field means a system is constantly interacting with new regions of the field. This creates an additional and continuous entropic "load" or "stress" on the system. It's like a swimmer not only having to manage their own body heat and energy (internal entropy) but also having to fight the current and drag of the water (external entropic interaction).

The Result of the Theory of Entropicity (ToE): Reallocation of the Budget. The clock still has the same fundamental priority: it must maintain its structural integrity. Faced with this new external entropic load from motion, it must divert resources from its "entropic budget" to deal with it. The work of simply staying intact in the face of this motion takes precedence. Consequently, there is less "budget" available for its primary function—the regular "ticking."

Conclusion of the Theory of Entropicity (ToE): The internal process of the clock—its tick—is forced to run slower. Time dilation is the observable consequence of a system prioritizing its structural integrity over its internal functions when under the entropic stress of motion. Ordinarily, this is not obvious and not readily observable; but it becomes crucial as the speed increases; as the speed increases, it reaches a limit at which it wants to cross the entropic bound, then it is halted, because it cannot go faster than entropy! This is the No-Rush Theorem and also why Einstein's Relativity of the speed of light is constant and why it is the maximum speed of all propagations.

Entropy thus ensures that no interaction can occur faster or slower than Entropy allows, and no propagation can go faster than Entropy permits. This is ToE's No-Rush Theorem[7] in its most encompassing and celebrated form. Thus, Entropy is what actually dictates how fast or slow any motion should be. This conclusion is only natural, unavoidable and inescapable, because since Entropy is what dictates and constrains motion according to the Theory of Entropicity (ToE), then the same Entropy must constrain the speed of motion itself; that is, how fast or slow interactions and propagations and objects can move in the Entropic Field itself.

Step 2: Explaining Length Contraction (Why Rulers Shrink)

What is a Ruler? A ruler is a rigid object. Its length is a stable property defined by the equilibrium distance between its atoms. This equilibrium is a delicate balance of electromagnetic forces, which ToE recasts as constraints within the entropic field.

The "Entropic Headwind": When the ruler moves, it experiences the same entropic stress, but this time it's directional. The front of the ruler is continuously interacting with "new" parts of the field before the back does. This creates a kind of "entropic pressure" or "headwind" that pushes against the front of the ruler.

The Result: A New Equilibrium. The system (the ruler) must find a new stable state to cope with this constant directional pressure. The internal forces readjust to a new, slightly compressed equilibrium in the direction of motion. The atoms are pushed closer together until their repulsive forces are strong enough to balance the new external "entropic headwind."

Conclusion: The ruler physically becomes shorter in its direction of motion. Length contraction is the physical deformation of an object as it re-establishes structural equilibrium under the directional entropic pressure of moving through the field.

Table

This explanation attempts to ground the strange effects of relativity in a physical, causal mechanism rooted in entropy management, rather than leaving them as abstract geometric consequences of a postulate. It is a bold and unproven claim, but it is the kind of deeper explanation that the Theory of Entropicity aims to provide.

References

Obidi, John Onimisi. The Theory of Entropicity (ToE) Simply Explained Qualitatively. Encyclopedia. Available online: https://encyclopedia.pub/entry/58652 (accessed on 20 July 2025).

Obidi, John Onimisi. A Critical Review of the Theory of Entropicity (ToE) on Original Contributions, Conceptual Innovations, and Pathways towards Enhanced Mathematical Rigor: An Addendum to the Discovery of New Laws of Conservation and Uncertainty. Cambridge University; 30 June 2025. https://doi.org/10.33774/coe-2025-hmk6n

Obidi, John Onimisi. Einstein and Bohr Finally Reconciled on Quantum Theory: The Theory of Entropicity (ToE) as the Unifying Resolution to the Problem of Quantum Measurement and Wave Function Collapse. Cambridge University; 14 April 2025. https://doi.org/10.33774/coe-2025-vrfrx

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