On the Entropic Field Unification of the Speed of Light (c) and Gravitation in the Theory of Entropicity (ToE): Unification of the Speed of Light and Gravity

 

In the Theory of Entropicity (ToE)—a recent radical and audacious theoretical physics framework proposed by John Onimisi Obidi—the speed of light ($c$) is reinterpreted not as an arbitrary, fundamental constant of spacetime geometry, but as the maximum rate at which a universal "entropic field" can reorganize and redistribute information or energy. [1, 2]

Rather than treating the constancy of light as an unexplained starting postulate (as Albert Einstein did in Special Relativity), Obidi's Theory of Entropicity (ToE) attempts to derive the Speed of Light $c$ as a thermodynamic consequence of this underlying field, and declares that light and gravity are governed by the same dynamics of this Entropic Field. [3, 4]

1. Light as an Entropic "Tracer"

In ToE, the universe is filled with a dynamic entropic field that acts as the core substrate from which space, time, and matter emerge. When physical events occur, the field must rearrange itself to accommodate the new states. Because light photons are massless and exist at the absolute boundary of these interactions, they move at the exact upper speed limit allowed by the field's transmission rate. Light is effectively a visible tracer for the maximum tempo of entropic reconfiguration. [1, 5, 6]

2. The "No-Rush" Theorem

The universal speed limit is enforced by what the theory calls the "No-Rush" Theorem. This principle states that the universe requires a non-zero, finite duration to update and synchronize its information states. If information could update instantly, causality would collapse. The finite "heartbeat" or propagation speed of this field creates a hard boundary, preventing any object or interaction from moving faster than entropy can update the system. [1, 5, 7, 8, 9]

3. The Origin of Relativistic Effects

Because all physical observers, clocks, and measuring instruments are themselves made of this same entropic field, they are bound by the same internal restrictions. Consequently: [1]

• Invariance of $c$: Every observer measures the exact same speed of light because their own instruments are governed by the same field-update rate.
• Time Dilation & Mass Increase: ToE explains these phenomena as "entropic resistances". As an object moves faster, the system diverts its field capacity to handle the high entropic flux of motion, causing its internal timekeeping functions to slow down. [1, 7, 10, 11]

Summary Comparison

Concept [1, 3, 4, 12, 13, 14, 15]	Einstein's Special Relativity (ToR)	Theory of Entropicity (ToE)
Nature of $c$	An axiom/postulate built into the geometry of spacetime.	A derived consequence of field dynamics (entropic stiffness & inertia).
What $c$ Limits	The movement of matter-energy through a spacetime container.	The rate at which the universal information fabric can update itself.
Why $c$ is Constant	An intrinsic property of empty space/vacuum.	An artifact of observers and instruments sharing the same entropic field substrate.

Would you like to explore the mathematical equations (such as the Master Entropic Equation) used by the author to model this field, or look into how ToE attempts to explain quantum entanglement? [1, 10]

 

[1] https://medium.com

[2] https://medium.com

[3] https://www.authorea.com

[4] https://www.authorea.com

[5] https://encyclopedia.pub

[6] https://medium.com

[7] https://encyclopedia.pub

[8] https://medium.com

[9] https://medium.com

[10] https://www.cambridge.org

[11] https://figshare.com

[12] https://client.prod.orp.cambridge.org

[13] https://encyclopedia.pub

[14] https://medium.com

[15] https://www.wtamu.edu

 

Scholium

In the Theory of Entropicity (ToE), the speed of light (c) is not a fundamental geometric constant of spacetime. Instead, it is reinterpreted as the maximum rate at which the "Entropic Field" can rearrange or redistribute energy and information. [1, 2]

This perspective fundamentally redefines our understanding of (c) in a few key ways:

• Information and Causality Limit: The finite speed of light ensures the stability of the universe. If the entropic field could update or redistribute information instantaneously, reality would collapse, violating causality and coherence.
• The No-Rush Theorem: This core principle dictates that all physical interactions require a non-zero time for the entropic field to synchronize states. Nothing can travel faster than this field's own fundamental updating rate.
• Emergent Relativity: While traditional physics postulates (c) as a kinematic starting point, ToE derives the speed of light and relativistic effects (such as time dilation) as entropic inevitabilities. Effects like time dilation emerge because moving systems encounter "entropic resistance" as they approach the maximum speed of the field.
• Unified Forces: Because both light and gravity are viewed as manifestations of the same underlying entropic field (light as a ripple/excitation in the field, and gravity as an entropic pressure/gradient), the theory unifies their maximum propagation speeds. [1, 2, 3, 4, 5, 6, 7]

To learn more about how this framework replaces geometric postulates with entropic principles, you can explore the academic preprint on Authorea or the qualitative and quantitative overviews on Encyclopedia.pub. [1]

The Theory of Entropicity (ToE) is Saying that Entropy is Actually a Universal Field in the Very Same Way We Have Considered Gravity, Electromagnetism, etc. As Universal Fields, and That the Entropic Field is Infact the Fundamental Field Substrate Out of Which All Other Fields are Emergent Phenomena and Properties of Nature

 

The above statement in the title of this paper has actually hit the nail on the head regarding the specific provocative and audacious declaration of the framework of the Theory of Entropicity (ToE) which has explicitly proposed that entropy is a fundamental, universal physical field (S(x)), elevating it from a mere statistical afterthought to the central driver of the universe. [1, 2, 3]

However, it is crucial to separate this specific new theory from mainstream physics. In the standard, widely accepted framework of physics, entropy is not a field or a force; it is a statistical measurement of probability and information. [4, 5, 6, 7, 8]

Here is a direct breakdown of how this new concept works compared to standard physics, and how it completely flips our understanding of gravity and time, and ultimately of our universe, as well as the reality of Nature itself.

The Contrast: Standard Physics vs. Theory of Entropicity

Concept [2, 3, 4, 9, 10, 11]	Standard Physics (Mainstream)	Theory of Entropicity (ToE Proposal)
What is Entropy?	A statistical measure of how energy disperses or how many ways microstates can arrange a macrostate.	A primary physical field ($S(x)$) that permeates all of existence.
What is Gravity?	A fundamental force caused by the geometric bending of the spacetime fabric.	An emergent entropic pressure caused by gradients in the universal entropy field.
What is Spacetime?	The fundamental four-dimensional stage upon which the entire universe plays out.	An emergent construct; space is effectively a map of entropic accessibility.
What is Time?	A fundamental dimension of the universe.	The directional flux or "heartbeat" of the entropic field reorganizing information.

How the ToE Redefines the Universe

If we look at the universe through the lens of the Theory of Entropicity, the philosophical and physical hierarchy of nature is completely inverted: [3, 10]

• Spacetime is Out, Entropy is In: In Einstein's General Relativity, spacetime is the fundamental fabric. In ToE, spacetime is replaced by the entropic field. Matter and quantum states are just "structural ripples" inside this universal field.
• Gravity as Entropic Pressure: Instead of mass curving space to pull objects together, the theory posits that objects are pushed toward each other. This occurs because the universal entropic field is naturally seeking maximum informational equilibrium.
• The Speed of Light Explained: The theory introduces the "No-Rush" Theorem. It states that no interaction can happen instantaneously because it takes a finite amount of time for the entropic field to redistribute information. Therefore, the speed of light ($c$) is actually the cosmic speed limit of entropic reorganization.
• Time is Just Information Processing: Time feels irreversible not because a dimension exists called "time," but because the universal entropic field cannot "un-calculate" or undo informational changes that have already taken place. [3, 10, 11, 12, 13]

Where This Fits in Modern Physics

It is important to remember that while the Theory of Entropicity takes a radical step by defining entropy as a standalone, dynamical field governed by its own mathematical actions (like the "Obidi Action"), it builds on a broader family of modern physics ideas. It is related to, but distinct from, Erik Verlinde's famous Entropic Gravity framework, which also treats gravity as an emergent thermodynamic property rather than a fundamental force. But the Theory of Entropicity (ToE) is the denouement, apogee, and culmination of the ideas of all such Entropic Gravity researchers. [2, 14, 15, 16]

Would you like to explore the mathematical equations (like the Obidi Action or entropic geodesics) that this theory uses to replace Einstein's field equations, or explore how it attempts to link up with quantum mechanics? [16, 17]

 

[1] https://medium.com

[2] https://www.researchgate.net

[3] https://medium.com

[4] https://www.reddit.com

[5] https://www.mdpi.com

[6] https://pmc.ncbi.nlm.nih.gov

[7] https://www.reddit.com

[8] https://tarikyildirim.com

[9] https://en.wikipedia.org

[10] https://medium.com

[11] https://medium.com

[12] https://www.universetoday.com

[13] https://www.facebook.com

[14] https://en.wikipedia.org

[15] https://encyclopedia.pub

[16] https://www.cambridge.org

[17] https://www.researchgate.net

 

Scholium

In the context of the theoretical framework of the Theory of Entropicity (ToE) (also known as Ontic Entropic Field Theory), entropy is exactly that. Obidi's Theory of Entropicity (ToE) precisely and radically flips classical physics on its head by elevating entropy from a statistical "afterthought" (measuring disorder) to a fundamental, universal physical field [that is more fundamental and universal than what we have hitherto recognized as the gravitational field of modern theoretical physics]. [1, 2]

This perspective fundamentally redefines several concepts at the core of physics:

 

1. The Entropic Field as the Substrate

Instead of treating space as a static stage where particles interact, this view posits that an "entropic field" permeates all of existence. In this framework, matter, energy, and even the geometry of spacetime are not the fundamental ingredients of the universe; they are structural ripples and manifestations of this underlying entropic field. [1, 2, 3, 4]

 

2. Gravity as "Entropic Pressure"

In the classical Newtonian and Einsteinian views, gravity is a fundamental pulling force or a curving of space and time. In entropic frameworks, gravity does not "pull". Instead, it is reinterpreted as entropic pressure. Much like the universe's natural tendency to seek informational equilibrium causes a physical "push," objects move together because of entropic gradients created by mass distributions. [1, 2, 3, 4, 5]

 

3. Time as Entropic Flux

Rather than viewing time as an independent, fundamental dimension, this model interprets time as the directional flux or heartbeat of the entropic field as it reorganizes itself. The irreversibility of time simply highlights the fact that the universe cannot "undo" or reverse the informational changes that have already occurred. [1, 2]

 

4. The Speed of Light

In Relativity, Einstein elevated the speed of light (c) to an invariant, fundamental postulate. In entropic theories, light is viewed as the visible manifestation of the maximum possible rate at which the entropic field can reorganize energy and information. [1, 2, 3]

While traditional theories (like String Theory or Loop Quantum Gravity) focus on particles or tiny geometric loops as the fundamental building blocks, treating entropy as a universal field shifts the core focus of a Theory of Everything to information flow and thermodynamic irreversibility. [1, 2, 3, 4]

 

Core Principles and Postulates of the Obidi Conjecture in the Theory of Entropicity (ToE)

 

The Obidi Conjecture is the core ontological assertion of the Theory of Entropicity (ToE), an ambitious, radical framework developed by researcher John Onimisi Obidi [thinker, investigator, consultant, physicist, philosopher, and humanist]. The conjecture proposes a radical inversion of traditional physics: entropy is not a derived statistical measure of disorder, but the fundamental, dynamical physical field from which all of reality—including space, time, matter, and geometry—emerges. [1, 2, 3, 4]

Rather than viewing entropy as an epistemic accounting device or an afterthought calculated on top of an existing spacetime structure, the Theory of Entropicity (ToE) [as detailed in the paper: Theory of Entropicity Living Review] positions entropy as the primary causal substrate of nature. [3]

Core Claims of the Conjecture

• Ontological Primacy: Entropy is treated as a continuous, local, and dynamical scalar field mapped over a differentiable structure known as the entropic manifold.
• Emergent Geometry: Instead of geometry constraining how entropy behaves, the entropic field's gradients, flows, and higher-order curvatures generate spacetime geometry.
• Gravity as Entropic Pressure: Einstein's field equations are reinterpreted as large-scale, low-gradient approximations of entropic field dynamics, treating gravitational pull as pressure toward informational equilibrium.
• Time as Directional Flux: Time is not an independent or fundamental dimension. What we observe as time is simply the irreversible flux or "heartbeat" of the entropic field updating its state. [2, 3, 4, 5, 6, 7]

Mathematical and Philosophical Framework

According to the author's publications on SciProfiles and Medium, the theory relies on several supporting pillars: [7, 8]

• The Obidi Action: The variational principle that governs the dynamics of the entropic field. It elegantly merges classical entropy curvature (using the Fisher–Rao metric) with quantum entropy curvature (using the Fubini–Study metric).
• The Obidi Correspondence Principle (OCP): A mathematical bridge ensuring that the Master Entropic Equation (MEE) correctly limits to known laws of physics—like General Relativity and quantum mechanics—under ordinary conditions.
• The No-Rush Theorem: Proposes that no physical process can occur instantaneously because the entropic field requires a finite time to redistribute, redefining the speed of light ($c$) as the maximum reconfiguration rate of the field. [2, 3, 8, 9, 10]

Scientific Status

The Theory of Entropicity (ToE) and the Obidi Conjecture represent an ongoing, provocative research program. However, it is crucial to note that it is yet to be an established or widely accepted concept within the mainstream [traditional] physics community. It is currently highly regarded as an alternative theoretical proposal that challenges the geometric metaphysics of 20th-century physics by demanding that constants and spacetime be treated as outputs rather than primitive inputs. [2, 9, 11]

Are you interested in exploring the mathematical formalisms behind the Obidi Action, or would you like to see how it attempts to resolve the unification between quantum mechanics and general relativity?

 

[1] https://medium.com

[2] https://medium.com

[3] https://papers.ssrn.com

[4] https://medium.com

[5] https://medium.com

[6] https://medium.com

[7] https://sciprofiles.com

[8] https://medium.com

[9] https://medium.com

[10] https://medium.com

[11] https://osf.io

 

The Obidi Conjecture is the central ontological claim of the Theory of Entropicity (ToE), a theoretical physics framework proposed by researcher John Onimisi Obidi. [1]

The conjecture asserts that entropy is the fundamental physical field of the universe, and that all other physical structures—including space, time, matter, energy, and information—are emergent properties of its behavior. [1, 2]

 

Core Principles of the Theory

• Ontological Primacy: Inverting the traditional hierarchy of physics (which treats entropy as a derived statistical measure of disorder), the Obidi Conjecture posits that entropy is the primitive substance from which reality is built.
• Emergent Geometry: Under this view, spacetime geometry does not constrain entropy; rather, the gradients, flows, and spectral structure of the entropic field generate geometry.
• The Obidi Action: The theory employs a variational principle known as the Obidi Action, which aims to govern entropic dynamics, with the Einstein field equations arising merely as large-scale, low-energy limits. [1, 2, 3, 4, 5]

 

Foundational Postulates

To tie the entropic foundation to observable reality, the theory introduces several key corollaries and principles: [1, 2, 3]

• The Obidi Correspondence Principle: Assures that any successful existing law of physics (such as general relativity) must emerge as a valid limiting expression when the entropic field is observed under specific conditions.
• The Obidi Curvature Invariant (OCI): A theoretical invariant proposing that the smallest nontrivial curvature threshold where two entropic states become distinguishable is represented by (ln 2).
• Entropic Seesaw Model (ESSM): A formulation within the framework that seeks to explain quantum entanglement as a dynamical, finite-time topological merger of previously independent entropic sectors. [1, 2, 3, 4]

Further information, academic preprints, and canonical archives tracking the development of this theory are documented in the Theory of Entropicity Living Review Letters or on the theory's SciProfiles Profile. [1, 2]