Obidi's Mechanism of Spacetime Emergence in the Theory of Entropicity (ToE): A New Foundation of the Emergence of the Classical Properties and Phenomena of Modern Theoretical Physics

1. Foundational Premise

John Onimisi Obidi’s Theory of Entropicity (ToE) proposes a radical rethinking of spacetime and physical reality. Rather than taking spacetime as a pre-existing geometric manifold (as in General Relativity) or assuming particle fields as fundamental (as in standard quantum field theory), Obidi elevates entropy to a primary scalar field, denoted:

$S(x^{\mu })$

This scalar field is defined over spacetime coordinates $x^{\mu }$ but is ontologically prior, meaning that spacetime itself emerges as a manifestation of variations and fluxes in this entropic field.

2. Mechanism of Spacetime Emergence

The core conceptual pillars are:

1. Entropy-Driven Geometry:
   • Local gradients and curvature in $S(x^{\mu })$ give rise to effective spacetime geometry.
   • Mass, energy, and classical gravitational effects are interpreted as organizing principles of information flow within the entropy field.
2. Entropic Force Field Hypothesis (EFFH):
   • Forces, including gravity, are seen as entropic forces arising from the system’s natural tendency to maximize global entropy.
   • Mathematically, the force at point $x^{\mu }$ can be expressed as:
     $F^{\mu }(x)\sim -$

abla^\mu S(x)
]
implying that particles experience motion along the entropy gradient, generating phenomena traditionally attributed to curvature of spacetime.

3. Information-Theoretic Reconstruction:
   • Quantum behavior, spacetime topology, and mass-energy distributions are derivable from entropy dynamics.
   • This positions ToE as a unifying framework connecting thermodynamics, information theory, and gravitational physics.

3. Predictive and Computational Implications

• Using $S(x^{\mu })$ as a generating field, Obidi’s framework derives classical General Relativity effects, e.g., Mercury’s perihelion precession, without invoking Einstein’s curvature tensor explicitly.
• The approach allows for entropy-based quantization schemes, where spacetime geometry itself is discrete and emergent from underlying information states.

4. Philosophical and Ontological Shift

• Time and space are not background parameters but emergent phenomena from entropic evolution.
• Reality is fundamentally informational and statistical, with traditional matter/energy descriptions being secondary approximations of entropy dynamics.

5. Significance in Contemporary Physics

• The ToE proposes a path toward reconciling quantum mechanics with gravity through entropic and information-theoretic unification.
• It challenges established notions of spacetime, offering a post-Einsteinian framework, emphasizing emergence over assumption.

Conclusion

In John Onimisi Obidi’s ToE, spacetime emerges from the primacy of entropy, modeled as a universal scalar field $S(x^{\mu })$. Forces, particles, geometry, and curvature are derived consequences of entropic gradients, making the theory a provocative information-driven re-foundation of modern physics. This positions ToE as both a conceptual and computational framework for understanding the universe from first principles in terms of entropy, information, and emergent geometry.

On the Foundational Declaration of the Theory of Entropicity (ToE): Obidi’s Entropic Reinterpretation of Physical Reality in Comparison with Einstein’s Foundational Revolutions

On the Foundational Declaration of the Theory of Entropicity (ToE):

Obidi’s Entropic Reinterpretation of Physical Reality in Comparison with Einstein’s Foundational Revolutions

Abstract

The history of physics is punctuated not merely by new equations, but by decisive conceptual declarations that redefine the ontological structure of reality. Isaac Newton reinterpreted celestial and terrestrial motion through universal gravitation. Albert Einstein redefined space, time, simultaneity, and gravity through the theories of Special and General Relativity. In recent years, John Onimisi Obidi has proposed the Theory of Entropicity (ToE), an ambitious entropy-centered framework that seeks to reinterpret entropy not as a secondary statistical descriptor, but as the primary ontological field underlying geometry, causality, matter, information, and physical law itself. This paper examines the philosophical, structural, and scientific significance of that declaration. It argues that the Theory of Entropicity constitutes a foundational inversion comparable in intellectual posture to Einstein’s relativistic revolution, while also clarifying the important distinction between conceptual ambition and empirical establishment. The work explores how ToE attempts to transform information geometry into physical spacetime through the Obidi Action, how it reconceptualizes the speed of light as an emergent entropic redistribution limit, and how it positions entropy as the generative substrate of all known physical phenomena.

---

1. Introduction

The progress of physics has never been driven solely by calculation. At critical moments in scientific history, progress has depended upon radical reinterpretations of what reality fundamentally is. Such moments do not merely solve technical problems; they reorganize the conceptual architecture of nature itself.

Newton’s synthesis unified celestial and terrestrial mechanics under universal gravitation. Einstein later dismantled the absolute notions of space and time inherited from Newtonian physics, replacing them with a dynamical spacetime whose curvature governs motion. Quantum mechanics subsequently challenged the notions of determinism, locality, and measurement.

The Theory of Entropicity (ToE), proposed by John Onimisi Obidi, belongs to this category of foundational ambition. Its central declaration is both simple and radical:

Entropy is not secondary to physical reality; entropy is the primary ontological field from which spacetime, geometry, causality, matter, and physical law emerge.

This declaration represents a profound inversion of conventional physical thinking. In standard physics, entropy is generally treated as derivative. Geometry, particles, fields, and interactions are taken as fundamental, while entropy appears as a statistical description of ensembles or informational uncertainty.

The Theory of Entropicity reverses this hierarchy entirely.

In ToE, entropy becomes primary, while geometry and spacetime become emergent manifestations of entropic organization and redistribution.

The significance of this move cannot be understood merely as a modification of existing equations. Rather, it constitutes an attempt at a new metaphysical foundation for physics itself.

---

2. Einstein’s Foundational Declarations and Their Historical Role

To understand the nature of the ToE declaration, one must first appreciate the role of foundational declarations in the history of science.

Einstein’s revolutions were not initially accepted because they were experimentally verified. They were accepted because they introduced new conceptual principles capable of reorganizing disparate physical phenomena into coherent structures.

In Special Relativity, Einstein introduced two decisive postulates:

1. The laws of physics are invariant in all inertial frames.
2. The speed of light is invariant and fundamental.

These declarations forced a reinterpretation of:

• simultaneity,
• time,
• length,
• causality,
• and inertial structure.

In General Relativity, Einstein advanced an even more radical claim:

Gravity is not fundamentally a force but a manifestation of spacetime curvature.

This replaced Newton’s force-based ontology with geometric ontology.

The significance of Einstein’s achievement lies not merely in tensor equations, but in the willingness to redefine what the universe fundamentally is.

---

3. The Decisive Declaration of the Theory of Entropicity (ToE)

The Theory of Entropicity (ToE) attempts a comparably deep foundational reversal.

Its central thesis may be summarized as follows:

Geometry does not generate entropy. Entropy generates geometry.

This statement marks a major departure from twentieth-century physical ontology.

In ToE:

• entropy is not merely thermodynamic disorder,
• entropy is not merely missing information,
• entropy is not merely statistical multiplicity.

Instead, entropy becomes:

• a dynamical field,
• an ontological substrate,
• a generative principle,
• and a physically active structure.

The theory therefore proposes that:

• spacetime curvature,
• motion,
• gravitation,
• causal propagation,
• measurement,
• and quantum collapse

are manifestations of entropy-field dynamics.

This move transforms entropy from a descriptive quantity into a physically causal entity.

---

4. The Entropic Field and the Ontology of Reality

Central to ToE is the introduction of an entropic field:

S(x)

defined over an entropic manifold.

Unlike conventional entropy, which is computed from physical states, the entropic field in ToE generates physical states.

This represents a reversal of conventional physical logic.

Standard physics generally follows the conceptual structure:

Matter → Geometry → Entropy

The Theory of Entropicity (ToE) proposes instead:

Entropy Field → Geometry → Matter

Or, written more descriptively:

In conventional physics, matter is typically regarded as fundamental, geometry emerges from matter distributions, and entropy appears as a secondary thermodynamic or statistical property.

The Theory of Entropicity (ToE) reverses this hierarchy entirely. In ToE, the Entropy Field is fundamental, geometry emerges from the dynamics of the entropic field, and matter itself arises as stabilized entropic structure.

Thus:

• geometry becomes emergent,
• matter becomes stabilized entropic structure,
• and time becomes irreversible entropic sequencing.

This is why ToE belongs not merely to modified gravity theories, but to the category of ontological reconstruction.

---

5. Information Geometry and the Obidi Action

Modern theoretical physics has increasingly explored the relationship between:

• information,
• geometry,
• entropy,
• and spacetime structure.

Information geometry treats probability distributions as points on curved manifolds. Distinguishability measures induce geometric structure.

Several modern approaches already suggest that spacetime may emerge from informational organization.

Examples include:

• entropic gravity,
• holographic duality,
• tensor-network geometry,
• emergent spacetime from entanglement,
• and thermodynamic derivations of Einstein equations.

The Theory of Entropicity extends these tendencies by introducing the Obidi Action.

The Obidi Action attempts to transform informational or entropic geometry into physical spacetime dynamics.

Conceptually, this is analogous to how the Einstein–Hilbert action transforms geometry into gravitational dynamics.

The proposed structure of the Obidi Action may be written approximately as:

Aₒ = ∫ d⁴x √−g 𝓛(S, ∂S, Φ)

where:

• Aₒ represents the Obidi Action,
• g is the determinant of the emergent metric tensor,
• S denotes the Entropic Field,
• ∂S represents the gradients or dynamical variations of the Entropic Field,
• Φ denotes additional emergent matter or interaction sectors,
• and 𝓛 is the entropic Lagrangian density governing the dynamics of the system.

Or, more descriptively:

The proposed structure of the Obidi Action is expressed as an integral over the entropic manifold, where the action depends upon the Entropic Field, its dynamical gradients, and the emergent matter-interaction sectors. Symbolically, the action may be represented as:

Aₒ = ∫ d⁴x √−g 𝓛(S, ∂S, Φ)

This formulation is intended to play a role analogous to the Einstein–Hilbert action in General Relativity, except that the primary dynamical quantity is not spacetime curvature itself, but the Entropic Field from which geometry and physical structure emerge.

The philosophical significance of this move is profound.

It implies that:

• geometry is not primitive,
• information is not abstract,
• and spacetime itself may be the dynamical manifestation of entropy flow.

---

6. The Reinterpretation of the Speed of Light c

One of the most distinctive claims of ToE concerns the speed of light .

In Einsteinian relativity, is fundamental and invariant.

In ToE, however, is interpreted as:

the maximum rate at which the entropic field can reorganize information, correlations, or causal structure.

This means:

• is emergent rather than primitive,
• relativity becomes a regime of entropic dynamics,
• and observed invariance reflects the current state of the entropic manifold.

Under this interpretation, if the field’s redistribution dynamics changed, the effective limiting speed could also change.

This is an audacious claim because it relocates one of the deepest constants in physics from foundational ontology into emergent phenomenology.

---

7. Entropy as the Generator of Geometry

Perhaps the boldest aspect of ToE is the proposal that entropy itself generates geometry.

Einstein’s revolution may be summarized in the following way.

In General Relativity (GR), the conceptual structure may be summarized as:

Gravity → Geometry

That is, gravity is interpreted as the manifestation of spacetime curvature.

The Theory of Entropicity (ToE) proposes a deeper ontological sequence:

Entropy → Geometry → Gravity

In this framework, entropy is treated as the primary physical field. Geometry emerges from the structure and dynamics of the Entropic Field, while gravity itself appears as a secondary manifestation of the resulting geometric and entropic organization.

Or, more descriptively:

Einstein’s General Relativity transformed gravity from a conventional force into a geometric property of spacetime. The Theory of Entropicity seeks to extend this conceptual revolution further by proposing that geometry itself is not fundamental. Instead, geometry emerges from the dynamics of entropy, while gravity arises as a consequence of the resulting entropic-geometric structure. Thus, the ontological hierarchy proposed by ToE becomes:

Entropy → Geometry → Gravity

Under this interpretation, gravity is no longer primary, and spacetime curvature itself becomes an emergent manifestation of deeper entropic processes.

Thus gravity is no longer fundamental.

Instead:

• gravity,
• curvature,
• inertial structure,
• and motion

become consequences of entropic gradients and irreversible redistribution.

This aligns partially with modern entropic gravity proposals, but ToE goes further by treating entropy itself as the ontological substrate rather than merely a thermodynamic effect.

---

8. The Difference Between Conceptual Ambition and Scientific Validation

It is essential, however, to distinguish carefully between:

• foundational ambition, and
• established scientific success.

Einstein’s theories became accepted because they:

• reproduced known physics,
• explained anomalies,
• generated exact equations,
• produced testable predictions,
• and survived experimental scrutiny.

The Theory of Entropicity has not yet reached this stage.

At present, ToE remains:

• a speculative foundational framework,
• partially formalized,
• conceptually original,
• but not experimentally established.

For ToE to mature into accepted physics, it must still:

• rigorously derive Lorentzian spacetime,
• recover Einstein gravity quantitatively,
• reproduce quantum field structures,
• generate unique predictions,
• explain observed constants,
• and survive empirical testing.

These are immense scientific demands.

Thus, the correct assessment is not that ToE has already replaced modern physics, but rather:

ToE is attempting a foundational re-declaration of physics comparable in ambition to Einstein’s conceptual revolutions.

---

9. Why the Theory of Entropicity (ToE) Feels “Einsteinian”

The Theory of Entropicity feels “Einsteinian” not because it reproduces Einstein’s equations, but because it attempts the same kind of conceptual courage.

Most modern theories extend existing frameworks:

• additional symmetries,
• extra dimensions,
• modified interactions,
• or quantized corrections.

ToE instead attempts:

• an ontological inversion.

It asks:

• What if entropy is fundamental?
• What if geometry is emergent?
• What if causality itself is entropic?
• What if time is irreversible at the foundational level?
• What if information and spacetime are manifestations of one deeper field?

Such questions belong to the rare category of theories that attempt to redefine the conceptual basis of physics itself.

---

10. The Philosophical Stakes of the Theory of Entropicity (ToE)

If ToE were ultimately successful, its implications would be enormous.

It would imply:

• that information geometry becomes physically real,
• that entropy is ontologically active,
• that spacetime is emergent,
• that irreversibility is fundamental,
• and that causality is an entropic ordering principle.

This would reshape:

• cosmology,
• quantum theory,
• gravity,
• thermodynamics,
• and even theories of intelligence and consciousness.

The theory therefore operates not merely at the level of mathematical physics, but at the level of natural philosophy.

---

11. Conclusion

The Theory of Entropicity (ToE) represents one of the most ambitious contemporary attempts to reconstruct the foundations of physical reality around entropy as a universal field.

Its central declaration—that entropy is primary and geometry emergent—constitutes a conceptual inversion comparable in spirit to Einstein’s relativistic reinterpretation of space, time, and gravity.

Whether ToE ultimately becomes accepted science or remains speculative metaphysics will depend not on philosophical boldness alone, but on mathematical completion, predictive power, and experimental confirmation.

Nevertheless, the significance of the theory already lies in the scope of its ambition.

Like Einstein before him, Obidi is not merely modifying equations.

He is attempting to redefine what reality fundamentally is.

Definition, Concept, Mathematical Formulation, Physical Interpretation, and Implications of the Obidi Curvature Invariant (OCI) of ln 2 in the Theory of Entropicity (ToE)

 

The Obidi Curvature Invariant (OCI) is ln 2, representing the smallest physically meaningful curvature gap between two distinguishable configurations of the entropic field in the Theory of Entropicity (ToE).

Definition and Concept

In the Theory of Entropicity (ToE), entropy is treated as a continuous physical field rather than a statistical measure. The Obidi Curvature Invariant (OCI) is a fundamental constant, ln 2, which quantifies the minimal curvature difference required for two entropic configurations to be physically distinguishable. It functions as a "quantum of distinguishable curvature," analogous to how Planck’s constant quantizes action in quantum mechanics. 3

Mathematical Formulation

The OCI arises from information-geometric principles. Using metrics like the Fisher–Rao and Fubini–Study, Obidi defined a distinguishability potential on the entropic manifold. The first non-zero minimum of this potential corresponds to ln 2, establishing a coordinate-independent curvature invariant. Distinguishability between two entropic configurations ρ_A(x) and ρ_B(x) is expressed via the relative entropic curvature functional: 2

D(ρ_A || ρ_B) = ∫_Ω ρ_A(x) ln(ρ_A(x)/ρ_B(x)) dV

This functional measures the integrated curvature deformation needed to transform one configuration into another and is invariant under smooth coordinate transformations. 1

Physical Interpretation

The OCI implies that the entropic field is discretely structured at its minimal scale. Two configurations are distinguishable only if their curvature differs by at least a factor of 2:1, corresponding to ln 2 in natural logarithmic units. This establishes a binary structure of information in the universe, where the "bit" is a reflection of the minimal curvature ratio rather than a human convention. 2

Implications

1. Quantization of Curvature: The entropic field admits discrete curvature separations, with ln 2 as the smallest unit. 1
2. Universality: OCI appears in both classical and quantum limits, linking Fisher–Rao and Fubini–Study metrics. 1
3. Thermodynamic Consistency: The Landauer bound ΔE = k_B T ln 2 emerges naturally from the entropic field dynamics, not as an independent postulate. 1
4. Arrow of Time: The finite formation of curvature gaps implies that temporal directionality arises intrinsically from the dynamics of the entropic manifold. 1

 

In summary, the Obidi Curvature Invariant is a foundational constant in ToE that quantizes the minimal distinguishable curvature of the entropic field, providing a geometric and physical basis for information, entropy, and the discrete structure of reality. 2

 

Transformation of Information Geometry Into Physical Spacetime Via an Entropic Action Principle in Obidi's Theory of Entropicity (ToE)

 

The concept of transforming information geometry into physical spacetime via an action principle of an entropic field is the foundational framework of the Theory of Entropicity (ToE), a mathematical architecture formulated by John Onimisi Obidi. In this framework, entropy is treated not as a passive statistical property, but as an active, ontological scalar field $S(x)$ whose dynamics map purely abstract statistical states into the physical fabric of general relativity. [1, 2]

The mechanics of how this transformation occurs rely on a highly structured mathematical progression: [1]

1. The Information-Geometry Substrate

In standard mathematics, information geometry applies differential geometry to probability distributions, using metrics like the Fisher-Rao metric (for classical systems) or the Fubini-Study metric (for quantum states) to measure how distinguishable two states are from one another. [1, 3]

• ToE undergoes an ontological shift. It stops treating these metrics as tools to analyze data and posits that this statistical manifold is the actual underlying substrate of reality ($\mathcal{M}_I, g_I$).
• Distinguishability between information states fundamentally maps to physical distance in the real world. [1, 4, 5, 6]

2. The Obidi Action Principle

To evolve this abstract information manifold into something dynamic, the theory introduces a variational principle called the Obidi Action. This action acts as the fundamental "engine" of the theory, optimizing and driving the flow of the entropic field. [7, 8]

• Minimizing or stationarizing the Obidi Action describes the continuous, irreversible rearrangement of the underlying entropic degrees of freedom.
• The result of varying this action is the Master Entropic Equation (MEE), which serves as the entropic field-theoretic analog to Einstein’s field equations. [2, 7, 9, 10]

3. The $\alpha=0$ Connection & Spacetime Deformation

Information geometry uses Amari-Čencov $\alpha$-connections to describe how probability configurations shift. [2, 5]

• In ToE, the theory isolates the $\alpha=0$ connection, which corresponds strictly to the Levi-Civita connection (the unique torsion-free metric connection used in General Relativity).
• Governed by the Obidi Action, the pure informational Fisher-Rao metric undergoes an entropy-dependent deformation (scaled by a factor such as $e^{S/k_B}$). This transforms abstract statistical curvature into a physical metric-affine geometry. [2, 5]

4. Coarse-Graining and the Emergence of Spacetime [11]

Physical four-dimensional spacetime does not exist fundamentally in this model; it is an emergent, macroscopic illusion. [5, 6]

• Space becomes a literal map of entropic gradients.
• Time is derived strictly from the irreversible flow of entropy.
• Through a process of macroscopic coarse-graining, the deeper, multidimensional entropic metric ($g_{IJ}^{\text{entropic}}$) is projected down into our traditional 4D spacetime metric ($g_{\mu\nu}$).
• The Curvature Transfer Theorem mathematically proves that the Riemannian curvature of Einstein's gravity is simply the thermodynamic pushforward of the deeper informational Riemann tensor. Gravity is therefore revealed to be an emergent entropic constraint rather than a primitive fundamental force. [5, 6, 12, 13, 14]

If you would like to explore this architecture further, please let us know:

• Do you want a breakdown of how the Master Entropic Equation mathematically mirrors Einstein's Field Equations?
• Are you interested in how this theory handles quantum structures, such as through the Vuli-Ndlela path integral?
• Would you like to compare ToE to other emergent gravity theories, like Erik Verlinde's Entropic Gravity? [2, 9, 10, 15, 16]

 

[1] https://medium.com

[2] https://ggnpreprints.authorea.com

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

[4] https://medium.com

[5] https://medium.com

[6] https://osf.io

[7] https://medium.com

[8] https://medium.com

[9] https://medium.com

[10] https://medium.com

[11] https://medium.com

[12] https://encyclopedia.pub

[13] https://www.preprints.org

[14] https://medium.com

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

[16] https://hal.science

 

The transformation of information geometry into physical spacetime via an entropic action principle is a core focus in emergent gravity paradigms, most notably in the Theory of Entropicity (ToE). In these frameworks, spacetime and gravity are not fundamental, but rather macroscopic manifestations of an underlying statistical system governed by information flow. [1, 2, 3, 4]

This transformation typically follows a structured logical progression: [1]

• Information Manifolds: The foundation is built upon statistical manifolds (e.g., using the Fisher-Rao metric or quantum Fubini-Study metric) which measure the "distinguishability" between adjacent quantum or thermodynamic states.
• The Entropic Field: Entropy is elevated from a mere secondary statistical tool to a fundamental ontological scalar field, \(S(x)\). Physical space is viewed as a mapping of entropic gradients, while time emerges from the direction of irreversible entropy flow.
• Action Principle: A variational principle—often referred to as the Obidi Action—governs the dynamics and evolution of this entropic field.
• Curvature Transfer: Just as General Relativity relies on the Einstein-Hilbert action, extremizing the entropic action yields a Master Entropic Equation rather than standard Einstein field equations. In the thermodynamic limit, the abstract curvature of the underlying information manifold is "pushed forward" or projected to become the geometric curvature (Levi-Civita connections) of observable physical spacetime. [1, 2, 3, 4, 5, 6]

 

To explore this further, you might find it helpful to review the ToE Living Review Letters IE for the mathematical Curvature Transfer Theorem, or read about Obidi's Theory of Entropicity on Medium. [1, 2]

Would you like to explore:

• The mathematical derivation linking the Fisher metric to the physical metric tensor?
• How concepts like quantum entanglement entropy or holographic duality relate to this?
• A deeper look into the specific variational principles used?

Let us know how you'd like to narrow down the topic.

Frequently Asked Questions (FAQs) On the Theory of Entropicity (ToE)

 

The Theory of Entropicity (ToE), developed primarily by researcher John Onimisi Obidi, represents a radical shift in theoretical physics by positioning entropy as the fundamental "ontic" field of reality. In this framework, spacetime and gravity are not primary structures but emergent properties of an underlying entropic substrate. [1, 2, 3, 4]

We have compiled a comprehensive Frequently Asked Questions (FAQ) guide in the ToE Canonical Archives Live Websites, detailing the theory's mathematical foundations, relativistic derivations, and its current standing in the scientific community as of May 2026.

Would you like to explore the specific mathematical derivations of the Master Entropic Equation or look into the experimental requirements for testing entanglement delays?

 

Core Conceptual Framework of the Theory of Entropicity (ToE)

 

What is the fundamental premise of the Theory of Entropicity?

 

Standard physics treats entropy as a statistical measure of disorder or uncertainty. ToE inverts this, proposing the Obidi Conjecture: that entropy is a continuous, local, and dynamical scalar field (the Entropic Field) that serves as the causal substrate for all existence. Space, time, and matter are emergent "maps" of entropic gradients.

 

How does ToE explain gravity?

 

ToE rejects gravity as a fundamental force or a fixed geometric curvature. Instead, it defines gravity as 

"entropic pressure". Mass-energy configurations create gradients in the entropic field, and systems naturally move toward higher entropic equilibrium, which we perceive as gravitational attraction.

 

What is the "No-Rush Theorem"?

 

The No-Rush Theorem (NRT) is a foundational principle of ToE establishing that physical interactions cannot occur instantaneously. It posits that the entropic field requires a finite duration to redistribute and synchronize states, providing a thermodynamic origin for causality.

 

Is the speed of light (c) still a constant?

In ToE, the speed of light is not an arbitrary geometric postulate but a derived maximum rate of entropic rearrangement. Relativistic effects like time dilation and mass increase are interpreted as "entropic resistance" (ERP) that occurs when a system approaches this fundamental reconfiguration limit.

 

Core Principles and Postulates of the Obidi Conjecture in the Theory of ...

May 17, 2026 — Core Principles and Postulates of the Obidi Conjecture in the Theory of Entropicity (ToE) * Rather than viewing entropy as an epis...

 

A Brief Historical and Conceptual Introduction to the Foundations of ...

Apr 1, 2026 — 🧠 What Is It? The Theory of Entropicity (ToE) is a radical and emerging framework in theoretical physics, originated by John Onim...

 

Mathematical & Technical Pillars

 

What are the "Master Entropic Equations"?

 

The Master Entropic Equation (MEE), also referred to as the Obidi Field Equations (OFE), serves as the entropic analogue to Einstein's field equations. It governs how the dynamics of the entropic field generate spacetime curvature and motion.

 

What is the Vuli–Ndlela Integral?

 

The Vuli–Ndlela Integral is an entropy-weighted reformulation of Feynman's path integral. By incorporating entropy into the weighting of quantum paths, it naturally embeds irreversibility and the "arrow of time" into quantum mechanics.

 

How does the theory use Information Geometry?

 

ToE bridges information and physics using Amari–Čencov alpha-connections. It integrates the 

Fisher–Rao metric (representing classical entropy curvature) and the Fubini–Study metric (representing quantum entropy curvature) to map how macroscopic spacetime emerges from underlying statistical information.

 

Does ToE replicate Einstein's General Relativity results?

Yes. Papers published on Cambridge Open Engage

 demonstrate that ToE can derive Mercury’s perihelion precession. By using higher-order entropy corrections to Newtonian gravity (incorporating the Unruh effect and Holographic Principle), the framework arrives at the identical 43 arcseconds per century shift calculated by Einstein.

 

On the Conceptual and Mathematical Foundations of the Theory ...

At its core, the theory reformulates the speed of light as the maximum rate of entropic rearrangement, deriving relativistic and q...

 

The Theory of Entropicity (ToE): An Entropy-Driven Derivation of ...

We present a novel derivation of the perihelion precession (shift) of Mercury using the Entropic Force-Field Hypothesis (EFFH), no...

 

 

Academic Status & Future Outlook

Is the Theory of Entropicity mainstream?

 

Not yet. As of May 2026, ToE remains an 

emerging, radical theoretical proposal. While it is documented in academic repositories like SSRN and Cambridge Open Engage, it is not yet part of the established physics curriculum.

What is the Alemoh–Obidi Correspondence?

 

The Alemoh–Obidi Correspondence (AOC) is a recorded intellectual exchange (August 2024 – April 2026) between Daniel Moses Alemoh and John Onimisi Obidi. It serves as a developmental record for the theory's logical constructions, focusing on "The Question of c" and the entropic emergence of causal order.

 

Can the theory be tested?

The framework predicts finite formation times for quantum entanglement and specific attosecond delays in wave-function collapse. Proponents suggest these can be verified through high-precision quantum measurement experiments to determine if "No-Rush" temporal constraints exist as predicted.

 

How does ToE relate to consciousness?

The theory includes a speculative extension called 

Ontodynamics, which treats consciousness as an emergent property of "self-referential entropic loops". It proposes a Self-Referential Entropy (SRE) Index

 to quantify the degree of awareness based on a system's internal vs. external entropy flows.

 

The Theory of Entropicity (ToE) Living Review Letters Series

May 4, 2026 — Abstract. This Letter presents the foundational thesis of the Theory of Entropicity: that entropy is not a derived statistical qua...

 

ToE Living Review Letters IC:

Apr 26, 2026 — Abstract. This Letter [Letter IC in the Theory of Entropicity (ToE) Living Review Letters Series] formally presents a comprehensiv...

 

The Theory of Entropicity (ToE) is an emerging, non-mainstream framework in theoretical physics that redefines entropy as the fundamental, dynamic field of reality rather than a mere statistical measure of disorder. First proposed by researcher John Onimisi Obidi, the theory seeks to unify thermodynamics, general relativity, and quantum mechanics by treating spacetime, gravity, and the speed of light as emergent properties of this underlying entropic substrate. [1, 2, 3]

The following Frequently Asked Questions (FAQ) detail the core mechanics, mathematical concepts, and current scientific standing of ToE. [2, 4, 5]

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Core Conceptual FAQs

What is the fundamental premise of the Theory of Entropicity?

In classical and modern physics, entropy is viewed as an epistemic "afterthought"—a statistical bookkeeping tool to measure uncertainty or disorder. ToE completely inverts this hierarchy. It posits that an "ontological scalar field" (the Entropic Field) permeates all of existence. Space, time, matter, and forces are not the stage upon which events happen; they are structural ripples and emergent maps generated by the flow and constraints of this field. [1, 6]

How does ToE explain the constancy of the speed of light ($c$)?

Instead of treating $c$ as an absolute geometric postulate as Einstein did, ToE derives it. Within ToE, the speed of light is the maximum rate at which the entropic field can rearrange or redistribute information and energy. Relativistic effects like time dilation and length contraction are physical consequences of a system's resistance to entropic flux, occurring because the instruments used to measure them are embedded in the same entropic medium. [1, 7, 8, 9, 10]

What is the "No-Rush Theorem"?

The No-Rush Theorem is a foundational principle of ToE establishing that physical interactions cannot occur instantaneously. Every process requires a finite, non-zero duration for the entropic field to redistribute and synchronize states, providing a fundamental thermodynamic origin for causality and the universal speed limit. [1, 10, 11]

How is gravity explained if it isn't a fundamental force?

ToE rejects both the Newtonian concept of gravity as an attractive force and the Einsteinian model of gravity as the literal bending of a spacetime fabric. Instead, gravity is viewed as "entropic pressure" or emergent gradients. Matter moves toward massive objects because the entropic field naturally reconfigures itself to maximize flow and achieve informational equilibrium. [1, 2, 6]

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Mathematical & Framework FAQs

What mathematical equations govern the Theory of Entropicity?

ToE moves away from pure standard Riemannian geometry to embrace information geometry. Its core frameworks include: [12, 13]

• The Obidi Action: A variational principle encoding the dynamics of the universal entropy field.
• The Master Entropic Equation (MEE): Also known as the Obidi Field Equations (OFE), this acts as the entropic equivalent to Einstein's field equations.
• The Vuli–Ndlela Integral: An entropy-weighted reformulation of Feynman's path integral designed to naturally embed irreversibility and temporal asymmetry into quantum mechanics.
• Amari–Čencov $\alpha$-connections: Used alongside Fisher–Rao and Fubini–Study metrics to map how macroscopic spacetime curvature emerges from the underlying statistical information manifold. [10, 13, 14, 15]

Has ToE successfully replicated any proven physics calculations? [10]

Yes, papers filed under the ToE framework have attempted to replicate benchmark relativistic derivations. For example, the Theory of Entropicity research on Cambridge Open Engage outlines an alternative derivation of Mercury’s perihelion precession. By using higher-order entropy corrections to Newtonian gravity (incorporating the Unruh effect and the Holographic Principle), the framework arrives at the identical 43 arcseconds per century shift derived by Einstein in 1915. [10, 16]

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Scientific Standing & Academic Status

Is the Theory of Entropicity widely accepted by physicists?

Not yet. ToE is an early-stage, radical theoretical framework and is not yet part of established or widely accepted mainstream physics. While some papers have been hosted on academic repositories like Cambridge Open Engage and Axiomatic / OSF Preprints, it remains a novel proposal undergoing foundational mathematical development. [2, 4, 12, 17, 18]

Can the Theory of Entropicity (ToE) be experimentally tested or falsified? [19]

Proponents of ToE note that the framework allows for experimental falsification, separating it from entirely unprovable mathematical hypotheses. Specifically, researchers point to the potential for testing the theory through attosecond measurements of quantum entanglement delays to verify if the "No-Rush" temporal constraints operate exactly as predicted by the entropic field. [10, 19]

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If you want to dig deeper into the mechanics of ToE, let me know if you would like to explore the mathematical transition from information geometry to Einstein's equations, review the philosophical concept of Ontodynamics, or see a breakdown of the Alemoh-Obidi Correspondence. [6, 8, 15]

 

[1] https://medium.com

[2] https://medium.com

[3] https://medium.com

[4] https://encyclopedia.pub

[5] https://medium.com

[6] https://medium.com

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

[8] https://medium.com

[9] https://medium.com

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

[11] https://medium.com

[12] https://osf.io

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

[14] https://encyclopedia.pub

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

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

[17] https://medium.com

[18] https://encyclopedia.pub

[19] https://medium.com

 

The Theory of Entropicity (ToE), pioneered by researcher John Onimisi Obidi in 2025, is a theoretical framework that proposes entropy is not merely a statistical measure of disorder, but the fundamental, dynamic field of reality from which space, time, gravity, and quantum mechanics all emerge. [1, 2]

 

Frequently Asked Questions (FAQ)

Q: What is the main difference between traditional physics and the Theory of Entropicity?

A: Traditional physics treats space and time as a fixed, foundational background stage where physical events occur. ToE turns this on its head, proposing that spacetime is actually an emergent property resulting from the geometry of how entropy is distributed and flows across the universe. [1, 2, 3]

Q: How does ToE explain the speed of light?

A: Instead of treating the speed of light \(c\) as an arbitrary universal postulate, ToE interprets it as the maximum rate at which the underlying entropic field can reorganize and redistribute information across space. In this framework, no physical process can occur instantaneously. [1, 2]

Q: Does ToE disagree with Einstein’s Theory of General Relativity?

A: ToE does not invalidate Einstein’s results, but rather re-derives them as "entropic inevitabilities". Phenomena like mass increase, time dilation, and length contraction are explained as the physical consequences of the universe's resistance to entropic flux, rather than strict kinematic features of space. [1, 2]

Q: What is the "No-Rush Theorem"?

A: The No-Rush Theorem establishes a universal lower bound on causal intervals, dictating that no physical change in state or interaction can happen instantaneously. Everything takes a finite amount of time to unfold because the underlying entropic field governs the pacing and transmission of these interactions. [1, 2, 3]

To dive deeper, you can explore the core conceptual foundations and far-reaching implications outlined in the Introduction to the Theory of Entropicity on Medium.

Would you like to explore how ToE reinterprets gravity, or would you prefer to learn more about the No-Rush Theorem and time? [1]