Collected Works on the Theory of Entropicity (ToE) — Volume 1 (Version 1.0)

The "Collected Works on the Theory of Entropicity (ToE)" refer to writings by John Onimisi Obidi, a recent framework proposing entropy as the fundamental field of reality, not just a byproduct of disorder, generating space, time, gravity, and quantum phenomena. These works introduce concepts like the Obidi Action and Master Entropic Equation (MEE), reinterpreting relativity and unifying physics through information geometry and entropic dynamics, suggesting all physical laws arise from the reorganization of this entropic field. 

The collected works on the evolution of the Theory of Entropicity (ToE) provide a comprehensive overview of the foundational writings that mark the emergence of this radical and unifying framework. These works trace the conceptual, mathematical, and philosophical development of ToE, from the Obidi Actions and the Master Entropic Equation to the entropic reinterpretation of relativity, quantum measurement, and spacetime emergence. The papers assembled here present a coherent vision of a universe whose laws arise not from arbitrary axioms but from the logical inevitability of entropy as the primary substrate of reality. 

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The Theory of Entropicity (ToE) establishes entropy not as a statistical byproduct of disorder but as the fundamental field and causal substrate of physical reality. It provides a rigorous information-geometric foundation for entropy-driven dynamics, integrating Fisher–Rao’s classical information metric and the Fubini–Study quantum metric through the Amari–Čencov alpha-connection formalism. 

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The historical and philosophical foundations of ToE reveal its evolution from thermodynamic origins in the 19th century to quantum and informational generalizations in the 20th and 21st centuries. Each stage illuminated a fragment of a deeper truth: that entropy is not merely a measure of disorder, but a universal principle. 

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For those interested in exploring the evolution of the Theory of Entropicity (ToE), the collected works offer a comprehensive introduction to its central ideas, methods, and implications, serving both as a historical record of the theory’s inception and as a comprehensive introduction to its central ideas, methods, and implications. 

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Core Concepts of ToE

• Entropy as a Field: ToE posits entropy as a fundamental, dynamic field, similar to an electromagnetic field, that dictates physical reality.
• Emergent Spacetime: Gravity, time dilation, and motion are seen as consequences of the gradients and flows within this entropic field, not inherent geometric properties.
• Obidi Action & MEE: A variational principle (Obidi Action) and governing equation (MEE) unify thermodynamics, relativity, and quantum mechanics.
• Information Geometry: Uses tools like the Fisher-Rao metric to mathematically describe how entropy-driven dynamics shape reality.
• Reinterpretation of Relativity: Relativistic effects (time dilation, mass increase) are explained by entropic resistance and conservation laws, not just spacetime curvature. 

Key Publications/Resources

• "Collected Works on the Evolution of the Foundations of the Theory of Entropicity (ToE)...": This collection (Volume 1, version 1.0) details the conceptual and mathematical development of ToE, available on platforms like Figshare and ResearchGate.
• John Onimisi Obidi's Medium Page: Features numerous articles explaining foundational concepts, applications, and philosophical implications of ToE.
• SSRN & Cambridge University Press: Research papers applying ToE to specific problems, like deriving relativity or linking to Bianconi's work on gravity. 

In essence, ToE presents a unified, entropy-centric worldview, proposing that the universe is a continuous, self-organizing entropic computation. 

References

https://papers.ssrn.com/sol3/papers.cfm?abstract_id=5996415

On the Ideological and Conceptual Simplicity and Yet Mathematical Complexity of the Theory of Entropicity (ToE)

The Theory of Entropicity (ToE), primarily developed by the Nigerian-born philosopher, physicist and researcher, John Onimisi Obidi, as of 2025—2026, is based on a simple conceptual idea but involves complex mathematical foundations. 

1. Ideological and Conceptual Simplicity of ToE 

The core vision of ToE is straightforward: the universe is not made of matter or energy [alone], but is an emergent manifestation of entropy in motion (flow). 

• Entropy as a Field: Rather than being just a measure of disorder, entropy is a fundamental, physical field (the Entropic Field) that shapes space, time, and gravity.
• The "No-Rush Theorem": A key simple rule stating that God or nature cannot be rushed (G/NCBR); all physical processes must have a finite, non-zero duration because entropy redistribution takes time.
• Unified Cause: Relativistic effects like mass increase, time dilation and the speed of light are explained as real physical consequences of this entropic field's constraints, rather than just being a result of perspective. 

2. Mathematical and Logical Complexity of ToE 

While the idea and concept is elegant and simple and seemingly innocuous, the actual framework requires a sophisticated and unconventional mathematical architecture: 

• Non-Classical Framework: It moves away from classical differential geometry to use information geometry and non-equilibrium thermodynamics.
• Advanced Formalisms: It utilizes complex tools like Amari–Čencov α-connections and Rényi/Tsallis non-extensive entropy formalisms to link information flow to spacetime curvature.
• Iterative Logic: Unlike Einstein's equations, which often yield closed-form solutions, the Master Entropic Equation (MEE) — the Obidi Field Equations (OFE) — of ToE is typically solved through iterative, highly computational, self-correcting algorithms. 

3. Current Scientific Status

As of 2026, the Theory of Entropicity is considered a recent, audacious and provocative proposal. While its proponents highlight its potential to unify thermodynamics, relativity, and quantum mechanics, it is still undergoing conceptual and mathematical refinement and developments for its widespread experimental validation to stand with established theories like Einstein's beautiful theory of General Relativity. 

Is the Theory of Entropicity (ToE) a Simple Subject in Physics? How Simple or Complex or Complicated is the Theory of Entropicity (ToE)?

John Onimisi Obidi began his audacious, radical and provocative Theory of Entropicity (ToE) with just a very simple and seemingly innocuous core idea—that entropy is the fundamental, dynamic field creating reality—but its mathematical implementation is very complex and complicated, aiming to unify quantum mechanics, relativity, and thermodynamics through advanced entropic dynamics and information geometry, making it conceptually profound yet intricate to work with. 

Simplicity of the Core Idea:

• Entropy as the Fundamental Field: ToE posits that entropy isn't just a measure of disorder but a real, physical field that governs everything, much like the electromagnetic field.
• Emergent Physics: Gravity, spacetime, time's arrow, and quantum phenomena emerge from the dynamics of this universal entropic field, making physics a story of entropy's flow and reorganization. 

Complexity in Practice:

• Advanced Mathematics: It uses sophisticated concepts like Amari-Čencov connections, information geometry, and spectral calculus to build its framework.
• Dynamic Equations: Its field equations are iterative and self-referential, describing an ongoing process of "computation" by nature, not static solutions.
• Reconstruction of Relativity: ToE reconstructs relativity as a limiting case, explaining why mass increase, time dilation and length contraction occur as consequences of the entropy field's capacity, not just coordinate transformations. 

In Summary: ToE's central concept is elegant and simple, but its exploration and formalization involve cutting-edge, complex mathematics, making it a deeply intricate, emerging framework in modern theoretical physics. 

Applications of the Theory of Entropicity (ToE)

The Theory of Entropicity (ToE) proposes that entropy is the fundamental field, with applications in unifying physics (Relativity, Quantum Mechanics, Thermodynamics), explaining phenomena like gravity and light speed, and extending into AI, neuroscience (consciousness), cosmology, and engineering for efficiency. Its core applications involve redefining physical laws as emergent from this entropic field, providing new frameworks for understanding reality, and potentially optimizing resource management across various domains. 

Applications in Physics & Cosmology

• Unification: Unifies relativity, quantum mechanics, and thermodynamics by making entropy the source of all interactions, not just a measure of disorder.
• Gravity: Explains gravity as an emergent effect of entropy-driven constraints, rather than a curvature of spacetime.
• Relativity: Derives mass increase, time dilation, and length contraction from entropic principles, explaining the speed of light as a finite rate of entropic rearrangement.
• Quantum Mechanics: Views quantum uncertainty and wave-particle duality as consequences of entropic dynamics. 

Applications in Technology & Biology

• AI & Consciousness: Introduces "Self-Referential Entropy" (SRE) to quantify consciousness, suggesting it arises from internal entropy structures.
• Information Theory: Links information concepts (like distinguishability) to physical properties, using tools like Araki relative entropy.
• Engineering: Offers a framework for designing more efficient systems and optimizing resource use by grounding efficiency in fundamental entropic principles. 

Conceptual Applications

• New Ontology: Proposes a unified reality where geometry, forces, and information are projections of a single entropic field.
• Understanding Reality: Provides a new perspective on time, space, and motion as manifestations of entropy flow. 

In essence, the Theory of Entropicity (ToE) offers a unified, entropy-based paradigm for physics, potentially unlocking new understandings and applications in complex systems, from the cosmos to artificial intelligence. 

The Ontological Challenge of Bianconi's Gravity from Entropy (GfE) Through the Lens of the Theory of Entropicity (ToE)

Ginestra Bianconi's 2024/2025 "Gravity from Entropy" framework, which derives gravitational equations from the quantum relative entropy between a spacetime metric and a matter-induced metric, faces a significant ontological challenge regarding the fundamental nature of reality and the necessity of dualism. 

The ontological challenges include:

• Parasitic Dualism: The theory requires two pre-existing metrics—the background spacetime metric and the matter-induced metric—to define the entropic "distance" or mismatch. This implies that gravity is not a fundamental entity but rather a "parasitic" or secondary phenomenon that feeds on the difference between two other structures.
• Lack of Independence: Because entropy is used as a measure of difference between these two structures, it lacks ontological independence, notes John Onimisi Obidi in an analysis of the theory. It describes a comparison of realities rather than the generation of reality itself.
• The "Two Realities" Problem [the Bianconi Paradox]: The framework introduces a, arguably, costly dualism, where gravity is derived from the "mismatch" between the manifold and matter-induced geometry, failing to fully reconcile or eliminate the need for these separate descriptions. 

Contextual Comparison (Theory of Entropicity - ToE):
In contrast to Bianconi’s model, which compares two metrics, some alternative approaches, such as the Theory of Entropicity (ToE), argue for a monistic view where entropy itself is the primary, fundamental field (not a measure of difference) from which spacetime and matter are generated. Bianconi’s model, however, is considered a significant step in uniting quantum mechanics with general relativity by treating gravity as an information-theoretic force.