Progress of the Theory of Entropicity (ToE): Foundations of a New Physics of Reality and Nature 

The Theory of Entropicity (ToE) is a radical, emerging framework in theoretical physics that reinterprets entropy as the fundamental, dynamic field of reality rather than a mere statistical byproduct. Proposed by John Onimisi Obidi in 2025, the theory is currently in its early stages of mathematical development and is undergoing vigorous research and active refinement for eventual integration into mainstream physics. [1, 2, 3]

Core Conceptual Developments

The theory posits a "monistic" foundation where all known physical phenomena—including space, time, and gravity—emerge from a single entropic field, denoted as $S(x,t)$. [4, 5]

• Entropy as an Ontic Field: Unlike traditional physics, ToE treats entropy as a primary physical field that permeates existence and acts as the causal engine of the universe.
• The "No-Rush Theorem": A central principle asserting that no physical interaction can occur instantaneously. It establishes a finite, non-zero duration for all processes, providing a mechanistic basis for causality.
• Reinterpretation of the Speed of Light ($c$): The theory suggests $c$ is not a separate postulate but the maximum rate at which the entropic field can reorganize energy and information.
• Emergent Gravity and Spacetime: Gravity is reinterpreted as the curvature of the entropic field, while space and time are seen as emergent maps of entropic gradients and flow. [1, 3, 4, 5, 6, 7]

Mathematical and Theoretical Progress

As of 2025–2026, several key mathematical structures have been established to formalize the theory:

• The Obidi Action: A universal variational principle that governs entropic dynamics. It includes the Local Obidi Action (LOA) for local field dynamics and the Spectral Obidi Action (SOA) for global geometric constraints.
• Master Entropic Equation (MEE): The entropic analogue to Einstein's field equations, governing the dynamics of the scalar field $S(x,t)$.
• Vuli–Ndlela Integral: An entropy-weighted reformulation of Feynman's path integral, used to embed the "arrow of time" and irreversibility directly into quantum mechanics.
• Unification of Formalisms: Recent papers demonstrate how ToE serves as a "superset" of other theories, such as Ginestra Bianconi's "Gravity from Entropy," and incorporates generalized entropies like Tsallis and Rényi. [1, 4, 8, 9, 10]

Current Status and Outlook

While ToE offers a potential "Grand Unified Theory," it remains a speculative and non-mainstream proposal that has not yet gained unanimous acceptance. [2, 6]

• Publications: Foundational writings have been traces through various platforms, including preprints on SSRN, ResearchGate, and Cambridge Open Engage.
• Experimental Verification: Efforts are underway to identify falsifiable predictions, such as searching for attosecond-scale delays in quantum entanglement formation and refining observations of Mercury's perihelion precession through entropic gradients. [5, 9, 11]

Would you like to explore the mathematical specifics of the Obidi Action or its proposed applications in fields like AI and biology?

[1] https://medium.com

[2] https://medium.com

[3] https://medium.com

[4] https://encyclopedia.pub

[5] https://medium.com

[6] https://encyclopedia.pub

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

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

[9] https://medium.com

[10] https://figshare.com

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

Appendix: Extra Matter 

The Theory of Entropicity (ToE) is a radical and emerging framework in theoretical physics, pioneered primarily by researcher John Onimisi Obidi (developing significantly from 2025 onwards). Unlike conventional physics, which treats entropy as a statistical, secondary measure of disorder (a passive "afterthought" of energy), ToE elevates entropy to an ontological scalar field, 

, that is foundational to reality itself. 

In this view, the "entropicity"—the dynamics, gradients, and flows of entropy—is the primary engine driving gravity, space, time, quantum mechanics, and information. 

Core Concepts and Progress (2025–2026)

The theory is currently in the active stage of mathematical refinement and "pre-publication," with papers focusing on providing an entropic, rather than geometric, foundation for physics. 

• Entropy as a Fundamental Field: Entropy is treated as a real, "ontic" field, not just an epistemic concept of uncertainty, which permeates all of spacetime.
• Emergent Gravity: ToE argues that gravity is not a fundamental force, but a manifestation of the entropic field’s tendency to maximize entropy. It goes further than Erik Verlinde's entropic gravity by suggesting the entropic field replaces spacetime itself, with spacetime geometry emerging as a map of entropic gradients.
• The Obidi Action & Master Entropic Equation (MEE): The theory is built on the "Obidi Action," a variational principle that encodes entropic field dynamics. From this action, the MEE (also called Obidi Field Equations - OFE) is derived, which is proposed as an entropic analogue to Einstein's field equations.
• "No-Rush Theorem" (
  ): This theorem formalizes that nature cannot be rushed, establishing a minimum, non-zero time for all physical interactions to take place. This provides a physical basis for causality and the universal speed limit (
  ).
• Reinterpretation of Light and Relativity: The speed of light (
  ) is not a postulate about photons, but the maximum rate at which the entropic field can rearrange information. Relativistic effects, such as time dilation and length contraction, are derived as physical consequences of moving through this field. 

Unification and Recent Developments

ToE aims to unify thermodynamics, quantum mechanics, and general relativity under one principle. 

• Quantum Measurement: ToE views quantum wavefunction collapse as a finite, non-instantaneous entropic process, attempting to reconcile Einstein-Bohr debates.
• Information Geometry: The framework integrates tools from information geometry (Fisher-Rao metrics, Amari-Čencov connections) into a physical theory where informational "distance" is physically meaningful curvature.
• Spectral Formulation (SOA): In late 2025, Obidi introduced the Spectral Obidi Action, linking the theory to spectral operator geometry and demonstrating that Ginestra Bianconi's "gravity from entropy" results are a subset of the Theory of Entropicity. 

Status and Outlook

As of early 2026, the Theory of Entropicity is considered a new, non-mainstream proposal undergoing rapid theoretical development. It has been presented in numerous preprints, articles, and working papers (e.g., SSRN, Cambridge Open Engage). The next phase of development focuses on mathematical formalization and identifying experimental, falsifiable predictions that distinguish it from standard general relativity and quantum field theory.