Collected Works on the Theory of Entropicity (ToE): An Exposition on the Evolution of the Foundations of the Theory

The Theory of Entropicity (ToE), pioneered by John Onimisi Obidi, is an emerging theoretical physics framework that posits entropy not as a measure of disorder, but as the fundamental, dynamic field from which all physical reality—including space, time, gravity, and quantum mechanics—emerges. 

The primary collection of works chronicling its development is the volume titled: 

Collected Works on the Evolution of the Foundations of the Theory of Entropicity (ToE)

This volume, first published in late 2025, establishes entropy as the primary substrate of reality and traces the theory's mathematical and philosophical evolution. 

Key Papers and Milestones in the Theory's Evolution

The foundations of ToE are built upon several core papers and conceptual shifts: 

• Elevating Entropy to an Ontic Field (2025): The theory departs from traditional physics by treating entropy as an active, continuous field 
  

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   rather than a secondary statistical byproduct.
• The Obidi Action and Master Entropic Equation (MEE): These represent the core mathematical engine of ToE, serving as the entropic analogue to the Einstein-Hilbert action and Einstein’s field equations.
• The No-Rush Theorem: This foundational principle reinterprets the speed of light (c
  

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  ) as the maximum rate at which the entropic field can reorganize information, providing a new basis for causality.
• The Vuli–Ndlela Integral: An entropy-weighted reformulation of Feynman’s path integral that introduces intrinsic irreversibility into quantum mechanics.
• Information-Geometry Bridge: Works [on ToE] that utilize the Amari–Čencov framework and Fisher-Rao/Fubini-Study metrics to mathematically link information flow with physical spacetime geometry.
• Derivation of General Relativity Results: Recent publications demonstrate how the Theory of Entropicity (ToE) derives relativistic phenomena like Mercury's perihelion precession (43 arcseconds per century) from entropic constraints rather than curved spacetime. 

Broader Context and Influences of ToE 

The evolution of ToE draws inspiration from and situates itself against established "entropic" approaches: 

• Erik Verlinde’s Entropic Gravity (2011): Viewed as a precursor that treated gravity as an emergent force but did not elevate entropy to a fundamental field.
• Jacobson (1995) & Padmanabhan (2010): Earlier foundational work deriving Einstein's equations from thermodynamics.
• Evolutionary Biology: The theory also extends into biology, viewing evolution as the story of systems increasingly optimizing their "surf" on the entropic field. 

If you would like, we can provide a more detailed breakdown of the Obidi Action or explain the No-Rush Theorem's impact on our understanding of time through the lens of the Theory of Entropicity (ToE).

Appendix: Extra Matter

The Theory of Entropicity (ToE), developed by John Onimisi Obidi, proposes that a fundamental entropic field, rather than spacetime geometry or quantum, is the primary substrate of reality. Collected works (e.g., ResearchGate 399267338_Collected_Works_on_the_Evolution_of_the_Foundations_of_the_Theory_of_Entropicity_ToE_Establishing_Entropy_as_the_Fundamental_Field_that_Underlies_and_Governs_All_Observations_Measurements_and_Interacti, figshare 30983197) chronicle the evolution of ToE, featuring the Master Entropic Equation (MEE), Obidi Action, and the derivation of physical laws as emergent, entropy-driven phenomena. 

Core Foundations and Evolution of ToE

• Fundamental Shift: ToE posits that entropy is the "heartbeat of existence," not just a measure of disorder. It reinterprets relativity, quantum mechanics, and gravity as consequences of the finite rate at which entropy rearranges itself.
• Key Concepts:
  • Obidi Action (LOA/SOA): The foundational principle (Local and Spectral) from which entropic field equations are derived.
  • Master Entropic Equation (MEE): The core formula derived within these works, governing the dynamics of the entropic field.
  • Entropic Lorentz Factor (ELF): Replaces traditional relativity's geometric factors, derived from entropy conservation.
• Evolutionary Path: The collected works show ToE developing from initial conceptual proposals (2025) to a formalized framework integrating information geometry and thermodynamics.
• Unified Framework: ToE connects and subsumes previous entropic theories from researchers like Erik Verlinde, Ted Jacobson, and Ginestra Bianconi, aiming to bridge relativity and quantum mechanics. 

Key Publications (2025-2026):

• Collected Works on the Evolution of the Foundations of the Theory of Entropicity (ToE)... Volume I
• Further Expositions on the Theory of Entropicity (ToE) and...
• Einstein and Bohr Finally Reconciled...
• The Theory of Entropicity (ToE) Goes Beyond Holographic Pseudo-Entropy 

The Theory of Entropicity (ToE) is undoubtedly innovative in treating entropy as the fundamental field, even though it is a recent proposal (circa 2025) and is still developing its formal, experimental, and mathematical foundations. 

Would you like a more detailed breakdown of the mathematical derivation of the Master Entropic Equation (MEE) of the Theory of Entropicity (ToE)?