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