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 Interactions - Volume I: The Conceptual and Philosophical Expositions (Version 1.0)

20 April 2026, Version 1
This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.

Abstract

This volume gathers the foundational writings that mark the emergence of the Theory of Entropicity (ToE)—a radical and unifying framework proposed by John Onimisi Obidi that repositions entropy as the fundamental field of nature. Across these collected works, ToE advances the claim that the universe is not governed by geometry, energy, or quantum amplitudes, but by the continuous dynamics of an underlying entropic field whose gradients, flows, and spectral structure generate all known physical phenomena. Time dilation, mass increase, gravitational curvature, quantum collapse, information flow, and the arrow of time are reinterpreted as consequences of finite entropic reconfiguration rates rather than observer-dependent effects or geometric postulates. The papers assembled here 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. Together, they 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. This volume serves both as a historical record of the theory’s inception and as a comprehensive introduction to its central ideas, methods, and implications.

Keywords

Amari–Čencov connections
Araki relative entropy
Bekenstein–Hawking entropy
Bianconi metric relative entropy
Casimir effect
dS/CFT correspondence
Emergent geometry
Entropic curvature
Entropic field S(x)
Entropic geodesics
Entropic vibrations
Fisher–Rao metric
Fubini–Study metric
Holographic pseudo-entropy
Information geometry
Informational flow
Kinematic space
Klein–Gordon equation (pseudo-entropy)
Local Obidi Action (LOA)
Master Entropic Equation (MEE)
Metric relative entropy
Modular operator
Nonlinear entropic dynamics
Pseudo-entropy
Quantum entanglement
Quan tum field theory
Rényi entropy
Renormalization flow
Spectral geometry
Spectral Obidi Action (SOA)
Spectral operator DS
String theory
Temperature of geometry
Temperature of information
Thermody namic gravity
Theory of Entropicity (ToE)
Tsallis entropy
Vacuum structure.

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