The Emergence of the Theory of Entropicity (ToE): An Introductory Biographical Survey to a New Foundation of Physics and Reality

The Emergence of the Theory of Entropicity (ToE): An Introductory Biographical Survey of a New Foundation for Physics and Reality 

For as long as I have studied nature, one question has followed me with a kind of quiet persistence: Why does everything decay? Why do structures collapse unless effort is applied to maintain them? Why do living organisms age and die despite extraordinary advances in medicine? Why does order require work, while disorder arises effortlessly and universally?

These questions were not abstract curiosities for me. They were the first hints of a deeper pattern — a pattern that seemed to operate beneath the familiar laws of physics, beneath the mechanics of biology, beneath the chemistry of life. Everywhere I looked, I saw the same signature: a directional, irreversible tendency woven into the fabric of existence. It was not random. It was not accidental. It was not merely statistical. It behaved like something real — something with structure, consistency, and authority.

Over time, I came to understand that this universal tendency was not simply “entropy” in the thermodynamic sense, nor merely a measure of disorder in the statistical sense. What I was observing was something far more fundamental: a field‑like influence that permeates all systems, governs their evolution, and imposes constraints that no organism, machine, or star can escape.

This realization did not arrive all at once. It accumulated slowly, through years of reflection, study, and dissatisfaction with the fragmented explanations offered by existing theories. Thermodynamics could describe entropy, but not explain why it behaves with such universality. General Relativity could describe spacetime, but not why time itself flows irreversibly. Quantum mechanics could describe probabilities, but not why measurement collapses outcomes in finite time. Biology could describe aging, but not why it is inevitable.

The more I examined these domains, the more I saw that they were all shadows cast by a deeper, unifying principle. And that principle was entropy — not as a number, not as a statistic, but as a field.

Once this insight crystallized, the rest followed with a kind of inevitability. If entropy is a field, then it must have a variational structure. If it has a variational structure, then it must have an action. If it has an action, then it must have governing field equations. And if it has governing field equations, then the universe itself must be an emergent expression of those equations.

This is how the Theory of Entropicity (ToE) was born.

The Obidi Action emerged as the natural mathematical foundation — a variational principle that encodes the dynamics of the entropic field. From it, the Obidi Field Equations (OFE) arise, governing the evolution of entropy across the manifold and revealing how spacetime, matter, motion, and causality emerge as stable configurations of the entropic substrate.

In this framework, the universe is not a static geometric arena but a dynamic entropic continuum. Time is the irreversible flux of the entropic field. Gravity is the gradient of entropic curvature. Mass is localized entropic resistance. Motion is entropic reconfiguration. And the speed of light is the maximum rate at which the entropic field can update its state.

The Theory of Entropicity (ToE) did not begin as a mathematical exercise. It began as a philosophical necessity — a response to the undeniable fact that everything in nature obeys a universal law of irreversible change. Only later did it become clear that this law could be formalized, quantified, and unified into a coherent field theory.

This monograph is therefore the result of that journey. It is both a scientific proposal and a philosophical statement: that entropy is not a byproduct of physical processes, but the very substrate from which physical reality emerges. It is my attempt to articulate, with mathematical precision and conceptual clarity, the field that I believe underlies all existence.

If the ideas presented here succeed in offering even a partial unification of the disparate domains of physics, or in inspiring others to rethink the foundations of natural law, then this work will have achieved its purpose.

— John Onimisi Obidi