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. Central to this formulation is the Obidi Action, a variational principle. By integrating the Fisher–Rao and Fubini–Study metrics through the Amari–Čencov alpha-connection formalism, ToE provides a rigorous information-geometric foundation for entropy-driven dynamics. The Obidi Action comprises the Local and Spectral Obidi Actions.
John Onimisi Obidi is an independent scientific researcher, philosopher, and writer who is best known as the pioneer and creator of the Theory of Entropicity (ToE). He explicitly distinguishes himself from a popular social media consultant of a similar name. [1, 2]
Obidi's work focuses primarily on theoretical physics, information geometry, and philosophy through a self-published framework that attempts to offer a fresh perspective on the fundamental laws of the universe. [3, 4, 5]
The Theory of Entropicity (ToE)
Introduced by Obidi in early 2025, ToE is a non-mainstream proposal positioned as a candidate for a Grand Unified Theory. The framework relies on several core concepts: [5, 6, 7]
Entropy as a Fundamental Field:
Traditional physics treats entropy as a statistical measurement of disorder or uncertainty. Obidi's theory treats entropy as a dynamic, physical "ontological scalar field" that serves as the actual substrate of reality. [4, 8]
Emergent Properties:
The theory argues that spacetime, gravity, and quantum mechanics are not fundamental, but rather emergent properties resulting from the dynamics of this universal entropic field. [5, 6]
Redefining the Speed of Light (c):
Within ToE, the speed of light is interpreted as the finite maximum rate at which the universe can physically process information and rearrange its entropic state. [8, 9]
Mathematical Formalism:
Obidi uses equations such as the Master Entropic Equation (MEE) and the Obidi Action to mathematically model how physical phenomena arise from entropic field constraints. [2, 10]
Academic and Professional Standing
Obidi operates as an independent researcher and frequently shares his monographs, letters, and foundational texts across open-publishing and academic networking platforms like John Onimisi Obidi's Medium Profile, ResearchGate, Academia.edu, and Figshare. [1, 2, 6, 11]
While his writings offer highly detailed mathematical and philosophical extensions—including a discipline he calls Ontodynamics (the study of existence through entropic motion)—the Theory of Entropicity (ToE) is in its early stages of development and is yet to be formally accepted or established within the mainstream physics community. [5, 12]
Would you like to explore:
The mathematical formulas used in the Master Entropic Equation (MEE)/Obidi Field Equations (OFE)
How ToE differs from Einstein's General Relativity
John Onimisi Obidi’s Theory of Entropicity (ToE) fundamentally flips Albert Einstein’s classical view of the universe by arguing that entropy is the primary building block of reality, while spacetime, matter, and gravity are merely emergent side effects. [1, 2]
Where Einstein viewed spacetime curvature as a fundamental geometric fabric dictated by mass and energy, Obidi claims that spacetime itself arises from the dynamics of an information-geometric field. [2, 3] The core conceptual differences between Einstein's General Relativity and Obidi's Theory of Entropicity can be broken down across these key pillars:
1. The Ontological Hierarchy
Einstein's View:
Spacetime is the primary stage. Mass and energy warp this stage, and thermodynamics (entropy) is a secondary statistical measurement used to track heat and disorder within it. [2, 4]
Obidi's View:
The hierarchy is entirely reversed. Entropy is the fundamental field (S(x)) from which everything else precipitates. His fundamental chain dictates: Entropy → Information → Spacetime → Matter. Spacetime does not contain entropy; spacetime arises from it. [4, 5]
2. The Nature of Gravity
Einstein's View:
Gravity is a fundamental property of spacetime geometry, mathematically governed by the Einstein-Hilbert Action.
Obidi's View:
Gravity is an illusion—a macroscopic shadow of a deeper cosmic drive to maximize entropy. Obidi replaces Einstein's geometric math with the Obidi Action, an information-geometric variational principle. Einstein’s equations are reduced to a mere "special case" that only holds true under smooth, low-gradient, near-equilibrium conditions. [2, 3, 6, 7]
3. The Speed of Light (c)
Einstein's View:
The speed of light (c) is a hard, fundamental constant postulated to be the absolute speed limit for mass and information traveling through space.
Obidi's View:
The speed of light is not a random cosmic postulate; it is a mathematical consequence derived from entropy. Obidi reinterprets c as the Entropic Speed Limit (ESL)—the maximum possible rate at which the universal entropic field can rearrange or permute itself. [8, 9]
4. The Emergence of Time
Einstein's View:
Time is integrated with space as a continuous, fundamental four-dimensional fabric (spacetime).
Obidi's View:
Time is not a fundamental dimension. In his No-Rush Theorem (NRT), Obidi asserts that information processing cannot happen infinitely fast. This "cosmic processing delay" or lag in entropic redistribution is what creates a directional gradient, inherently giving rise to the arrow of time and irreversible temporal flow. [7, 9]
Concept
Albert Einstein (General Relativity)
John Onimisi Obidi [(Theory of Entropicity (ToE)]
Primary Foundation
Spacetime geometry
The Entropic Field (S(x))
Status of Entropy
A secondary metric of disorder
The foundational fabric of existence
Gravity
Geometric warping of spacetime
Macroscopic projection of entropic flow
The Constant c
Fundamental speed postulate
Maximum rate of entropic rearrangement
Time
A fundamental dimension of spacetime
Emergent "processing lag" of information
Would you like to explore the mathematical framework Obidi uses to bridge these scales (like the Amari-Čencov α-connections), or look deeper into how his theory attempts to unify quantum mechanics with gravity?
What Is Obidi Saying That Is Different From Einstein?
John Onimisi Obidi’s Theory of Entropicity (ToE) completely flips the traditional hierarchy of physics established by Albert Einstein. While Einstein explained gravity and the universe using the geometry of spacetime, Obidi argues that spacetime itself is an illusion generated by a deeper, universal entropy field . The revolutionary nature of Obidi’s proposal lies in the fact that he does not merely reinterpret Einstein’s equations — he repositions them as emergent shadows of a more fundamental informational and entropic architecture.
The primary differences between Obidi’s framework and Einstein’s classical theories include a complete reversal of what physics considers “fundamental,” a redefinition of gravity, a reinterpretation of time and the speed of light, and a transformation of mathematical geometry itself.
1. What Is Fundamental vs. Emergent
Einstein’s view treats spacetime and the speed of light as the ultimate foundational inputs. Spacetime is a physical fabric that bends to create gravity. In Einstein’s conceptual hierarchy, spacetime is the primitive arena, matter moves within it, information describes matter, and entropy is a statistical measure of disorder.
Obidi’s view is radically different. Entropy is the fundamental substrate of reality, while space, time, matter, and gravity are secondary, emergent properties. In Obidi’s conceptual hierarchy, entropy comes first, information emerges from entropy, spacetime emerges from information, and matter emerges from spacetime. This reversal is not cosmetic — it is structural. It implies that geometry is not the foundation of physics but the result of deeper informational and entropic processes.
The Conceptual Hierarchy Chain
Einstein [Theory of Relativity (ToR]
Obidi [Theory of Entropicity (ToE)]
Spacetime → Matter → Information → Entropy
Entropy → Information → Spacetime → Matter
Obidi’s reversal is revolutionary because it implies that the universe is not built from geometry outward, but from entropy inward. Geometry becomes a macroscopic illusion created by microscopic informational dynamics.
2. The Nature of Gravity
Einstein defined gravity as the geometry of curved spacetime, modeled by the Einstein–Hilbert Action. In this view, matter tells spacetime how to curve, and curved spacetime tells matter how to move.
Obidi defines gravity as an “emergent consequence of information‑geometric dynamics.” Gravity is simply the macroscopic manifestation of the universe trying to maximize entropy. Obidi introduces the Obidi Action, proving that Einstein’s field equations are just a “low‑gradient, near‑equilibrium limit” of his deeper entropic equations. In other words, Einstein’s gravity is the special case of Obidi’s entropic gravity when the entropy field is smooth and near equilibrium.
This means that gravity is not a fundamental force. It is a statistical effect — the universe sliding down informational gradients toward higher entropy.
3. The Reinterpretation of Time and the Speed of Light
Einstein treated the speed of light as a strict universal constant built into the vacuum of space. Time, in Einstein’s view, is a fundamental dimension of the four‑dimensional spacetime continuum.
Obidi reframes the speed of light as the Entropic Speed Limit (ESL) — the maximum possible rate at which the universal entropy field can rearrange itself. Under Obidi’s No‑Rush Theorem (NRT), time is not a fundamental dimension; it is merely the internal cosmic “processing delay” or lag required to process information. Time flows because entropy flows. The arrow of time is not geometric — it is entropic.
This solves the phenomenological problem Einstein struggled with: why time flows irreversibly even though Einstein’s equations are reversible.
4. Mathematical Geometry
Einstein relied on smooth, static Riemannian geometry and the symmetric Levi‑Civita connection to trace gravitational paths. His geometry is fixed, continuous, and purely mathematical.
Obidi uses information geometry — such as the Fisher–Rao metric and the Amari–Čencov ‑connections. In ToE, the ‑connection acts like a physical dial. As the scale of the universe expands from a single subatomic particle to the cosmos, the connection smoothly warps across different informational regimes until it reaches , which is the exact point that mimics Einstein’s geometry.
This means Einstein’s geometry is not wrong — it is the special case of Obidi’s geometry when the informational structure of the universe reaches a particular equilibrium.
Obidi’s geometry is alive, adaptive, and informational — not static.
Summary of Differences
Feature
Albert Einstein [Theory of Relativity (ToR)]
John Onimisi Obidi[Theory of Entropicity (ToE)]
Foundational Substrate
Spacetime & Energy ()
The Universal Entropy Field
Core Variational Principle
Einstein–Hilbert Action
Obidi Action
What is Gravity?
Spacetime curvature
Emergent information‑geometric gradients
Speed of Light (c)
A fundamental cosmic constant
The maximum speed of entropic redistribution
Time
A fundamental continuous dimension (4D spacetime)
An emergent property caused by internal processing lag
A Seamless Unified Explanation
Einstein built the universe out of geometry. Obidi builds the universe out of entropy. Einstein’s spacetime is the stage on which physics happens. Obidi’s entropy field is the engine that creates the stage. Einstein’s gravity is curvature. Obidi’s gravity is entropic pressure. Einstein’s time is a coordinate. Obidi’s time is a processing lag. Einstein’s speed of light is a constant. Obidi’s speed of light is the maximum rate of entropic reorganization.
Obidi is not contradicting Einstein — he is explaining Einstein. He shows that Einstein’s equations emerge naturally when the entropic field is smooth, stable, and near equilibrium. Einstein described the motion. Obidi explains the cause. Einstein mapped the geometry. Obidi reveals the informational machinery that generates the geometry.
Obidi’s Theory of Entropicity (ToE) is revolutionary because it does not merely extend Einstein — it subsumes him. It rebuilds physics from the ground up, placing entropy at the foundation of reality and treating spacetime, matter, gravity, and time as emergent consequences of deeper informational dynamics.
