What is the Theory of Entropicity (ToE)?

The Theory of Entropicity (ToE) is a relatively new theoretical framework in physics developed by John Onimisi Obidi that proposes a radical rethinking of fundamental physics. Rather than treating spacetime geometry as the foundational substrate of reality, ToE posits that entropy itself is the fundamental field — the "medium of causality" from which all other physical phenomena emerge. 

Core Principles

1. The Entropic Field as Fundamental

ToE asserts that an underlying entropic field governs all physical processes. This field is not merely a statistical measure of disorder (as in traditional thermodynamics) but a physically real, dynamical entity with its own field equations and variational principles. 

2. The Entropic Time Limit (ETL)

A central axiom of ToE is that no interaction can be instantaneous. Every physical process — whether quantum measurement, entanglement formation, or wave-function collapse — requires a finite, non-zero time interval called the Entropic Time Limit (ETL). This is the minimum time needed for the entropic field to redistribute constraints and synchronize states across subsystems. 

3. Emergent Spacetime

Unlike General Relativity, where gravity arises from spacetime curvature, ToE proposes that spacetime itself is emergent from the deeper entropic field. Gravity, electromagnetism, and quantum phenomena are all interpreted as emergent behaviors of entropy flow and constraint propagation. 

Key Mathematical Constructs

- The Vuli-Ndlela Integral: An entropy-weighted reformulation of Feynman's path integral, where paths are weighted not only by classical action but also by gravitational entropy and irreversible entropy flow. This introduces temporal asymmetry into quantum mechanics. 

- The No-Rush Theorem: Establishes that no interaction can occur faster than the entropic field can rearrange, providing a universal time-limit that serves as the foundation of causality. 

- The Local Obidi Action and Spectral Obidi Action: Variational principles that yield the Master Entropic Equation, entropic geodesics, and irreversible dynamics. 

Experimental Support

ToE gained attention following a 2025 experimental result showing that quantum entanglement forms over a finite duration of approximately 232 attoseconds — rather than instantaneously as traditionally assumed. ToE interprets this as direct empirical evidence for the ETL: the finite time reflects the entropic field's intrinsic constraint propagation speed, not merely measurement uncertainty. 

Reinterpretation of Established Physics

Phenomenon Traditional View ToE Interpretation

Speed of light (c) Universal constant, maximum velocity of information Maximum rate at which the entropic field can redistribute information

Gravity Curvature of spacetime Emergent entropic force from entropy gradients

Time External parameter or spacetime coordinate Emergent quantity arising from entropy flow

Wave-function collapse Instantaneous, non-dynamical Finite-duration entropic transition

Entanglement Instantaneous correlation Finite-time entropic synchronization

Comparison with Other Theories

The Theory of Entropicity (ToE) distinguishes itself from related entropic approaches:

- Entropic Gravity (Erik Verlinde): Treats gravity as emergent from entropy but does not elevate entropy to a fundamental field.

- Entropic Dynamics (Ariel Caticha): Derives dynamics from entropic inference but does not posit a physical entropy field.

- Gravity from Entropy (Ginestra Bianconi): Introduces entropic action but still treats entropy as derived.

Obidi's Theory of Entropicity (ToE) is unique in literally elevating entropy to a continuous, dynamical field with its own action, kinetics, and field equations built from information geometry and spectral operators. 

Current Status

The Theory of Entropicity (ToE) is a developing and radical framework. While it has shown initial success in reproducing key predictions of General Relativity (such as Mercury's perihelion precession and solar starlight deflection) from an entropic perspective, it is still undergoing rigorous mathematical formalizations and broader experimental validation to compete with established theories like Quantum Field Theory and General Relativity.