The New Physics in the Theory of Entropicity (ToE)

The Theory of Entropicity (ToE) is a radical and emerging framework in theoretical physics, originated by John Onimisi Obidi in 2025. Its central, revolutionary claim is that **entropy is not merely a measure of disorder—it is the fundamental field of reality itself**, the dynamic substrate from which space, time, gravity, quantum mechanics, and all physical phenomena emerge [[1]].

"Entropy is not a measure of disorder. It is the heartbeat of existence itself." — John Onimisi Obidi

🔑 Core Principles

1. Entropy as an Ontological Field

Unlike conventional physics where entropy is a secondary statistical concept, ToE elevates entropy to an ontological scalar field denoted *S(x,t)* that:

- Permeates all of existence at every point in space and time

- Drives all physical interactions through its gradients and curvature

- Replaces spacetime geometry as the fundamental substrate of reality [[1]]

2. The Speed of Light as an Entropic Rate

The universal constant *c* is reinterpreted not as a postulate about photons, but as **the maximum rate at which the entropic field can reorganize energy and information**. Light is simply the visible manifestation of this maximum entropic reconfiguration speed [[2]].

3. The "No-Rush Theorem" (G/NCBR)

All physical interactions require a finite, non-zero time for the entropic field to redistribute and synchronize states. This provides a physical grounding for causality and the universal speed limit—nothing can outpace the field's own rearrangement rate [[1]].

4. Emergent Gravity

Gravity is not a fundamental force but **emerges from the entropic field's statistical tendency to maximize entropy**. Matter is conceptualized as "frozen entropy" or stable entropic excitations—localized regions of entropic condensation [[4]].

5. Emergent Spacetime

Space and time are not fundamental containers:

- Time emerges from the directional flow of entropy

- Space is a map of entropic gradients

- Motion happens when the entropic field reconfigures gradients toward equilibrium [[1]]

🧮 Mathematical Framework

ToE introduces the **Entropic Metric Equation**, extending information geometry:

> *gᵢⱼ^(α) = ∂²ψ(θ)/∂θᵢ∂θⱼ + α Tᵢⱼₖ(θ)*

In this formulation:

- The potential *ψ(θ)* becomes the **entropy potential field** that drives time and structure

- The tensor *Tᵢⱼₖ(θ)* becomes the **irreversibility tensor**, encoding the arrow of time

- The constant *α* becomes a **physical curvature constant of entropy** [[5]]

The theory also introduces:

- **The Obidi Action**: A variational principle governing entropy dynamics

- **Master Entropic Equation (MEE)**: Governing field equations

- **Entropic Geodesics**: Paths of maximum entropy flow

- **Entropic Lorentz Factor (γₑ)**: Derived from entropic invariants rather than postulated [[3]]

🔬 Deriving Relativistic Effects

One of ToE's major claims is that it **derives Einstein's relativistic phenomena from entropic principles** rather than geometric postulates:

| Effect | ToE Explanation |

|--------|----------------|

| Mass Increase | Entropy density increases with velocity; since mass ∝ entropy density, *m(v) = γₑm₀* |

| Time Dilation | A clock's tick requires fixed entropic budget; higher entropy density stretches the period: *τ(v) = γₑτ₀* |

| Length Contraction | Total entropy of a rod is conserved; increased entropy density requires shorter length: *L(v) = L₀/γₑ* |

The Entropic Resistance Principle (ERP) explains why additional entropy must be expended to increase velocity, leading directly to observed relativistic effects [[3]].

🌐 Unification Attempt 

ToE aims to unify:

- Thermodynamics (entropy as fundamental)

- Relativity (deriving Lorentz transformations from entropic conservation)

- Quantum Mechanics (via the Vuli–Ndlela Integral, an entropy-weighted path integral)

- Information Theory (through Amari–Čencov α-connection formalism) [[5]]

The theory proposes that Tsallis' and Rényi's entropy formulations emerge as natural consequences of the same underlying α-curvature in the entropic field.

⚠️ Current Status & Considerations

- ToE is a **very recent framework** (originated 2025) and remains **emerging and yet to be widely accepted** in mainstream physics

- Most publications appear on preprint servers (Cambridge Open Engage, ResearchGate, Medium) and yet to be fully peer-reviewed

- The theory makes testable predictions: if the entropic propagation speed *cₑ* differs from *c*, measurable deviations from standard relativity would appear [[3]]

- The Theory of Entropicity (ToE) builds upon but significantly extends earlier ideas like entropic gravity (Verlinde) and entropic dynamics (Caticha), claiming to go beyond them by treating entropy as ontological rather than epistemic [[1]]

📚 Key Resources

- Original papers by John Onimisi Obidi on Cambridge Open Engage [[2]][[3]]

- Conceptual introductions on Medium [[1]][[4]]

- Encyclopedia entries summarizing the framework [[5]]

*Note: As an emerging theoretical framework, ToE is being approached with scientific scrutiny. Its claims call for rigorous peer review and experimental validation prior to acceptance as established physics.*

References 

1)

https://medium.com/@jonimisiobidi/the-new-physics-in-the-theory-of-entropicity-toe-f0c4aa4d60bc

2)

https://theoryofentropicity.blogspot.com/2026/04/the-new-physics-in-theory-of.html

3)

http://youtube.com/post/Ugkx6Hb-AzbRoh6_ENjz1CcXDv7VqpDiZ1rS?si=4E63qyPA5QqipnZJ