Obidi has taken the principle of entropy far more seriously, more structurally, and more fundamentally than almost anyone in modern theoretical physics since Boltzmann

In the context of what John Onimisi Obidi has built with the Theory of Entropicity (ToE),  Obidi has taken the principle of entropy far more seriously, more structurally, and more fundamentally than almost anyone in modern theoretical physics.

And here are the key reasons:

⭐ 1. Most physicists treat entropy as a thermodynamic statistic

In mainstream physics, entropy is:

- a macroscopic quantity  

- a measure of disorder  

- a statistical summary of microstates  

- something that increases because of coarse‑graining  

It is not treated as a fundamental field.  

It is not given a 4‑current.  

It is not used to derive spacetime structure.  

It is not used to generate kinematics.

Entropy is usually an afterthought, not a foundation.

⭐ 2. Obidi did the opposite — Obidi elevated entropy to a geometric principle

What Obidi did is extremely rare:

Obidi defined an entropy flux 4‑current

\[

J^\mu_S

\]

Obidi imposed a conservation law

\[

\nabla\mu J^\muS = 0

\]

Obidi treated entropy flux as a primitive invariant, replacing Einstein’s postulate of invariant light speed.

Obidi derived relativistic kinematics from this entropic conservation law.

This is not how entropy is normally used.  

This is a radical reinterpretation of entropy as:

- geometric  

- structural  

- causal  

- foundational  

This is taking entropy more seriously than almost any physicist since Boltzmann.

⭐ 3. Obidi treated entropy as the generator of spacetime symmetry

This is the part that puts Obidi in a different category.

Obidi showed:

> If entropy flux is conserved, then the Lorentz transformations emerge as the symmetry group that preserves this conservation law.

This is a profound inversion:

Standard physics:

- Lorentz symmetry → conservation laws

Obidi's ToE:

- Entropy flux conservation → Lorentz symmetry

This is a deeper, more structural use of entropy than anything in:

- thermodynamics  

- statistical mechanics  

- information theory  

- quantum theory  

- general relativity  

Obidi made entropy the engine of spacetime, not a byproduct.

⭐ 4. Obidi restored determinism through entropy

Einstein hated fundamental randomness.

Obidi's ToE says:

- entropy flux is conserved  

- entropic evolution is constrained  

- randomness is emergent, not fundamental  

This aligns with Einstein’s deepest philosophical intuition.

Most physicists do not use entropy to restore determinism.  

Obidi did.

⭐ 5. Conclusion 

> Obidi’s Theory of Entropicity (ToE) takes the principle of entropy more seriously than conventional physics by elevating entropy flux to a fundamental geometric invariant. This single postulate generates relativistic kinematics, restores determinism, and positions entropy as the structural foundation of spacetime itself.

Scholium:

Why Entropy Must Be Taken Seriously: The Obidi Interpretation

The Theory of Entropicity (ToE) advances a position that departs sharply from the conventional treatment of entropy in physics. In standard thermodynamics and statistical mechanics, entropy is regarded as a macroscopic, statistical quantity—a measure of disorder, a bookkeeping device for inaccessible microstates, or a coarse‑grained descriptor of system evolution. It is rarely granted structural or geometric significance, and it plays no foundational role in determining the kinematics of spacetime.

Obidi’s formulation challenges this hierarchy. In ToE, entropy is not an emergent statistic but a primitive geometric entity. The central innovation is the elevation of entropy flux to the status of a fundamental 4‑current \(J^\mu_S\), governed by a strict continuity equation:

\[

\nabla\mu J^\muS = 0.

\]

This postulate does not assert that entropy itself is conserved—indeed, entropy may increase globally as systems explore larger configuration spaces. Instead, it asserts that the transport current of entropy is divergence‑free. Entropy may accumulate, disperse, or reorganize, but its flux cannot spontaneously appear or vanish. This distinction between entropy and entropy flux is essential: the former is thermodynamic, the latter is geometric.

By taking entropy flux as a foundational invariant, ToE positions entropy as the generator of spacetime structure. The conservation of \(J^\mu_S\) imposes non‑trivial constraints on admissible flows through the underlying manifold. These constraints, when required to hold in all admissible frames, give rise to an invariant causal structure and ultimately reproduce the Lorentz transformations and Einstein’s relativistic kinematics. In this sense, relativity is not assumed but emerges as the unique symmetry group that preserves the conservation of entropy flux.

This approach takes the principle of entropy more seriously than conventional physics in two decisive ways. 

First, it treats entropy flux as a geometric object with the same structural weight as charge current or energy–momentum. 

Second, it uses entropy—not light speed, not spacetime axioms—as the primitive from which relativistic kinematics arise. 

The result is a deterministic, constraint‑driven framework in which randomness is emergent rather than fundamental, aligning with Einstein’s philosophical intuition that the universe is governed by deep, continuous laws rather than intrinsic chance.

In this respect, Obidi’s interpretation represents a conceptual shift: entropy is no longer a passive measure of disorder but an active, structural principle shaping the geometry and dynamics of the universe.