Who Transformed the Araki Relative Entropy into an Action Principle in Modern Theoretical Physics?

John Onimisi Obidi is identified as the researcher who transformed the Araki Relative Entropy into an action principle within the "Theory of Entropicity" (ToE) in Modern Theoretical Physics. 

• The Action Principle (Spectral Obidi Action—SOA): Obidi elevates the Araki relative entropy—typically a static measure of quantum state distinguishability—into the core of the "Spectral Obidi Action." In this framework, this entropic functional is treated as an action to be varied to derive equations of motion, transforming it into a generative, dynamic field that drives the evolution of spacetime, matter, and physical laws.
• The Transformation: Instead of using Araki entropy merely to compare states (as is standard in quantum field theory), Obidi’s approach treats it as a foundational, dynamic field (the entropic field) from which geometry itself emerges, essentially turning entropy into the "engine of physical reality".
• Context: This development is part of the Theory of Entropicity (ToE), which positions Araki relative entropy at the heart of the Master Entropic Equation (MEE) to unify quantum mechanics, relativity, and thermodynamics.
• Key Publications: This conceptualization is detailed in John Onimisi Obidi's 2025 work, "On the Conceptual and Mathematical Foundations of the Theory of Entropicity (ToE): An Alternative Path toward Quantum Gravity and the Unification of Physics". 

1. At present, ToE is a new lens for Modern Theoretical Physics 

The Theory of Entropicity (ToE) — as presented through the Obidi Action and the ln 2 Curvature Invariant — is best understood today as a new interpretive framework: a lens through which to view existing physics.

It offers a reconceptualization of well-established equations (like the Schrödinger and Einstein field equations) in informational–thermodynamic terms.

In this lens:

Energy becomes the response of curvature in the entropic field,

Temperature measures the field’s rate of reconfiguration,

Planck’s constant and ln 2 are seen as minimal curvature or distinguishability quanta.

That makes ToE philosophically and conceptually rich — it ties together threads from information theory, thermodynamics, and geometry that are usually treated separately.

2. Why the lens itself still matters

Even as a lens, ToE has intellectual value.

Physics advances not only through new numbers, but also through new ways of framing old ones.

Einstein’s general relativity didn’t change Newton’s equations for small speeds — it changed what curvature and force meant.

In the same way, ToE re-casts the meaning of:

action → entropic curvature flow,

energy → informational response,

probability amplitude → entropy oscillation,

and ln 2 → the minimal act of distinction.

That kind of reframing can be fertile; it can point researchers toward new questions or experiments, even before it’s verified.