The Spectral Obidi Action (SOA) of the Theory of Entropicity (ToE)

Spectral Obidi Action (or just "Obidi Action") is part of the Theory of Entropicity (ToE) developed by John Onimisi Obidi.

The Obidi Action

The Obidi Action is a universal variational principle for the entropy field that governs the core dynamics in the Theory of Entropicity  (nLab) .

Key Aspects of the Theory:

Fundamental Premise: The Theory of Entropicity proposes that entropy is the single, fundamental physical field of reality, replacing mass/energy and spacetime with the entropy field S(x) as the primary substrate of existence  (nLab) .

The Obidi Action Principle: Variation of this action with respect to the metric and the entropy field yields two coupled Euler-Lagrange equations: an Entropic Field Equation analogous to Einstein's Field Equations where both the curvature tensor and the stress-energy tensor are explicit functions of the entropy field S(x), and an Entropy Flow Equation that governs the propagation of the scalar entropy field itself  (nLab) .

Mathematical Framework: The theory introduces a synthesis of three geometric formalisms including the Fisher-Rao Metric, which encodes the classical curvature of entropy underlying spacetime curvature and is related to Shannon entropy  (nLab) .

This is a highly ambitious and novel theoretical framework attempting to unify General Relativity, Quantum Mechanics, and Thermodynamics through an entropy-based foundation. The theory appears to be relatively recent (2025) and represents an alternative approach to quantum gravity and the unification of physics.