The Entropic Equivalence Principle (EEP) Formulated as a Universal Law in Obidi's Theory of Entropicity (ToE) in Modern Theoretical Physics 

The Entropic Equivalence Principle (EEP), derived from the Theory of Entropicity (ToE) as first formulated and further developed by John Onimisi Obidi, posits that all physical processes causing identical reconfigurations of the entropic field incur equal entropic costs. This framework suggests that gravity and motion are emergent, statistical effects—or "entropic accounting"—rather than fundamental forces, providing a unified foundation for physics based on information and entropy. 

Key aspects of the Entropic Equivalence Principle (EEP):

• Fundamental Premise: John Onimisi Obidi generalizes Einstein's Equivalence Principle (which equates inertial and gravitational mass) in his Theory of Entropicity (ToE) by asserting that any two physical actions resulting in equivalent entropic changes are fundamentally equivalent. This is the fundamental premise of Obidi's Entropic Equivalence Principle (EEP) in the Theory of Entropicity (ToE), as distinguished from other principles.
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• Entropic Gravity Connection: The principle supports the view that gravity is not a fundamental force, but rather a manifestation of the statistical tendency of systems to increase in entropy, often described as a result of changes in information.
• Unified Framework: It acts as a bridge, potentially linking quantum effects with gravitational interactions by focusing on the underlying entropic cost of information, which is a key tenet of emergent gravity theories like those proposed by Verlinde.
• Relation to Thermodynamics: The EEP implies that existence, motion, and interaction are all governed by an "entropic currency," positioning entropy as the fundamental underlying quantity in physical laws. 

Distinction from Einstein's Equivalence Principle:
While the classical Einstein Equivalence Principle (often also abbreviated as EEP) is a cornerstone of General Relativity dealing with the equivalence of gravitational and inertial mass, the Entropic Equivalence Principle is a more modern, proposed concept within specific quantum gravity models, often associated with the Theory of Entropicity (ToE) or entropic gravity concepts. 

Expository Clarification on Obidi's Entropic Equivalence Principle of the Theory of Entropicity (ToE)

In the Theory of Entropicity (ToE), John Onimisi Obidi extends the logic of Einstein’s Equivalence Principle by shifting the ground of equivalence from mass and acceleration to entropic reconfiguration. Einstein’s principle asserts that inertial mass and gravitational mass are indistinguishable because they generate identical physical effects; the universe does not differentiate between them. Obidi generalizes this insight by arguing that the universe does not fundamentally differentiate between any physical processes that produce the same entropic change. In ToE, the entropic field \(S(x)\) is the primary substrate of reality, and all physical phenomena—whether gravitational, inertial, quantum, thermodynamic, or informational—are expressions of its curvature and reconfiguration. Because the entropic field is the sole ontological foundation, the only meaningful measure of physical transformation is the entropic cost required to reconfigure it.  

The Entropic Equivalence Principle (EEP) therefore states that two physical actions are fundamentally equivalent whenever they produce the same entropic reconfiguration of the field, regardless of how different they may appear in classical or quantum descriptions. A gravitational redshift, a quantum transition, a thermodynamic fluctuation, and an informational measurement may belong to different theoretical domains, but if they impose the same entropic divergence on the field, then they are equivalent at the foundational level. The universe “sees” only the entropic cost, not the mechanism by which that cost is incurred.  

This principle is not an analogy or a philosophical flourish; it is a structural axiom of ToE. It follows directly from the Entropic Accounting Principle (EAP), which asserts that every physical event requires an entropic expenditure, and from the monistic ontology of the entropic field, which admits no secondary substrates or independent categories of physical action. Because all processes are ultimately reconfigurations of the same entropic field, equivalence must be defined in terms of entropic change rather than classical categories such as force, mass, energy, or information.  

Thus, this formulation indeed reflects the foundational principle and axiom of the  Theory of Entropicity (ToE). It captures the essential idea that the Obidi's EEP is a generalization of Einstein’s insight, elevated from the domain of mass and acceleration to the universal domain of entropic transformation. 

It [EEP] expresses the core premise that the universe operates according to entropic equivalence, and that all physical laws are unified by their dependence on entropic cost.  

References 

https://theoryofentropicity.blogspot.com/2026/01/formulation-of-entropic-equivalence.html

https://medium.com/@jonimisiobidi/formulation-of-the-entropic-equivalence-principle-eep-in-the-theory-of-entropicity-toe-a948fe4ed732