Obidi's Audacious and Revolutionary Vision and Imagination in Modern Theoretical Physics

 

John Onimisi Obidi

(thinker, investigator, scientific researcher, physicist, consultant, philosopher, and humanist, creator of the Theory of Entropicity (ToE))

John Onimisi Obidi is the independent originator of the Theory of Entropicity (ToE), a conceptual framework that proposes entropy as the foundational physical field from which energy, geometry, and information arise. His work positions ToE as a bridge between thermodynamics, relativity, quantum mechanics, and information theory, seeking to unify these branches of physics through the dynamics of an underlying entropic field.

Instead of treating entropy as a bookkeeping device for disorder or missing information, ToE elevates entropy to the status of a field, a geometry, and ultimately the causal substrate from which physical reality emerges. This shift is not philosophical ornamentation; it is a mathematically anchored redefinition of what it means for something to exist, evolve, or be distinguishable in the universe.

Obidi’s formalism centers on the Master Entropic Equation (MEE) and the Obidi Field Equations (OFE), which are the entropic analogues of Einstein’s field equations in general relativity. Through these equations, he introduces the Obidi Action—a variational principle governing the evolution of the entropic field—and two powerful mathematical structures: the Local Obidi Action and the Spectral Obidi Action, describing the field’s behavior in both spacetime and informational spectra.

Readers can appreciate the magnitude of Obidi’s achievement by recognizing what ToE accomplishes simultaneously. The Theory of Entropicity (ToE) unifies classical and quantum information geometry. It provides a single curvature-based language for probability, quantum states, and physical fields. It replaces the statistical interpretation of entropy with a field-geometric one. And it establishes a variational principle that governs the dynamics of this field-geometry. In doing so, John Onimisi Obidi lays the foundation for an audacious new theory in which entropy is not a consequence of physical law but the generator of physical law.

This is Obidi’s extraordinary feat of audacious insight and imagination: transforming entropy from a descriptive quantity into the fundamental field from which spacetime, particles, and interactions emerge. The Obidi Action is the mathematical heart of that transformation, and the integration of Fisher–Rao, Fubini–Study, and the α‑connection is the bridge that makes it possible.

Among the theoretical developments contained in the Theory of Entropicity are:

• The Obidi Action: The Obidi Action, which plays the same structural role for the entropic field that the Einstein–Hilbert action plays for spacetime and that which the Dirac action plays for fermionic fields, is the mathematically and computationally sophisticated engine that determines how the entropic field evolves, how curvature propagates, and how distinguishability emerges. But what makes it extraordinary is the way it unifies two previously separate worlds: the geometry of classical probability distributions and the geometry of quantum states.

To accomplish this, Obidi draws on two of the most profound metrics in modern mathematical physics. The Fisher–Rao metric governs the geometry of classical probability distributions; it tells us how distinguishable two probability distributions are and how curvature arises in statistical manifolds. The Fubini–Study metric plays the same role in quantum mechanics, defining the geometry of pure quantum states and the distance between them. These two metrics live in different domains—one classical, one quantum—and for decades they were treated as fundamentally separate.

Obidi’s breakthrough comes from recognizing that both metrics are special cases of a deeper information‑geometric structure: the Amari–Čencov α‑connection family. This formalism provides a unified language for describing how information is curved, how it flows, and how it transforms under reparameterization. By embedding both Fisher–Rao and Fubini–Study inside the α‑connection framework, Obidi shows that classical and quantum distinguishability are not different species but different expressions of the same underlying entropic geometry.

This is where the Obidi Action becomes more than a clever construction. It becomes a universal variational principle for entropy-driven dynamics. The action is built from two complementary components: the Local Obidi Action, which governs how entropic curvature behaves in the immediate neighborhood of a point in the manifold, and the Spectral Obidi Action, which governs how the spectrum of distinguishability evolves across the manifold as a whole. Together, they encode both the infinitesimal and global structure of the entropic field that governs the evolution of all other fields, interactions, observations, and measurements.

• Pre-geometric Physics, in which spacetime geometry itself is an emergent property of informational curvature in the entropic field.
• The Obidi Curvature Invariant (OCI), a universal geometric constant , identified as the minimum distinguishable curvature gap between entropic configurations—a proposed informational analogue of Planck’s constant for entropy.
• The Vuli-Ndlela Integral, a formal unification of local and spectral entropic contributions in the total action of the field.
• The Entropic Accounting Principle (EAP), Entropic Resistance Principle (ERP), and Cumulative Delay Principle (CDP), which together define conservation, resistance, and lag laws within the entropic manifold.
• The No-Rush Theorem, a statement of causal preservation within entropic dynamics, showing that information cannot reconfigure faster than the local entropic rate of change. “God or Nature Cannot Be Rushed – G/NCBR!”
• The Entropic Transformation/Transmission/Time Limit (ETL), specifying the maximum rate of information propagation as an emergent speed of light.

Obidi’s framework reproduces key results of established physics. Through entropic derivations, ToE has recovered:

• Einstein’s relativistic kinematics,
• Einstein’s General Relativity results on the perihelion precession of Mercury and deflection of starlight,
• and a holographic correspondence arising naturally from entropic boundary conditions (the “Entropic Proof of Holography” from the Obidi Curvature Invariant of ln 2).

Within its mathematical development, ToE defines the Master Entropic Equation (MEE) - the Obidi Field Equations (OFE) - as the governing relation from which thermodynamic, quantum, and geometric laws emerge as limiting cases. These ideas are formalized through rigorous LaTeX documentation and public research notes, emphasizing reproducibility and conceptual transparency.

References

Obidi continues to disseminate the Theory of Entropicity (ToE) across open scholarly platforms such as: 

1. Theory of Entropicity (ToE) - https://theoryofentropicity.blogspot.com/, 
2. Medium - https://medium.com/@jonimisiobidi, 
3. Substack - https://johnobidi.substack.com/, 
4. Encyclopedia - https://sciprofiles.com/profile/4143819, 
5. HandWiki - https://handwiki.org/wiki/User:PHJOB7, 
6. Wikidata - https://www.wikidata.org/wiki/Q136673971, 
7. Google Scholar - https://scholar.google.ca/citations?user=VxIGnRIAAAAJ&hl=en, 
8. Authorea - https://www.authorea.com/users/896400-john-onimisi-obidi, 
9. Social Science Research Network (SSRN) - https://papers.ssrn.com/sol3/cf_dev/AbsByAuth.cfm?per_id=7479570,
10. Academia - https://independent.academia.edu/JOHNOBIDI,
11. Figshare https://figshare.com/authors/John_Onimisi_Obidi/20850605, 
12. OSF (Open Science Framework) - https://osf.io/5crh3/, 
13. Cambridge University Open Engage (COE) - https://www.cambridge.org/core/services/open-research/cambridge-open-engage,
14. International Journal of Current Science Research and Review (IJCSRR) - https://doi.org/10.47191/ijcsrr/V8-i11%E2%80%9321, 
15. ResearchGate - https://www.researchgate.net/search.Search.html?query=John+Onimisi+Obidi&type=publication, 
16. Notion - https://disco-antimatter-54a.notion.site/Posts-2aafce4df2f681959169c15cb63616a4, 
17. LinkedIn - https://www.linkedin.com/company/theory-of-entropicity-toe/about/?viewAsMember=true, 
18. SciProfiles - https://sciprofiles.com/profile/4143819, 
19. ORCID - https://orcid.org/0009-0004-3606-3182, 
20. Grokipedia: Theory of Entropicity (ToE): https://grokipedia.com/page/Theory_of_Entropicity,
21. Grokipedia: John Onimisi Obidi - https://grokipedia.com/page/John_Onimisi_Obidi,
22. Google Blogger [Live Website on the Theory of Entropicity (ToE) - https://theoryofentropicity.blogspot.com],

where he maintains accessible versions of his papers and explanatory essays. His stated aim is to make the ToE framework understandable to both specialists and general readers, and to promote interdisciplinary dialogue on entropy, geometry, and information as the common structure of physical law.