John Onimisi Obidi’s Foundational Insight Behind his Invention of the Theory of Entropicity (ToE)

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John Onimisi Obidi’s Foundational Insight Behind his Theory of Entropicity (ToE)

A clear and moving articulation of Obidi's moment of revolutionary insight

My insight for the Theory of Entropicity (ToE) emerged from a very simple but profound line of reasoning. Einstein associated spacetime geometry with a field in General Relativity. In GR, geometry is not passive—it is a dynamical field that shapes motion and is shaped by energy. This showed the world that geometry and physics are inseparable.

Separately, modern developments in information theory reveal that information itself possesses geometry. Information geometry teaches us that statistical states and quantum states naturally carry metrics—such as the Fisher–Rao metric, the Fubini–Study metric, and the Amari–Čencov α-connections. These are not arbitrary constructions; they arise inevitably whenever one tries to quantify distinguishability, uncertainty, or informational structure.

Here is where the key insight arises:
If information has a geometry, and information geometry is metric-based, then there must be a deep link between these informational metrics and the geometry of physical spacetime.

Once this became clear, the next step was unavoidable. Information is fundamentally linked to entropy. In fact, entropy is the foundational quantity beneath all informational measures—from Shannon entropy to von Neumann entropy to generalized entropies.

Therefore:

• If information has a geometry,

• and information is inseparably connected to entropy,

• then entropy itself must possess a metric structure.

But if entropy has a metric, then entropy must also have a field, in the same sense that Einstein gave us a gravitational field by equipping spacetime with a metric tensor. In other words, entropy cannot remain a mere thermodynamic scalar; it must be elevated to the status of a physical field with its own dynamics, constraints, and geometric influence.

From this reasoning, the Theory of Entropicity (ToE) was born.

I concluded that entropy is not just a bookkeeping device for disorder or probability. It is a universal geometric field that shapes reality in the same way that the metric tensor shapes spacetime in GR. Entropy determines possible trajectories, imposes constraints, drives evolution, and governs interactions across all physical systems. In the same way Einstein unified gravity and geometry, the ToE unifies geometry, information, and entropy into one coherent field-theoretic framework.

This was the conceptual spark that made the Theory of Entropicity inevitable.

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Sources — help

1. ijcsrr.org
2. researchgate.net
3. encyclopedia.pub
4. medium.com
5. medium.com
6. medium.com
7. medium.com
8. encyclopedia.pub
9. figshare.com
10. researchgate.net
11. medium.com
12. researchgate.net
13. cambridge.org

References

1. Obidi, John Onimisi. (12th November, 2025). On the Theory of Entropicity (ToE) and Ginestra Bianconi’s Gravity from Entropy: A Rigorous Derivation of Bianconi’s Results from the Entropic Obidi Actions of the Theory of Entropicity (ToE). Cambridge University. https//doi.org/10.33774/coe-2025-g7ztq
2. John Onimisi Obidi. (6th November, 2025). Comparative analysis between john onimisi obidi’s theory of entropicity (toe) and waldemar marek feldt’s feldt–higgs universal bridge (f–hub) theory. International Journal of Current Science Research and Review, 8(11), pp. 5642–5657, 19th November 2025. URL: https://doi.org/10.47191/ijcsrr/V8-i11–21
3. Obidi, John Onimisi. 2025. On the Conceptual and Mathematical Foundations of the Theory of Entropicity (ToE): An Alternative Path toward Quantum Gravity and the Unification of Physics. Cambridge University. Published October 17, 2025. https://doi.org/10.33774/coe-2025-1dsrv
4. Obidi, John Onimisi (17th October 2025). On the Conceptual and Mathematical Foundations of the Theory of Entropicity (ToE): An Alternative Path toward Quantum Gravity and the Unification of Physics. Figshare. https://doi.org/10.6084/m9.figshare.30337396.v2
5. Obidi, John Onimisi. 2025. A Simple Explanation of the Unifying Mathematical Architecture of the Theory of Entropicity (ToE): Crucial Elements of ToE as a Field Theory. Cambridge University. Published October 20, 2025. https://doi.org/10.33774/coe-2025-bpvf3
6. Obidi, John Onimisi (15 November 2025). The Theory of Entropicity (ToE) Goes Beyond Holographic Pseudo-Entropy: From Boundary Diagnostics to a Universal Entropic Field Theory. Figshare. https://doi.org/10.6084/m9.figshare.30627200.v1
7. Obidi, John Onimisi. Unified Field Architecture of Theory of Entropicity (ToE). Encyclopedia. Available online: https://encyclopedia.pub/entry/59276 (accessed on 19 November 2025).
8. Obidi, John Onimisi. (4 November, 2025). The Theory of Entropicity (ToE) Derives Einstein’s Relativistic Speed of Light © as a Function of the Entropic Field: ToE Applies Logical Entropic Concepts and Principles to Derive Einstein’s Second Postulate. Cambridge University. https://doi.org/10.33774/coe-2025-f5qw8-v2
9. Obidi, John Onimisi. (28 October, 2025). The Theory of Entropicity (ToE) Derives and Explains Mass Increase, Time Dilation and Length Contraction in Einstein’s Theory of Relativity (ToR): ToE Applies Logical Entropic Concepts and Principles to Verify Einstein’s Relativity. Cambridge University. https://doi.org/10.33774/coe-2025-6wrkm
10. HandWiki contributors, “Physics:Theory of Entropicity (ToE) Derives Einstein’s Special Relativity,” HandWiki, https://handwiki.org/wiki/index.php?title=Physics:Theory_of_Entropicity_(ToE)_Derives_Einstein%27s_Special_Relativity&oldid=3845936

Further Resources on the Theory of Entropicity (ToE):

1. Website: Theory of Entropicity ToE — https://theoryofentropicity.blogspot.com
2. LinkedIn: Theory of Entropicity ToE — https://www.linkedin.com/company/theory-of-entropicity-toe/about/?viewAsMember=true
3. Notion-1: Theory of Entropicity (ToE)
4. Notion-2: Theory of Entropicity (ToE)
5. Notion-3: Theory of Entropicity (ToE)
6. Notion-4: Theory of Entropicity (ToE)
7. Substack: Theory of Entropicity (ToE) — John Onimisi Obidi | Substack
8. Medium: Theory of Entropicity (ToE) — John Onimisi Obidi — Medium
9. SciProfiles: Theory of Entropicity (ToE) — John Onimisi Obidi | Author
10. Encyclopedia.pub: Theory of Entropicity (ToE) — John Onimisi Obidi | Author
11. HandWiki contributors, “Biography: John Onimisi Obidi,” HandWiki, https://handwiki.org/wiki/index.php?title=Biography:John_Onimisi_Obidi&oldid=2743427 (accessed October 31, 2025).
12. HandWiki Contributions: Theory of Entropicity (ToE) — John Onimisi Obidi | HandWiki
13. HandWiki Home: Theory of Entropicity (ToE) — John Onimisi Obidi | HandWiki
14. HandWiki Homepage-User Page: Theory of Entropicity (ToE) — John Onimisi Obidi | HandWiki
15. Academia: Theory of Entropicity (ToE) — John Onimisi Obidi | Academia
16. ResearchGate: Theory of Entropicity (ToE) — John Onimisi Obidi | ResearchGate
17. Figshare: Theory of Entropicity (ToE) — John Onimisi Obidi | Figshare
18. Authoria: Theory of Entropicity (ToE) — John Onimisi Obidi | Authorea
19. Social Science Research Network (SSRN): Theory of Entropicity (ToE) — John Onimisi Obidi | SSRN
20. Wikidata contributors, Biography: John Onimisi Obidi “Q136673971,” Wikidata, https://www.wikidata.org/w/index.php?title=Q136673971&oldid=2423782576 (accessed November 13, 2025).
21. Google Scholar: ‪John Onimisi Obidi — ‪Google Scholar
22. IJCSRR: International Journal of Current Science Research and Review - Theory of Entropicity (ToE) - John Onimisi Obidi | IJCSRR
23. Cambridge University Open Engage (CoE): Collected Papers on the Theory of Entropicity (ToE)

Obidi's Rich and Ambitious Theory of Entropicity (ToE) in Modern Theoretical Physics 

The Theory of Entropicity (ToE), proposed by John Onimisi Obidi, is a radical new framework suggesting that entropy isn't just disorder but a fundamental, dynamic field generating reality, unifying gravity, quantum mechanics, and relativity by explaining motion, time, and forces as emergent properties of this universal entropic field, aiming to resolve major physics paradoxes like the arrow of time and black hole information loss by reinterpreting fundamental constants and causality. It posits an "Obidi Action" and "Master Entropic Equation," treating the universe as an entropy-governed system where gravity itself becomes an information force. 

Key Concepts of the Theory of Entropicity: 

• Entropy as a Fundamental Field: Elevates entropy (
  

  $S$
  ) from a statistical measure to a continuous, dynamic field, the actual substrate of existence, rather than just a byproduct of disorder.
• Emergence of Reality: Motion, gravity, and time arise from the gradients and dynamics of this entropic field, with inertia being resistance to entropic rearrangement.
• Unification of Physics: Aims to integrate thermodynamics, relativity (Einstein's geometry), quantum mechanics, and information theory into a single entropic continuum.
• Entropic Gravity: Gravity is described as an entropic phenomenon, potentially explaining dark matter/energy and connecting to quantum information.
• Redefinition of Constants: The speed of light (c) and other laws become consequences of entropy, not independent decrees.
• Obidi Action & MEE: Introduces specific mathematical principles, like the Obidi Action and Master Entropic Equation, for describing the field dynamics. 

Why Obidi's Theory of Entropicity (ToE) is Considered "Rich" and Ambitious: 

• Conceptual Shift: It challenges core assumptions, asking us to view causality, time, and existence through an entropic lens.
• Broad Scope: Offers explanations for deep puzzles in physics, such as the measurement problem, information loss in black holes, and the arrow of time, bridging gaps between fields.
• Mathematical Rigor: Develops a a highly rigorous and unifying mathematical framework with field equations, spectral operators, and coupling laws. 

In essence, ToE proposes that the universe fundamentally operates through entropy, making it a deeply comprehensive and potentially revolutionary reformulation of physics. 

On Obidi's Heresy in his Ontological Inversion of Core Tenets of Modern Theoretical Physics in his Theory of Entropicity (ToE)

"Obidi's Heresy" refers to the central, provocative claim within John Onimisi Obidi's Theory of Entropicity (ToE) that entropy is the fundamental, causal field of reality, rather than a secondary, statistical measure of disorder. This challenges centuries of established physics principles. 

Core Tenets of the Heresy 

The "heresy" lies in several radical inversions of conventional physics: 

• Entropy as Primary Reality: In standard physics, entropy is a macroscopic, statistical byproduct of underlying microscopic laws. ToE asserts the opposite: entropy is the primary, autonomous field from which all other physical phenomena, including space, time, energy, and matter, emerge.
• Geometry as Downstream, not Upstream: Where Einstein's general relativity posits that spacetime geometry dictates gravity, ToE argues that geometry is merely the way the fundamental entropic field arranges itself. Spacetime curvature is a manifestation of entropy flow, making gravity an emergent property, not a fundamental force.
• Time as a Process: The universal arrow of time and causality are not external assumptions but intrinsic properties arising from the irreversible, one-directional flow of the entropic field, as governed by the "No-Rush Theorem" and the "Vuli–Ndlela Integral".
• Speed of Light as an Entropic Limit: The universal constant
  

  $c$
  is reinterpreted not just as the speed of light, but as the maximum possible rate of entropic rearrangement or information flow within the universe. 

Implications of Obidi's Heresy within the Theory of Entropicity 

Obidi's framework, formalized through the Obidi Action and the Master Entropic Equation (MEE), aims to provide a unified framework for physics where: 

• Mass Increase at Relativistic Speeds (Einstein's Special Relativity) is explained by the entropic field allocating more capacity to maintain an object's internal order, which manifests as increased mass and demands more entropic effort to accelerate further (known as "Obidi's Loop").
• Quantum Mechanics phenomena like wave function collapse are interpreted as entropy enforcing irreversibility at the point of measurement, aligning quantum evolution with entropic flow. 

In essence, Obidi's heresy is the profound reordering of ontology: instead of deriving entropy from physics, the Theory of Entropicity derives all of physics from entropy dynamics.