Web App for Studying and Doing Research on the Theory of Entropicity (ToE). Version 2.0

Here we provide a summary of the interactive application and the underlying research, along with the downloadable files.

Interactive ToE Study Companion

The web app The Theory of Entropicity (ToE) is a self-contained study dashboard that loads in any modern browser (no server or installation required). Key features include:

• Concept Explorer: A sidebar lists major topics—such as entropy as a fundamental field, the Obidi Action & Master Entropic Equation, entropic force, Mercury’s perihelion precession, adaptive laws of physics, and comparisons with holographic pseudo‑entropy. Selecting a topic displays the full entry with citations.
• Smart Search: An intuitive search bar uses fuzzy matching (via Fuse.js) to return the most relevant entries. Each result shows an excerpt; clicking Show more toggles the full, richly formatted explanation with citations.
• Clean, responsive UI: The app is styled with Bootstrap and custom CSS for a polished dashboard-like layout. It adapts to different screen sizes and is fully keyboard accessible.

Content Highlights

The app’s dataset synthesizes peer‑reviewed articles/papers and preprints on the Theory of Entropicity (ToE):

• Entropy as the fundamental field: ToE elevates entropy from a measure of disorder to the dynamic fabric from which space, time, motion and matter emerge. In this view, time is the flow of entropy and space maps entropic gradients.
• Obidi Action & Master Entropic Equation (MEE): A variational principle (the Obidi Action) leads to the MEE, which governs how entropy gradients evolve and couple to geometry and matter. In the low‑entropy limit, the MEE reduces to Einstein’s general relativity.
• Iterative solutions & information geometry: Solutions to the MEE are obtained iteratively, reflecting the probabilistic nature of entropy. The Vuli–Ndlela integral generalizes Feynman’s path integral, summing over entropic configurations weighted by reversible and irreversible dynamics.
• Entropic force & emergent curvature: ToE replaces fundamental forces with entropy-driven constraints; gradients of an active entropy field create effective forces and curvature. The entropic force is and the effective metric arises from second derivatives of the entropy potential.
• Mercury’s perihelion: ToE reproduces the observed 43″/century perihelion shift of Mercury using entropy‑driven corrections to Newtonian gravity rather than spacetime curvature.
• Adaptive laws of physics: The theory posits that physical laws emerge from and adapt to the entropic field, leading to the No‑Rush theorem and other adaptive rules.
• Comparison with pseudo‑entropy: Recent holographic pseudo‑entropy constructions are shown to be special linearized limits of ToE’s Master Entropic Equation; ToE provides a unifying framework that explains dark matter, dark energy and vacuum entropic pressure.

How to Download and Use the App

All source files are packaged in a single ZIP archive. Download the app, extract it, and open index.html in your browser to start exploring.

Download:

We can provide you with the app dataset upon request. Feel free to extend or modify the dataset; it’s defined in a simple JavaScript file (data.js), making it easy to update entries as new research emerges. Enjoy exploring the Theory of Entropicity (ToE)!

Are Physical Laws Eternal in the Theory of Entropicity (ToE)?

The Theory of Entropicity (ToE), as first formulated and further developed by John Onimisi Obidi, does not commit to the classical assumption that the laws of physics are eternal or immutable. Instead, ToE introduces a deeper principle: the universe is governed not by static laws, but by dynamic constraints determined by the flow, distribution, and gradients of entropy.

In this framework, what we call a “law of physics” is not an absolute decree inscribed into the fabric of reality from the beginning of time. Rather, it is an emergent, entropy-conditioned rule that arises from the structure of the entropic field at a given epoch of the universe. As the entropic field evolves—redistributing density, modifying flows, and restructuring constraints—the effective laws that govern physical phenomena may also evolve.

This view represents a dramatic shift from traditional physics. Classical and relativistic theories assume that laws are timeless, fixed, and universally valid. ToE challenges this assumption by arguing that laws are manifestations of entropy, not metaphysical absolutes. If entropy is the fundamental field, and if it evolves irreversibly according to its own constraints, then the laws derived from it cannot remain eternally fixed. They must reflect the changing entropic configuration of the universe.

In this sense, the ToE does not state that laws “decay” or “break.” Instead, it proposes that the universe passes through different entropic regimes, and each regime supports its own consistent set of dynamical rules. The irreversibility built into the Vuli Ndlela Integral, the No-Rush Theorem, and entropic geodesics implies that the universe is continuously reorganizing itself. As it does so, the effective laws—such as the strength of interactions, the behavior of fields, the structure of spacetime, and even the mathematical relationships we currently call “constants”—may take new forms that remain compatible with the prevailing entropic landscape.

This is not chaos; it is structured evolution. The entropic field preserves consistency while allowing transformation.

Thus, in the Theory of Entropicity, laws are not eternal—they are adaptive expressions of a deeper, evolving entropic order.

App Deployment on the Theory of Entropicity (ToE):

App on the Theory of Entropicity (ToE): Click or Open on web browser (a GitHub Deployment - WIP): Theory of Entropicity (ToE)

https://phjob7.github.io/JOO_1PUBLIC/index.html

 

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)

 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.

App Deployment on the Theory of Entropicity (ToE):

App on the Theory of Entropicity (ToE): Click or Open on web browser (a GitHub Deployment - WIP): Theory of Entropicity (ToE)

https://phjob7.github.io/JOO_1PUBLIC/index.html

 

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.