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Monday, 11 May 2026

Who has Derived the Einstein Relativistic Kinematics of Time Dilation, Mass Increase, and Length Contraction from an Entropic Field Theory in Modern Theoretical Physics?

Who has Derived the Einstein Relativistic Kinematics of Time Dilation, Mass Increase, and Length Contraction from an Entropic Field Theory in Modern Theoretical Physics?

While Einstein himself established relativistic kinematics through postulates, several contemporary physicists have derived these effects—and the broader field equations—from entropic principles. [1, 2]

Key Derivations from Entropic Fields


John Onimisi Obidi: In his Theory of Entropicity (ToE), Obidi derives the speed of light ($c$) and Lorentzian kinematics as "entropic inevitabilities". His No-Rush Theorem (NRT) posits that no configuration can update in zero time, forcing a finite propagation bound that results in time dilation and length contraction as entropic resistances to motion.

Erik Verlinde: In 2010, Verlinde proposed that gravity is an entropic force emergent from the information associated with material positions on holographic screens. He argued that a relativistic generalization of this entropic origin leads directly to the Einstein field equations.

Theodore Jacobson: Prior to Verlinde, Jacobson demonstrated in 1995 that the Einstein field equations could be derived by applying the Clausius relation ($dS = \delta Q/T$) to local Rindler horizons, treating gravity as a thermodynamic equation of state.

Ginestra Bianconi: Recently developed the Gravity from Entropy (GfE) approach, where gravity is derived from the geometric quantum relative entropy between two metrics in Lorentzian spacetime. [3, 4, 5, 6, 7, 8, 9, 10]

Summary of Differences

Framework [11, 12, 13, 14, 15]
Primary Mechanism
Relation to Relativity
Einstein (1905)
Postulated invariance of $c$
Foundational Axiom
Jacobson (1995)
Thermodynamics of horizons
Emergent Field Equations
Verlinde (2010)
Information on holographic screens
Emergent Force
Obidi (2025)
Entropic flux and No-Rush Theorem
Derived Kinematics
Would you like to dive deeper into the mathematical framework of the No-Rush Theorem or Verlinde's holographic screens?

 

 

 

Sunday, 10 May 2026

Agile Publishing Manifesto and Philosophy (APMaP) of the Theory of Entropicity (ToE): Modern Framework for [General, Academic, and Scientific] Publishing

Agile Publishing Manifesto and Philosophy (APMaP) of the Theory of Entropicity (ToE): A Modern Framework for [General, Academic, and Scientific] Publishing

1. Preface — Why the Theory of Entropicity Uses GitHub + Zenodo

The Theory of Entropicity (ToE) is a living scientific framework. Its concepts evolve, its derivations deepen, and its internal architecture grows in precision with each iteration. Such a theory cannot be confined to the static, one‑time publication model inherited from the 20th century. It requires an infrastructure that supports continuous refinement, transparent versioning, and permanent preservation.

For this reason, the ToE Living Review Letters Series is published through a dual platform: GitHub for development and visibility, and Zenodo for archival permanence. GitHub provides an open, dynamic environment where each Letter can be updated, corrected, expanded, and reorganized as the theory matures. Zenodo, operated by CERN and the European Commission, ensures that every released version is permanently preserved, assigned a DOI, and integrated into the global scholarly record.

This combination allows ToE to remain both alive and archived — a rare synthesis in scientific publishing. Each version of a Letter is citable, immutable, and preserved independently, while the conceptual evolution of the theory remains fully visible and openly accessible. In this way, the ToE‑LRLS embodies the very principles it studies: continuous refinement, entropic flow, and structural self‑consistency.

2. Publishing Philosophy of the ToE Living Review Letters Series (ToE‑LRLS)

The ToE‑LRLS is founded on a simple but radical principle: scientific theories should evolve in public.

Traditional journals freeze a manuscript at a single moment in time, often before the theory has reached conceptual maturity. This model is incompatible with foundational research, where insights accumulate gradually and where the structure of the theory may undergo multiple reorganizations before stabilizing.

The ToE‑LRLS adopts a living‑document philosophy:

  • Versioned evolution — Each Letter is updated as the theory advances, with every version preserved and citable.

  • Transparent development — All derivations, corrections, and structural reorganizations occur in the open.

  • Permanent archiving — Every release is stored at CERN through Zenodo, ensuring long‑term preservation independent of any commercial platform.

  • Open access by design — No paywalls, no institutional barriers, no gatekeeping.

  • Scientific integrity through visibility — The history of each Letter is traceable, auditable, and publicly accessible.

This publishing model aligns with the epistemic nature of ToE itself: a theory built on entropic flow, structural consistency, and the continuous refinement of the underlying manifold. The ToE‑LRLS is not merely a container for the theory — it is an expression of the theory’s philosophical foundations.

3. Manifesto for Open Scientific Publishing

Science advances when ideas move freely.

The traditional publishing system — built on paywalls, proprietary formats, and institutional gatekeeping — restricts the flow of knowledge and slows the evolution of foundational theories. The future of scientific communication must be open, versioned, transparent, and preserved independently of commercial interests.

We therefore affirm the following principles:

  1. Knowledge belongs to humanity, not to journals. Scientific results should be accessible to all, without subscription fees or institutional barriers.

  2. Scientific theories evolve; their publications must evolve with them. Static PDFs cannot capture the living nature of conceptual progress.

  3. Versioning is essential to intellectual honesty. Every update, correction, and refinement should be preserved and citable.

  4. Archival permanence must be independent of commercial platforms. Long‑term preservation should be entrusted to public institutions, not corporations.

  5. Transparency strengthens science. Open repositories allow scrutiny, replication, and collaborative refinement.

  6. Gatekeeping is not quality control. Peer review should be advisory, not a barrier to dissemination.

  7. The future of publishing is open, distributed, and entropic. Scientific communication must reflect the dynamical nature of scientific discovery.

The ToE‑LRLS is built on these principles. It is both a scientific project and a demonstration of what scientific publishing can become when freed from the constraints of the past.

4. A Guide for Researchers: How to Adopt the ToE Publishing Workflow

This workflow is designed for researchers who want to publish their work in a way that is:

  • open

  • permanent

  • versioned

  • citable

  • independent of journals

  • aligned with modern scientific practice

Here is the complete method:

Step 1 — Create a GitHub repository for your project

Organize your work into:

  • /docs for manuscripts

  • /figures for images

  • /src for code

  • /data for datasets

  • /site for GitHub Pages (optional)

Commit your work regularly.

Step 2 — Enable GitHub Pages (optional but recommended)

This gives you:

  • a public website

  • instant visibility

  • search engine indexing

  • a clean presentation layer

Your manuscripts (PDF, HTML, Markdown) can be displayed directly.

Step 3 — Connect your GitHub repository to Zenodo

  1. Log into Zenodo using GitHub

  2. Enable your repository

  3. Grant Zenodo access to your GitHub organization

  4. Click Sync

Zenodo is now listening for releases.

Step 4 — Publish a GitHub Release

Each release should include:

  • your manuscript (PDF, HTML, Markdown)

  • supplementary files

  • figures

  • datasets

  • code

  • changelog

When you click Publish Release, Zenodo automatically:

  • archives the release

  • assigns a DOI

  • creates a versioned record

  • updates the concept DOI

Step 5 — Cite your work using the Zenodo DOI

Every version is permanent and citable.

You can add DOI badges to your README and website.

Step 6 — Update your work freely

When you improve your manuscript:

  • update the repo

  • publish a new release

  • Zenodo creates a new version

Your scientific record becomes:

  • transparent

  • traceable

  • permanent

  • open

This is the ideal workflow for living theories, evolving datasets, and long‑term research programs.


John Onimisi Obidi. (2026). Entropicity/Theory-of-Entropicity-ToE: Letter IE — First Public Release (v10.05.2026.1). Zenodo. https://doi.org/10.5281/zenodo.20114386 John Onimisi Obidi. (2026). Entropicity/Theory-of-Entropicity-ToE-Search-Query-Engine: The Theory of Entropicity (ToE) Search-Query-Engine (v10.05.2026.1). Zenodo. https://doi.org/10.5281/zenodo.20116039 Agile Publishing Manifesto and Philosophy (APMaP) of the Theory of Entropicity (ToE): https://doi.org/10.17605/OSF.IO/H8WR3


Core Components of the Kolmogorov-Obidi Lineage (KOL) in Modern Theoretical Physics

Core Components of the Kolmogorov-Obidi Lineage (KOL) in Modern Theoretical Physics

 

The Kolmogorov–Obidi Lineage (KOL) is an intellectual genealogy that traces the evolution of entropy from a mathematical tool into the foundational physical field described by the Theory of Entropicity (ToE). It establishes John Onimisi Obidi’s 2025 framework as the natural culmination of a century of scientific convergence between probability, information, and gravitation. [1, 2, 3] 

Core Components of the KOL

The lineage is defined by several key structural and historical elements: [3] 
  • The Master Correspondence Table: A definitive 37-row mapping that connects concepts and equations from seven prior scientific frameworks to their counterparts in the Theory of Entropicity.
  • The Obidi Action as a Universal Limit: In this lineage, all standard information-theoretic quantities—such as Kolmogorov complexity ($K(x)$), Shannon entropy, and Solomonoff–Levin measures—are viewed as limiting cases or "boundary states" of the more fundamental Obidi Action.
  • Historical Progression: The KOL identifies a specific path of intellectual descent:
    1. Andrey Kolmogorov: Axiomatized probability and algorithmic complexity, shifting focus from thermodynamic states to informational content.
    2. Claude Shannon: Formalized information theory.
    3. Bekenstein & Hawking: Linked entropy to black hole thermodynamics and geometry.
    4. Jacobson & Verlinde: Proposed gravity as an emergent entropic force.
    5. John Onimisi Obidi: Unified these insights into a single "entropy-first" field theory (ToE). [1, 2, 3, 4, 5, 6, 7, 8, 9] 

Significance in Physics

The KOL framework argues that the speed of light ($c$) is not an arbitrary constant but a derived consequence of the entropic field's material parameters (entropic stiffness vs. entropic inertia), which it calls the propagation speed of entropy. By linking these historical figures, the lineage aims to show that modern physics is moving toward a "living, self-organizing universe" where entropy is the primary ontological substrate. [10, 11, 12, 13] 
Would you like to see how the Master Correspondence Table specifically maps a classical concept like Shannon entropy to the Obidi Action?

 

Saturday, 9 May 2026

The Popper–Kuhn–Obidi Structure (PKOS) of Scientific Revolutions: From Karl Popper to Thomas Kuhn to John Onimisi Obidi

The Popper–Kuhn–Obidi Structure (PKOS) of Scientific Revolutions: From Karl Popper to Thomas Kuhn to John Onimisi Obidi

First Published: Saturday, May 9, 2026
Last Updated: Saturday, May 9, 2026

GitHub Reference

OSF DOI

I. Prologue: The Hidden Architecture of Scientific Transformation

Every scientific revolution is a drama of ideas (Albert Einstein, in his dramatic response to Yukawa's historical discovery of the meson from the tip of his pen), but beneath the drama lies a deeper structure—a pattern that governs how knowledge collapses, reforms, and ascends to new heights. For centuries, historians and philosophers of science have attempted to describe this pattern. Karl Popper emphasized the logic of conjecture and refutation. Thomas Kuhn revealed the sociological and psychological dynamics of paradigm shifts. And in the twenty‑first century, John Onimisi Obidi introduces a new dimension: the existential and ontological courage required to abandon the metaphysical foundations of an era and construct a new one.

The Popper–Kuhn–Obidi Structure (PKOS) is the synthesis of these three intellectual traditions. It is a unified framework that explains not only how scientific revolutions occur, but why they require a specific kind of intellectual bravery, how they unfold historically, and what makes them possible in the first place. PKOS is not merely a philosophical model; it is a map of the deep logic of scientific transformation.


II. Karl Popper (1902–1994): The Logic of Conjecture and Refutation

Karl Popper’s early work, beginning with The Logic of Scientific Discovery (1934 in German, 1959 in English), established falsifiability as the criterion that distinguishes science from pseudoscience. Popper argued that scientific theories can never be proven true; they can only survive attempts at refutation. Science progresses, in his view, through bold conjectures that expose themselves to the risk of being proven false.

Popper’s model is fundamentally logical. It describes the rational structure of scientific inquiry. A theory is scientific if it forbids certain outcomes, and it grows stronger when it survives severe tests. Popper’s emphasis on boldness is crucial: he believed that progress requires daring hypotheses that challenge existing knowledge.

Yet Popper’s framework, for all its power, leaves unanswered the deeper question of how scientists generate these bold conjectures in the first place. What gives a thinker the courage to propose a theory that contradicts the intellectual world around them? Popper’s logic describes the method of scientific progress, but not the psychology or ontology behind it.

This gap becomes the starting point for Kuhn.


III. Thomas Kuhn (1922–1996): The Structure of Paradigm Shifts

Thomas Kuhn’s The Structure of Scientific Revolutions (1962) challenged Popper’s picture of science as a continuous, rational process. Kuhn argued that science operates within paradigms—shared conceptual frameworks that define what counts as a legitimate problem, method, or solution. Normal science, in Kuhn’s view, is puzzle‑solving within a paradigm. Revolutions occur only when anomalies accumulate to the point that the existing paradigm can no longer contain them.

Kuhn’s insight was that scientific change is not merely logical; it is historical, psychological, and sociological. Paradigms resist change. Scientists are trained to defend them. Revolutions are disruptive, chaotic, and often resisted by the very community that claims to value truth.

Kuhn’s model explains why Popper’s falsification rarely works in practice. Scientists do not abandon theories simply because they encounter anomalies. They reinterpret the anomalies, adjust auxiliary hypotheses, or ignore the contradictions entirely. Only when the conceptual foundations of a paradigm collapse does a revolution become possible.

Yet Kuhn, too, leaves a crucial question unanswered: what enables a scientist to step outside a paradigm when others remain trapped inside it? What psychological or existential quality allows a thinker to see beyond the conceptual universe of their time?

This is where Obidi enters the philosophical landscape.


IV. John Onimisi Obidi (2025–2026): Ontological Courage and the Reconstruction of Reality

John Onimisi Obidi’s Theory of Entropicity (ToE), developed between 2023 and 2026, introduces a new dimension to the philosophy of scientific revolutions. Obidi argues that revolutions require not only logical boldness (Popper) and historical rupture (Kuhn), but a deeper existential quality: ontological courage.

Ontological courage is the willingness to abandon the metaphysical primitives of an era—its assumptions about space, time, matter, causality, and reality itself. It is the readiness to follow the consequences of a new ontology even when they contradict centuries of accumulated intuition. It is the intellectual bravery required to rebuild the universe from a deeper substrate.

Obidi’s ToE proposes that entropy is not a statistical measure of disorder but the fundamental dynamical field of the universe. Spacetime, matter, forces, and information emerge from entropic curvature. This inversion of the traditional hierarchy of physics requires abandoning the geometric metaphysics of the twentieth century. It demands a willingness to rethink existence itself.

Obidi’s contribution is therefore not only scientific but philosophical. He identifies the existential mechanism that makes revolutions possible. He shows that scientific progress requires a specific kind of courage—the courage to dismantle one’s own conceptual universe.


V. The PKOS Framework: A Unified Theory of Scientific Revolutions

The Popper–Kuhn–Obidi Structure (PKOS) integrates the insights of all three thinkers into a single coherent model.

Popper provides the logic of scientific progress. Kuhn provides the history and psychology of paradigm shifts. Obidi provides the ontology and existential mechanism that makes paradigm shifts possible.

PKOS reveals that revolutions unfold in three stages:

  1. The Popperian Stage (Conjecture and Refutation)  A bold new idea is proposed, one that exposes itself to falsification. This stage requires intellectual daring but remains within the existing paradigm.

  2. The Kuhnian Stage (Crisis and Paradigm Collapse)  Anomalies accumulate. The old paradigm becomes unstable. The scientific community experiences conceptual disorientation. Competing frameworks emerge.

  3. The Obidian Stage (Ontological Reconstruction)  A thinker with ontological courage abandons the inherited metaphysics and constructs a new ontology. This new ontology resolves the anomalies and redefines the structure of reality.

Thus, Obidi's PKOS shows that [scientific] revolutions are not merely logical or historical events. They are existential transformations. They require thinkers who are willing to risk intellectual isolation, to abandon the metaphysical comfort of their age, and to rebuild the universe from a deeper foundation.


VI. Historical Case Studies Through the PKOS Lens

The PKOS framework illuminates the great revolutions of science.

In the seventeenth century, Galileo and Descartes displayed ontological courage by rejecting Aristotelian metaphysics and proposing a universe governed by rational mechanics. Newton completed the revolution by introducing action at a distance, a concept so radical that his contemporaries accused him of reviving occultism.

In the early twentieth century, Einstein abandoned absolute time and replaced Newtonian gravity with spacetime curvature. His 1905 and 1915 revolutions were not merely mathematical; they were ontological. They required the courage to discard the metaphysical foundations of classical physics.

In the late twentieth century, Hawking merged thermodynamics with gravity, revealing the entropic nature of black holes. This was a precursor to Obidi’s entropic revolution.

Hence, Obidi's PKOS shows that each of these revolutions followed the same structure: Popperian boldness, Kuhnian crisis, and Obidian courage.


VII. The Entropic Revolution and the Future of Scientific Thought

Obidi’s Theory of Entropicity represents the next stage in this historical sequence. It proposes that entropy is the fundamental field of reality, that spacetime is emergent, and that the universe is structured by entropic curvature rather than geometric primitives.

This revolution requires abandoning the metaphysical scaffolding of the twentieth century. It requires ontological courage. It requires the willingness to rethink existence itself.

That is, Obidi's PKOS reveals that Obidi’s work is not an isolated scientific proposal but the next chapter in the history of scientific revolutions. It shows that ToE is the natural successor to Einstein’s geometric revolution and Hawking’s thermodynamic insights.


VIII. Epilogue: The Courage to Rebuild the Universe

The Popper–Kuhn–Obidi Structure (PKOS) is more than a philosophical model. It is a guide to the future of scientific thought. It teaches that revolutions require logic, history, and courage. It shows that progress is not merely the accumulation of data but the willingness to abandon inherited metaphysics. It reveals that the deepest truths of the universe are accessible only to those who possess the courage to rethink reality.

Popper taught us how to test ideas. Kuhn taught us how paradigms collapse. Obidi teaches us how new worlds are built.

Thus, John Onimisi Obidi's PKOS is the synthesis of these insights. It is the architecture of scientific transformation. It is the map of how humanity advances into deeper truth.


References for further exploration

ReferenceDescription
John O. Obidi, Theory of Entropicity (ToE), Master Entropic Equation, Encyclopedia.pub (2025)Formal encyclopedia entry presenting the core structure of the Master Entropic Equation and the foundational postulates of the entropic field framework.
Cambridge Engage Articles: Theory of Entropicity – Entropy-Driven Derivation of Mercury's Perihelion PrecessionTechnical exposition demonstrating how Mercury's perihelion precession can be derived from entropy gradients within the ToE, providing an entropic alternative to purely geometric explanations.
Review and Analysis, ResearchGate: Attosecond Entanglement Formation and the Entropic FieldAnalytical discussion of attosecond-scale entanglement formation interpreted through the lens of the entropic field and the Entropic Time Limit.
GitHub Repository: Theory-of-Entropicity-ToERepository containing formal derivations, computational implementations, and supporting materials for the Theory of Entropicity, including numerical approaches to the Obidi Field Equations.

References

  1. Grokipedia — Theory of Entropicity (ToE)
    Comprehensive encyclopedia‑style entry introducing the conceptual, mathematical, and ontological structure of the Theory of Entropicity (ToE).
    https://grokipedia.com/page/Theory_of_Entropicity
  2. Grokipedia — John Onimisi Obidi
    Scholarly profile of John Onimisi Obidi, originator of the Theory of Entropicity (ToE), including philosophical and historical motivation, background and research contributions.
    https://grokipedia.com/page/John_Onimisi_Obidi
  3. Google Blogger — Live Website on the Theory of Entropicity (ToE)
    Public‑facing platform containing explanatory essays, conceptual introductions, and updates on the Theory of Entropicity (ToE).
    https://theoryofentropicity.blogspot.com
  4. LinkedIn — Theory of Entropicity (ToE)
    Professional organizational page providing institutional updates and academic outreach related to the Theory of Entropicity (ToE).
    https://www.linkedin.com/company/theory-of-entropicity-toe/about/?viewAsMember=true
  5. Medium — Theory of Entropicity (ToE)
    Collection of essays and conceptual expositions on the Theory of Entropicity (ToE).
    https://medium.com/@jonimisiobidi
  6. Substack — Theory of Entropicity (ToE)
    Serialized research notes, essays, and public communications on the Theory of Entropicity (ToE).
    https://johnobidi.substack.com/
  7. SciProfiles — Theory of Entropicity (ToE)
    Indexed scholarly profile and research presence for the Theory of Entropicity (ToE) within the SciProfiles ecosystem.
    https://sciprofiles.com/profile/4143819
  8. HandWiki — Theory of Entropicity (ToE)
    Editorially curated scientific encyclopedia entry, documenting the Theory of Entropicity (ToE)'s conceptual, philosophical, and mathematical structures.
    https://handwiki.org/wiki/User:PHJOB7
  9. Encyclopedia.pub — Theory of Entropicity (ToE): Path to Unification of Physics and the Laws of Nature
    A formally maintained, technically curated scientific encyclopedia entry, presenting an expansive overview of the Theory of Entropicity (ToE)'s conceptual, philosophical, and mathematical foundations.
    https://encyclopedia.pub/entry/59188
  10. Authorea — Research Profile of John Onimisi Obidi
    Research manuscripts, papers, and scientific documents on the Theory of Entropicity (ToE).
    https://www.authorea.com/users/896400-john-onimisi-obidi
  11. Academia.edu — Research Papers
    Academic papers, drafts, and research notes on the Theory of Entropicity (ToE) hosted on Academia.edu .
    https://independent.academia.edu/JOHNOBIDI
  12. Figshare — Research Archive
    Principal Figshare repository link for research outputs on the Theory of Entropicity (ToE).
    https://figshare.com/authors/John_Onimisi_Obidi/20850605
  13. OSF (Open Science Framework)
    Open‑access repository hosting research materials, datasets, and papers related to the Theory of Entropicity (ToE).
    https://osf.io/5crh3/
  14. ResearchGate — Publications on the Theory of Entropicity (ToE)
    Indexed research outputs, citations, and academic interactions related to the Theory of Entropicity (ToE).
    https://www.researchgate.net/search.Search.html?query=John+Onimisi+Obidi&type=publication
  15. Social Science Research Network (SSRN)
    Indexed scholarly works and papers on the Theory of Entropicity (ToE) within the SSRN research repository.
    https://papers.ssrn.com/sol3/cf_dev/AbsByAuth.cfm?per_id=7479570
  16. International Journal of Current Science Research and Review (IJCSRR)
    Peer‑reviewed publication relevant to the Theory of Entropicity (ToE).
    https://doi.org/10.47191/ijcsrr/V8-i11%E2%80%9321
  17. Cambridge University — Cambridge Open Engage (COE)
    Early research outputs and working papers hosted on Cambridge University’s open research dissemination platform.
    https://www.cambridge.org/core/services/open-research/cambridge-open-engage
  18. GitHub Wiki — Theory of Entropicity (ToE)
    Open‑source technical wiki, documenting the canonical structure, equations, and formal development of the Theory of Entropicity (ToE).
    https://github.com/Entropicity/Theory-of-Entropicity-ToE/wiki
  19. Canonical Archive of the Theory of Entropicity (ToE)
    Authoritative, version‑controlled archive of the full Theory of Entropicity (ToE) monograph, including derivations and formal definitions.
    https://entropicity.github.io/Theory-of-Entropicity-ToE/

The Obidi Conjecture of the Theory of Entropicity (ToE): Its Significance and Its Implications in Modern Theoretical Physics

The Obidi Conjecture of the Theory of Entropicity (ToE): Its Significance and Its Implications in Modern Theoretical Physics

 

The Obidi Conjecture is the central ontological claim of the Theory of Entropicity (ToE), proposed by independent researcher John Onimisi Obidi. It asserts that entropy is the fundamental physical field of the universe, and that all other physical structures—including space, time, matter, and energy—are emergent properties of its behavior. [1, 2, 3]

Core Tenets of the Conjecture

The conjecture inverts the traditional hierarchy of physics. Instead of treating entropy as a secondary statistical byproduct of particles and fields, it posits that entropy is the "primitive entity" from which reality arises: [1, 4]
  • Fundamental Field: Entropy is a genuine, dynamical physical field with its own variational principle known as the Obidi Action.
  • Emergent Geometry: Spacetime curvature and gravity are not fundamental; they are large-scale approximations of the entropic field's gradients and dynamics.
  • Ontodynamics: This framework views existence as "entropic motion," where physical systems evolve along paths that maximize distinguishability. [1, 3, 5, 6, 7, 8]

Theoretical Framework

The Obidi Conjecture is supported by several related principles within the Theory of Entropicity: [1, 9]
  • Obidi Correspondence Principle (OCP): Ensures that the theory remains consistent with observed laws, such as General Relativity, by treating them as limiting cases of entropic behavior.
  • Master Entropic Equation (MEE): Describes the fundamental dynamics of the entropic field.
  • Obidi Curvature Invariant (OCI): A proposed value of $\ln 2$ that represents the smallest threshold at which two entropic states become distinguishable. [2, 4, 7, 10, 11]

Scientific Status

As of 2026, the Obidi Conjecture is considered early-stage research primarily published in preprints and series on platforms like Medium, ResearchGate, and GitHub. It builds upon earlier work in entropic gravity by physicists like Erik Verlinde and Ted Jacobson but aims to transcend them by completely eliminating spacetime as a fundamental construct. [2, 3, 12]
Would you like to explore the mathematical derivation of the Obidi Action or how it attempts to resolve Einstein’s EPR paradox?

 

 

 

The Obidi Conjecture is the central, foundational claim of the Theory of Entropicity (ToE), developed by John Onimisi Obidi in 2025–2026, which asserts that entropy is the fundamental, real, dynamical field underlying all physical reality. It proposes that geometry, matter, and physical laws emerge from this entropic field, effectively inverting the standard physical model. [1, 2, 3]
Key Aspects of the Obidi Conjecture:
  • Ontological Primacy of Entropy: The conjecture, along with the associated [Obidi Action] and [Master Entropic Equation], argues that entropy is not a derived statistical quantity, but the primitive, primary entity from which all structures arise.
  • Ontodynamics: The resulting framework, termed ontodynamics (the study of existence as entropic motion), posits that spacetime curvature and gravitation are manifestations of the entropic field's gradients.
  • Reversal of Hierarchy: It challenges the conventional view that entropy is secondary to geometry and quantum mechanics, suggesting instead that the geometry of entropy is the geometry of reality.
  • The Correspondence Principle: The [Obidi Correspondence Principle (OCP)] holds that all established physical laws (like general relativity and quantum mechanics) are limiting cases or approximations of this underlying entropic dynamics.
  • Significance: It aims to unify physics by placing entropy at the core, proposing that the Einstein field equations emerge from an entropic variational principle rather than being fundamentally foundational. [1, 2, 3, 4, 5]
The theory is heavily documented in [the Theory of Entropicity (ToE) Living Review Letters Series], often published on platforms like Medium and Cambridge Open Engage, and is in its early stages of development and public vetting. [1, 2]

 

If you'd like more details, we can tell you about:
  • The Obidi Correspondence Principle (how it matches known physics).
  • The Obidi Action (the math behind the theory).
  • The Theory of Entropicity's Postulate, which posits that entropy is the fundamental field of reality.
Let us know which of these areas interests you.



Thursday, 7 May 2026

Obidi's Philosophy: Ontodynamics, Entropology, and Entrodynamics in the Theory of Entropicity (ToE)

Obidi's Philosophy: Ontodynamics, Entropology, and Entrodynamics

Obidi's Philosophy

John Onimisi Obidi's philosophy, known as Ontodynamicsis comprehensive framework that redefines entropy as the fundamental field of reality, rather than mere measure of disorder. It unifies thermodynamics, quantum mechanics, and general relativity, proposing that the universe is governed by an underlying entropic field that drives all physical processes. Obidi's philosophy is not just scientific framework but philosophical architecture that integrates physics, ontology, and epistemology. It begins with radical inversion of traditional physics, asserting that entropy is the primary field from which all physical structures emerge. The Theory of Entropicity (ToE) is key component of Obidi's philosophy, offering new understanding of existence, causality, and transformation in entropic terms. 
Obidi's philosophy is characterized by its open-source approach to publishing and disseminating scientific theories, bypassing traditional institutional affiliations. His work is published as series of interlinked HandWiki articles, allowing for immediate dissemination and iterative refinement. Obidi's Agile Manifesto in Publishing emphasizes the importance of clarity, accessibility, and discoverability in scientific communication, treating knowledge as living product that evolves continuously and openly. 

Obidi's philosophy extends beyond core physics, suggesting that mass, energy, and even consciousness emerge as projections of singular entropic continuum. This approach has implications for interdisciplinary fields, including cosmology, biology, neuroscience, artificial intelligence, and philosophy. Obidi's work is testament to his commitment to open-access dissemination and his vision of unified theoretical framework that transcends traditional boundaries. 

The Canonical Archives of the Theory of Entropicity (ToE): Links, Resources, and Authoritative Materials

The Canonical Archives of the Theory of Entropicity (ToE): Links, Resources, and Authoritative Materials

 

The canonical archive for the Theory of Entropicity (ToE), developed by John Onimisi Obidi, is primarily hosted on GitHub. It serves as the central, version-controlled repository for the theory’s monograph, mathematical derivations, and formal definitions. [1, 2, 3]

You can access the archive and its official mirrors through the following links:
  • Official Canonical Archive: The authoritative version-controlled repository on GitHub Pages.
  • GitHub Technical Wiki: An open-source wiki documenting the theory's structure, equations (like the Master Entropic Equation), and formal development.
  • Cloudflare Mirror: A high-availability mirror designed for global accessibility.
  • Google/Blogger Site: A live website containing supplementary resources and updates. [3, 4, 5, 6]

Content of the Archive

The archive organizes the theory into several key functional areas:
  • Monograph: The foundational text and structured presentation of ToE.
  • Concepts: Definitions for core ideas such as the Obidi Conjecture, which posits entropy as the fundamental dynamical field of reality.
  • Equations: Mathematical frameworks including the Master Entropic Equation (MEE) and Obidi Field Equations (OFE).
  • Papers: Links to formal publications and preprints hosted on platforms like Cambridge Open Engage and ResearchGate. [1, 2, 7, 8, 9, 10]
Would you like to explore the specific mathematical derivations of the Master Entropic Equation or the theory's recent preprints and authoritative working papers on Cambridge Open Engage and other online academic repositories and platforms?

 

 

 

The canonical archive of the Theory of Entropicity (ToE), formulated by John Onimisi Obidi in 2025-2026, is located at https://entropicity.github.io/Theory-of-Entropicity-ToE/. This GitHub repository serves as the official, version-controlled repository containing the monograph and foundational writings, which positions entropy as the primary ontological substrate of the universe. [1, 2, 3, 4]
Key Locations & Resources:
  • Official GitHub Archive: https://entropicity.github.io/Theory-of-Entropicity-ToE/
  • Cloudflare Mirror: https://theory-of-entropicity-toe.pages.dev/
  • Blog/Working Papers: https://theoryofentropicity.blogspot.com
  • Notion Site: Obidi's Foundational Physics Manifesto [1, 2, 3, 4]
The theory posits that entropy is not a derived statistical quantity, but a foundational, primary entropic field from which geometry, matter, and spacetime emerge. [1, 2]

 

If you're exploring the theory, we can help you find specific materials from the archive, such as:
  • The foundational paper/monograph
  • Mathematical derivations (like the curvature invariant)
  • Specific chapters on the Entropic Field
Let us know which part of the theory you'd like to dive into!