Theory of Entropicity (ToE) — TITLE_HERE

Theory of Entropicity (ToE)

Visit ToE-Google Resources and Archives:

  1. Foundations of the Theory of Entropicity (ToE): Ambitious and Promising at Once
  2. A Rigorous Derivation of Newton’s Laws from the Obidi Curvature Invariant (OCI = ln 2) of ToE
  3. Power and Significance of ln 2 in the Theory of Entropicity (ToE)
  4. On the Tripartite Foundations of the Theory of Entropicity (ToE): Prolegomena to Physics
  5. Derivation of the ToE Curvature Invariant ln 2 Using Convexity and KL (Araki-Umegaki) Divergence
  6. On the Foundational and Unification Achievements of the Theory of Entropicity (ToE): From GR to QM and Beyond
  7. On the Unification Efforts of the Theory of Entropicity (ToE): Mathematical Expositions and Trajectory
  8. The Theory of Entropicity (ToE) as a New Foundational Edifice of Physics
  9. Monograph Architecture of the Theory of Entropicity (ToE)
  10. Iterative Solutions of the Complex Obidi Field Equations (OFE) of the Theory of Entropicity (ToE)

Content Area

Foundations of the Theory of Entropicity (ToE): Ambitious and Promising at Once

The Theory of Entropicity (ToE), first proposed by John Onimisi Obidi, posits entropy not as a statistical consequence of disorder, but as the fundamental, dynamic field of reality. It proposes that spacetime, gravity, and quantum mechanics emerge from the evolution of an informational, entropic manifold.

Key Foundations of ToE

  • Entropy as a Fundamental Field: ToE treats entropy as a continuous, dynamic field S(x) that flows and evolves.
  • Emergent Gravity: Gravity arises from entropy gradients, not as a fundamental force.
  • Information-Centric Reality: Information is the generative source of physical structure.
  • The Obidi Action: A new informational action from which the Master Entropic Equation and Entropic Geodesics are derived.
  • Speed of Light Reinterpreted: c is the maximum rate at which entropy can reorganize.
  • Quantum–Classical Bridge: ToE unifies Fisher–Rao and Fubini–Study geometries via the α‑connection.

Foundations of the Theory of Entropicity (ToE): Ambitious and Promising at Once 

The Theory of Entropicity (ToE), first proposed by John Onimisi Obidi, posits entropy not as a statistical consequence of disorder, but as the fundamental, dynamic field of reality. It proposes that spacetime, gravity, and quantum mechanics emerge from the evolution of an informational, entropic manifold.

Key Foundations of the Theory of Entropicity (ToE):
  • Entropy as a Fundamental Field: ToE treats entropy as a continuous, dynamic field (
    S(x)cap S open paren x close paren
    ) that flows and evolves, shaping matter and energy.
  • Emergent Gravity and Spacetime: Gravity is interpreted as a manifestation of entropy gradients (differences in the entropy field) rather than a fundamental force. Spatial geometry emerges from these gradients, and gravity is a response to the distribution of complexity.
  • Information-Centric Framework: Information is the generative source of physical reality. The theory links quantum, thermodynamic, and geometric constants through the relation
    ℏc=kBTSℓSℏ c equals k sub cap B cap T cap S sub ℓ end-sub cap S
    .
  • The Obidi Action: The theory constructs an informational action, the "Obidi Action", from which the Master Entropic Equation (MEE) and Entropic Geodesics are derived.
  • Reinterpretation of Speed of Light: The speed of light (
    cc
    ) is defined as the maximum rate at which entropy can reorganize across spacetime, rather than an arbitrary constant.
  • Quantum-Classical Bridge: ToE connects classical Fisher-Rao geometry and quantum Fubini-Study metrics using information geometry and the Amari–Cencov $\alpha$-connection.
Emergence of Physical Laws:
In this framework, the arrow of time is a consequence of the irreversible flow of the entropic field. Quantum mechanics is interpreted as the statistical behavior of these entropic states, and general relativity emerges as the geometry of entropic constraints. The theory aims to unify physics by showing that all physical phenomena are consequences of the underlying entropic dynamics. 


Appendix: Extra Matter 


The
Theory of Entropicity (ToE), primarily developed by John Onimisi Obidi (c. 2025), is a radical and audacious framework in theoretical physics that posits entropy not as a mere statistical measure of disorder, but as the fundamental, dynamic field of reality.

Core Foundations and Principles
  • Entropy as a Fundamental Field (
    S(x)cap S open paren x close paren
    ):     The theory elevates entropy to an ontological scalar field that permeates all existence, acting as the "causal substrate" from which space, time, and matter emerge.
  • The "Entropic Dictum": Generalizing the Einstein-Wheeler dictum ("matter curves spacetime"), ToE asserts that "entropy curves existence itself".
  • The Obidi Action: A universal variational principle that governs the dynamics of the entropic field, analogous to the Einstein-Hilbert action in general relativity.
  • Master Entropic Equation (MEE): Derived from the Obidi Action, this is the entropic analogue of Einstein's field equations, describing how the entropy field evolves and deforms geometry.
  • No-Rush Theorem: This principle states that no physical interaction can occur instantaneously; it imposes a finite propagation rate on the entropy field, which is interpreted as the speed of light c (
    cc
    )    .
Mathematical & Geometric Framework
The ToE integrates advanced concepts from information geometry to bridge the gap between statistical and physical reality:
  • Fisher-Rao Metric: Reinterpreted as the physical metric of the informational universe in classical regimes.
  • Fubini-Study Metric: Serves as the quantum refinement of this geometry, encoding coherence.
  • Amari-Čencov
    αalpha
    -Connections:     These are used as the physical affine structure, mathematically encoding the irreversible flow of entropy and the arrow of time.
  • Unified Entropy Family: The framework incorporates various measures, including Shannon, von Neumann, Rényi, and Tsallis entropies, to describe different physical regimes.
Emergent Physical Phenomena
In this view, classical physical laws are not fundamental but emergent consequences of entropic dynamics:
  • Gravity: Emerges from the field's tendency to maximize entropy flow and minimize constraints; spacetime curvature is a macroscopic "shadow" of underlying entropic gradients.
  • Time: Not an absolute dimension, but a measure of the rate at which the entropic field reorganizes.
  • Quantum Uncertainty: A consequence of entropy governing the probability distributions within the field.
The theory is currently an emerging proposal documented in various online platforms and academic repositories (e.g., ResearchGate, Figshare, Authorea, Cambridge University Open Engage CoE) and has been put forward for mainstream scientific verification, validation, and consensus.

Would you like to explore the mathematical derivation of the Master Entropic Equation (MEE) or the theory's specific experimental predictions for quantum entanglement?

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/