Theory of Entropicity (ToE) — Consolidated Archive of Published Papers, Letters, Notes, and Early Publications, the Inaugural Papers (Feb. 2025–Apr. 2026) 

Description / Abstract

This record contains the complete consolidated archive of the Theory of Entropicity (ToE) as published across multiple platforms between Feb. 2025 and Apr. 2026, including all PDFs previously hosted on Figshare. The ZIP file preserves the original versions, publication order, and scientific continuity of the early ToE corpus.

The Theory of Entropicity is a developing framework in theoretical physics that places entropy as the ontological primitive of physical reality. Across the Letters and supporting documents, the ToE introduces:

• the Obidi Action, a variational principle grounded in entropic dynamics

• the κ–ρₛ entropic field pair, describing the geometry of entropic flow

• the Entropic Seesaw Model, explaining emergent stability and asymmetry

• the Least Entropic Resistance Principle, governing natural evolution

• derivations connecting entropy to electromagnetism, c, mass, and field propagation

This archive includes:

• All ToE Letters (PDF) — including foundational Letters I, IIA, IIB, and subsequent expansions

• Supplementary notes and early conceptual drafts

• Figures, diagrams, and mathematical derivations embedded within the PDFs

• Historical versions preserved exactly as originally published

• A complete ZIP package for long‑term preservation and citation

The purpose of this Zenodo record is to provide a stable, citable, DOI‑backed home for the early development of the Theory of Entropicity, ensuring that researchers, collaborators, and future readers can access the full historical trajectory of the theory in one place.

This consolidated archive complements the ongoing Living Review Letters Series, which continues to evolve through updated derivations, expanded commentary, and refined mathematical structure.

 

Keywords 

entropy; entropic field; Obidi Action; κ field; ρₛ density; entropic dynamics; theoretical physics; speed of light; emergent constants; ToE; Theory of Entropicity; entropic geometry; field equations; entropic propagation

 

Notes for Readers

• The ZIP file preserves the original folder structure and file names exactly as they appeared on Figshare.

• PDFs are fully readable online; ZIP contents can be downloaded for archival study.

• Later, updated versions of the Letters may appear in separate Zenodo records as part of the Living Review series.

 

Suggested Citation

Obidi, John Onimisi (2026). Theory of Entropicity (ToE) — Consolidated Archive of Published Papers, Letters, Notes, and Early Publications (Feb. 2025–Apr. 2026). Zenodo. DOI: 10.5281/zenodo.20151260

 

Technical Description with Equations Included

This consolidated archive contains the foundational manuscripts of the Theory of Entropicity (ToE), preserving the original PDFs and supporting documents from the 2019–2026 development period. The Letters formalize entropy as the ontological primitive of physical law and introduce the Obidi Action, a variational functional defined on entropic configurations rather than geometric or field‑theoretic primitives.

At the core of the ToE is the Obidi Action:

SObidi=∫κ(x) ρs(x) d4x

where:

• κ(x) is the entropic curvature field

• ρₛ(x) is the entropic source density

This pair forms the fundamental entropic conjugate fields of the theory.

From this action, the Euler–Lagrange variation yields the entropic field equations:

∂κ∂t=−∇⋅(ρsv)

∂ρs∂t=−∇⋅(κu)

These equations describe the bidirectional entropic flow that underlies all physical propagation.

A central result of the Letters is the emergence of the speed of light c as an entropic transport constant, not a geometric invariant. In the ToE framework:

c2=κρs

This relation shows that c arises from the ratio of entropic curvature to entropic density, giving it a natural origin within the entropic substrate.

The Letters also derive Maxwell‑type propagation from entropic gradients. Defining the entropic potentials:

Es=−∇κ,Bs=∇×As

the ToE yields wave equations of the form:

∇^2κ−(1/c^2)(∂^2κ/∂t^2)=0

demonstrating that electromagnetic‑like propagation is a secondary phenomenon emerging from entropic dynamics.

The archive preserves:

• the original mathematical structure

• historical ordering

• conceptual progression

• early derivations of the Entropic Seesaw, Least Entropic Resistance Principle, and entropic curvature asymmetry

This record serves as a reference point for ongoing ToE development and for researchers examining entropic formulations of physical law.

The archive also documents the development of several key conceptual structures:

• the Entropic Seesaw, describing asymmetric entropic curvature and stability regimes

• the Least Entropic Resistance Principle, governing natural dynamical evolution

• the entropic interpretation of mass, inertia, and field propagation

• the entropic origin of symmetry breaking

• the Riemann–Obidi trajectory, describing entropic geodesics

Together, these components form the early scaffolding of a theory that seeks to unify physical behavior under a single entropic ontology.

This archive preserves the original versions, historical ordering, and mathematical progression of the ToE manuscripts. It provides a stable, citable foundation for ongoing development and for researchers exploring entropic formulations of physical law. The materials contained here represent the first complete consolidation of the early ToE corpus and serve as a reference point for the Living Review Letters that continue to refine and expand the theory.