Obidi in Philosophy: Meditations on First Principles of Reality and Nature 

John Onimisi Obidi is an independent researcher, philosopher, and physicist known for developing the Theory of Entropicity (ToE), a framework that redefines entropy as the foundational, active field of reality, rather than a mere measure of disorder. His philosophy, sometimes referred to as Ontodynamics, studies existence as continuous entropic motion and seeks to unify thermodynamics, quantum mechanics, and general relativity. 

Key aspects of Obidi's philosophical and scientific work include:

• The Theory of Entropicity (ToE): This theory proposes that the universe is governed by an underlying entropic field 
  

  $$
   that drives all physical processes, including the emergence of spacetime, gravity, and quantum behavior.
• The Obidi Action: A fundamental, variational principle that describes how the entropic field evolves and optimizes, acting as the foundation for the theory's mathematical framework.
• Master Entropic Equation (MEE): Derived from the Obidi Action, this equation governs the dynamics of the entropic field and serves as a, alternative to Einstein's field equations.
• Ontodynamics and Entropology: Obidi proposes "Ontodynamics" as the study of existence itself as entropic motion (Entrodynamics). He also suggests replacing traditional epistemology with "Entropology," which defines knowing as a form of entropic negotiation.
• Minimum Difference Principle: Obidi declares to us that physical distinction is not free, but rather costs entropic curvature. This principle introduces a minimum, quantized "pixel" of reality (
  

  $$
  ln 2), often referred to as the Obidi Curvature Invariant (OCI).
• "No-Rush" Theorem: This concept limits the speed of entropy redistribution to finite rates, offering a thermodynamic basis for the speed of light (c
  ). 
• Observer Dethroned: Obidi's philosophy encapsulates the thesis that a physical, [conscious] observer is not required nor necessary for quantum wavefunction collapse. Obidi declares that all measurements, interactions, observations, phenomena, etc.can occur in reality without intrinsic dependence on who is consciously or intentionally observing it. The observer is thus dethroned from his or her privileged position in the arena of physics, particularly of Quantum Mechanics.

Obidi's work, which emerged in late 2025 and early 2026, focuses on merging informational, quantum, and classical, relativistic viewpoints into a monistic, entropy-based model. 

Would you like to know more about the mathematical foundations of the Master Entropic Equation (MEE) of Obidi's Theory of Entropicity (ToE)?

Obidi in Science: Meditations on First Principles of Reality and Nature 

"Obidi in science" primarily refers to the work of John Onimisi Obidi, a theoretical physicist, researcher, and creator of the Theory of Entropicity (ToE), a framework developed around 2025-2026 that redefines entropy as the fundamental field of reality. This theory challenges traditional physics by proposing that entropy is not just a measure of disorder but an active, causal field that generates space, time, matter, and gravity. 

Key components of Obidi's work in science include:

• Obidi’s Loop (Theory of Entropicity): A central feedback mechanism in the ToE that explains how as an object accelerates, the entropic field allocates more capacity to maintain its internal order, which manifests as an increase in the object’s effective mass.
• Obidi Curvature Invariant (OCI): Obidi identified 
  

  $$
   as the universal invariant of distinguishability, which represents the smallest curvature gap separating one physical configuration from another, effectively defining the "pixel" size of reality.
• No-Rush Theorem: A principle stating that no physical process can occur in zero time, as the entropic field requires a finite duration (Entropic Time Limit—ETL) to compute and update, thus setting a fundamental limit on how fast physical changes can occur.
• Unified Theory: Obidi’s work attempts to bridge quantum mechanics, thermodynamics, and general relativity by using entropic principles, such as deriving Landauer’s Principle as a geometric necessity rather than a thermodynamic consequence.
• Scientific Recognition & Publications: Obidi's findings are documented through papers on platforms like ResearchGate, Medium, Academia, Authorea, and the International Journal of Current Science Research and Review (IJCSRR). 

Would you like more details on the specific mathematical equations of the Theory of Entropicity (ToE)?

How has the Theory of Entropicity (ToE) Derived the Schrödinger Equation of Quantum Mechanics?

The Theory of Entropicity derives the Schrödinger equation by starting from an entropic action principle on an information‑geometric manifold and then taking a reversible, small‑entropy‑production limit of the resulting dynamics.[1][2][3]

## Core route from ToE to Schrödinger

1. **Obidi Action and Master Entropic Equation**  

   - ToE introduces the Obidi Action for the entropic field $$S(x)$$, with a kinetic term, self‑interaction potential, and coupling to matter, and applies least action to obtain the Master Entropic Equation (MEE) governing entropy flow in spacetime.[2][3]

   - In appropriate regimes (weak entropic curvature, near‑equilibrium), this MEE reduces to a linear, wave‑like evolution equation for entropic configurations, which plays the same structural role as a generalized diffusion or wave equation.[1][3]

2. **Information geometry and complex structure**  

   - ToE embeds states on an information‑geometric manifold that simultaneously carries the Fisher–Rao metric (classical probabilities) and the Fubini–Study metric (quantum states), linked via the Amari–Čencov $$\alpha$$‑connection.[1][3]

   - In the special case where the entropic order parameter $$\alpha$$ selects the Fubini–Study limit, the statistical manifold acquires a Kähler (symplectic + metric + complex) structure, allowing entropic dynamics to be written as Hamiltonian flow on a complex Hilbert‑space‑like manifold.[1][3][4]

3. **Vuli–Ndlela Integral and quantum amplitudes**  

   - ToE replaces Feynman’s path integral by the Vuli–Ndlela Integral, which weights paths by an entropy functional instead of a purely phase‑based classical action, introducing intrinsic irreversibility and time asymmetry.[1][3]

   - In the reversible, near‑equilibrium limit where entropy production along allowed paths is minimized but not zero, the dominant contributions reduce to complex phase factors generated by an effective entropic Hamiltonian, recovering a unitary‑like propagation kernel analogous to the Feynman kernel for Schrödinger evolution.[1][3][4]

4. **From entropic Hamiltonian to Schrödinger form**  

   - On the Fubini–Study information manifold, the entropic Hamiltonian $$ \hat{H}_S $$ generates isometries of the quantum metric; imposing conservation of an entropic “energy” functional and compatibility with the symplectic structure leads to a first‑order time evolution law  

     $$\mathrm{i}\hbar_{\text{eff}}\,\partial_t \Psi = \hat{H}_S \Psi$$,  

     where $$\Psi$$ is now the complex amplitude associated with an entropic state.[1][3][4]

   - Identifying $$\hat{H}_S$$ with the usual kinetic+potential Hamiltonian in an appropriate limit, and interpreting $$|\Psi|^2$$ as the entropic probability density selected by the Fisher–Rao structure, this equation becomes the standard time‑dependent Schrödinger equation of quantum mechanics.[1][3][4]

## Role of entropy and limits

- **Entropy as generator of quantum behavior**: In ToE, quantum behavior (superposition, interference, and unitary‑like evolution) is not postulated but arises when the entropic field is constrained to evolve on a Kähler information manifold with minimal entropy production, corresponding to the reversible sector of the full entropic dynamics.[1][2][3]

- **Collapse as entropic phase transition**: Outside this reversible sector, when entropic thresholds are crossed, the same framework predicts entropy‑driven, irreversible “collapse” dynamics, so the Schrödinger equation appears as the limiting, low‑dissipation equation inside the broader entropic theory.[5][3][4]

Citations:

[1] The Theory of Entropicity (ToE) Derives and Explains Mass Increase ... https://client.prod.orp.cambridge.org/engage/coe/article-details/6900d89c113cc7cfff94ef3a

[2] Physics:Implications of the Obidi Action and the Theory of Entropicity (ToE) https://handwiki.org/wiki/Physics:Implications_of_the_Obidi_Action_and_the_Theory_of_Entropicity_(ToE)

[3] An Alternative Path toward Quantum Gravity and the Unification of ... http://www.cambridge.org/engage/coe/article-details/68ea8b61bc2ac3a0e07a6f2c

[4] Schrödinger equation - Wikipedia https://en.wikipedia.org/wiki/Schr%C3%B6dinger_equation

[5] John Onimisi Obidi - Independent Researcher https://independent.academia.edu/JOHNOBIDI

[6] The Theory of Entropicity (ToE) Derives Einstein's Relativistic Speed ... https://www.cambridge.org/engage/coe/article-details/6908aca0113cc7cfffd949e3

[7] The Schrödinger equation and its Bohmian limit https://arxiv.org/pdf/1512.09084.pdf

[8] The Theory of Entropicity (ToE) https://entropicity.github.io/Theory-of-Entropicity-ToE/

[9] A Simple Explanation of the Unifying Mathematical Architecture of ... https://www.authorea.com/users/896400/articles/1348176-a-simple-explanation-of-the-unifying-mathematical-architecture-of-the-theory-of-entropicity-toe-crucial-elements-of-toe-as-a-field-theory

[10] Erwin Schrödinger and Negative Entropy – blog.rudnyi.ru http://blog.rudnyi.ru/2013/04/schrodinger-disorder-and-entropy.html

How Does the Theory of Entropicity (ToE) Explain the Aharonov-Bohm (AB) Effect of Quantum Field Theory (QFT)?

The Theory of Entropicity (ToE), proposed by researcher John Onimisi Obidi in 2025, explains the Aharonov-Bohm (AB) Effect by reinterpreting electromagnetic potentials as manifestations of a fundamental, dynamic entropic field. In this framework, the phase shift observed in the AB effect is not caused by "action at a distance" or a mathematical vector potential, but by the physical interaction of a particle with the informational gradients of the entropic field. 

Core Explanatory Mechanisms in ToE

According to the Theory of Entropicity, the AB effect is explained through the following principles:

• Entropy as a Fundamental Field: ToE posits that entropy is not just a measure of disorder but a primary, physical field from which space, time, and forces emerge. The magnetic vector potential 
  

  $$
   is viewed as a specific configuration of this entropic field that carries "organizational information" about the environment.
• The No-Rush Theorem: This principle asserts that no physical interaction can occur instantaneously. In the AB effect, the phase shift is seen as the finite time the entropic field takes to redistribute and synchronize the state of the electron as it passes around a solenoid.
• Entropic Force and Gradients: The theory replaces classical forces with "entropic gradients". Even if the magnetic field 
  

  $$
   is zero outside a solenoid, the entropic field still possesses a gradient (the vector potential 
  

  $$
  ) that dictates the "optimal path" and phase of the electron.
• Vuli–Ndlela Integral: This is a reformulation of Feynman's path integral that weights paths based on their "entropic cost". The interference pattern shifts because the two paths around the solenoid have different entropic weights due to the enclosed magnetic flux, leading to a measurable phase difference. 

Comparison with Standard Physics

Feature	Standard Quantum Mechanics	Theory of Entropicity (ToE)
Agent of Change	Magnetic Vector Potential  $$	Dynamic Entropic Field  $$
Nature of Effect	Non-local or Topological	Localized Informational Interaction
Causality	Phase "picked up" from potential	Result of "No-Rush" synchronization
Speed Limit  $$	Universal Postulate	Maximum rate of entropic rearrangement

The Theory of Entropicity is currently considered an emerging and speculative framework that aims to provide a "why" for phenomena that standard physics treats as postulates. 

If you'd like, we can provide more details on the mathematical foundations of the Obidi Action or how this theory applies to quantum entanglement.