On the Radical and Audacious Emergence of the Theory of Entropicity (ToE): Core Principles & Mechanisms, Mathematical & Theoretical Framework, Comparison with Established Physics, and Status 

The Theory of Entropicity (ToE), first formulated and further developed by John Onimisi Obidi in early 2025, is a radical and  audacious framework in theoretical physics that redefines entropy as the fundamental field of reality. Unlike classical physics, which views entropy as a statistical byproduct of disorder, ToE positions it as an "ontological scalar field" from which space, time, gravity, and quantum mechanics emerge. 

Core Principles & Mechanisms 

• Entropy as a Fundamental Field: The theory suggests that entropy is a continuous, dynamic substrate (
  

  $S(x,t)$
  ) permeating all existence, serving as the primary medium for all interactions.
• The No-Rush Theorem: This principle states that no physical interaction can occur instantaneously; every event requires a finite time for the entropic field to redistribute information. This establishes the universal speed limit and the arrow of time.
• Reinterpretation of
  

  $c$
  : The speed of light is not seen as an arbitrary constant but as the maximum rate at which the entropic field can reorganize itself. Light is simply the visible manifestation of this entropic throughput limit.
• Emergent Gravity: Gravity is reinterpreted as an emergent property of entropic gradients. Matter is viewed as localized regions of entropic condensation, moving toward higher entropy states to minimize constraints. 

Mathematical & Theoretical Framework 

• The Obidi Action: A variational principle analogous to the Einstein-Hilbert action that governs the dynamics of the entropy field.
• Master Entropic Equation (MEE): Derived from the Obidi Action, this equation (called the Obidi Field Equations—OFE) serves as the entropic analogue to Einstein’s field equations, governing how entropy gradients couple to geometry and matter.
• Information-Geometric Bridge: ToE uses mathematical tools like Fisher-Rao and Fubini-Study metrics to link the irreversibility of information flow with physical spacetime curvature. 

Comparison with Established Physics 

Feature	Einstein’s Relativity	Theory of Entropicity (ToE)
Foundation	Spacetime Geometry	Entropic Field
Speed of Light ( $c$ )	Postulated Constant	Derived Entropic Rate
Gravity	Spacetime Curvature	Entropic Gradient/Constraint
Relativistic Effects	Kinematic Necessity	Entropic Inevitability

Status: As of early 2026, the Theory of Entropicity remains a provocative proposal in the early stages of mathematical development. It is being refined for experimental validation, particularly through attosecond measurements of entanglement delays to test its "No-Rush" predictions.

 

Would you like to explore the mathematical derivation of the Master Entropic Equation—MEE (that is, the Obidi Field Equations—OFE) or the specific experimental tests proposed for its falsification?

Appendix: Extra Matter 

The Theory of Entropicity (ToE), developed by John Onimisi Obidi in 2025, posits that entropy is the fundamental, dynamic field from which spacetime, gravity, and quantum mechanics emerge. It reimagines entropy not just as disorder, but as a driving, continuous field, deriving relativistic effects (like time dilation) as "entropic inevitabilities". 

Key Aspects of the Theory of Entropicity (ToE): 

Fundamental Field: Entropy is treated as a continuous field, not merely a statistical byproduct.

Unification: It aims to unify gravity, quantum mechanics, and thermodynamics by framing them as consequences of the irreversible flow and gradient of this entropy field.

Deriving Relativity: The theory argues that Einstein’s relativistic effects—length contraction, time dilation, and mass increase—are consequences of entropic resistance and the conservation of entropy.

Speed of Light c: ToE defines the speed of light (c) as the maximum rate of entropic rearrangement, rather than just an arbitrary constant.

The "Obidi Action": A variational principle is proposed from which a "Master Entropic Equation" (MEE) — the Obidi Field Equations (OFE) — and entropic geodesics emerge.

Observer Independence: ToE reduces the importance of the observer, suggesting that reality is pre-computed by entropic dynamics. 

This framework presents a highly theoretical, powerful and mathematical alternative for bridging the gaps between existing models in physics.