A Brief Note on the Obidi Actions of the Theory of Entropicity (ToE)

The "Obidi Actions" refer to the central variational principles in the Theory of Entropicity (ToE), developed by physicist John Onimisi Obidi, proposing entropy as a fundamental, dynamic field, not just disorder, that governs spacetime, motion, and quantum phenomena. These actions, including the local Obidi Action and the global Spectral Obidi Action, describe how this universal entropy field evolves, aiming to unify relativity, quantum mechanics, and thermodynamics by deriving laws like the speed of light and time dilation from entropic principles. 

Key Concepts: 

• Theory of Entropicity (ToE): A proposed Grand Unified Theory where entropy is the fundamental field, driving all physical phenomena.
• Obidi Action: A mathematical principle, analogous to the Einstein-Hilbert action, describing the dynamics of the universal entropy field.
• Entropy as a Causal Force: ToE posits that entropy actively drives the universe, causing energy, space, and time, rather than being a passive result.
• Unification: It seeks to unify thermodynamics, relativity, and quantum mechanics under one framework, viewing them as emergent properties of entropic dynamics. 

Core Components of the Actions: 

• Local Obidi Action: Describes local dynamics and how the entropy field evolves.
• Spectral Obidi Action (SOA): Introduces a Dirac-type entropy operator, regulating coherence and quantum features, providing global consistency to the field.
• Entropic Field Equations: Replaces Einstein's equations, linking spacetime curvature (geometry) directly to the entropy field. 

How it Works (Simplified): 

• Relativity from Entropy: Instead of taking the speed of light (c
  

  $c$
  ) as a postulate, ToE derives relativistic effects (mass increase, time dilation, length contraction) as consequences of the system's resistance to entropic flow, as shown in John Onimisi Obidi on ESS Open Archive.
• Quantum Entanglement: In Obidi's ToE, this is treated as a finite, entropy-driven process that occurs over short, measurable intervals, resolving paradoxes by making measurement physical. 

In essence, the Obidi Actions provide the mathematical framework for a universe where everything, from gravity to quantum mechanics, emerges from the fundamental, dynamic flow and organization of entropy.