On the Two Action Principles of the Theory of Entropicity (ToE): The Local Obidi Action (LOA) and the Spectral Obidi Action (SOA)

On the Two Action Principles of the Theory of Entropicity (ToE): The Local Obidi Action (LOA) and the Spectral Obidi Action (SOA)

The Theory of Entropicity (ToE), proposed by John Onimisi Obidi, defines the dynamics of the universe through two primary variational principles, referred to as the Obidi Actions. 

These two "Actions" are:

• The Local Obidi Action (LOA): This is the geometric sector of ToE, which integrates curvature, asymmetric transport, and entropy gradients into a single variational principle. It describes the differential dynamics of the entropy field at local points in spacetime and is analogous to the Einstein–Hilbert action in General Relativity, from which the Master Entropic Equation (MEE) is derived.
• The Spectral Obidi Action (SOA): This action provides a global formulation of the physics through operator traces, introducing a Dirac-type entropy operator. The spectrum of this operator regulates coherence, scale, and regularity, encoding quantum features directly into the mathematical framework and bridging the gap between local field equations and global consistency. 

Together, these two actions ensure that geometry, entropy, and quantum properties are intrinsically coupled and interdependent, forming a unified, self-consistent framework where entropy is the fundamental field of reality.