Holographic Fields and Signature Geometry

This monograph develops a unified theoretical framework in which classical behavior, field dynamics, and holographic duality are reinterpreted as manifestations of a single structural principle: the projection of local dynamics into globally admissible fields. The starting point is a reformulation of the Ehrenfest theorem, traditionally viewed as a correspondence between quantum and classical mechanics. Here, it is recast as a consistency condition, asserting thatclassical equations emerge only when expectation values are evaluated within an admissible subspaceof states. This shift from approximation to admissibility motivates a broader conceptual framework.