Re-Phase Vol.3: Compatibility-Guided Admissible Geometry

This volume develops a geometric interpretation of compatibility-guided admissible reconstruction. Observations are interpreted as local projections generating admissible fibers, while global reconstruction emerges progressively through compatibility intersections. The framework studies: admissible geometry, directional residual ambiguity, compatibility-induced localization, anisotropic admissible structures, and compatibility flow duality. This work is exploratory and geometric in nature. No claim is made regarding statistical optimality, probabilistic inference, or established spectral theory. This volume serves as a bridge toward later developments involving spectral geometry, discrete unfolding, and compatibility-driven orbit structures.