Algebraic Landscape Completeness, K-Maximization, and the Boundary Spectral Closure Functor in AQM

This paper gives a unified conditional foundation for Algebraic Quantum Morphogenesis (AQM). The goal is to place legal algebraic expansions, K-maximizing path selection, and boundary spectral readout into a single auditable framework. Under the finite-dimensional complex C ∗ -algebra structure theorem, center preservation, minimal degrees of freedom, CPT-duality inheritance, and legal condensation constraints, the AQM algebraic landscape is defined and its legal expansions are shown to be gener