Schrödinger Dynamics as the Unique Minimal First-Response Hamiltonian Projection of AASC Quantum Standing

This paper derives Schrödinger dynamics as the minimal lawful Hamiltonian response of a nondegenerate determinate quantum carrier under the Admissibility and Standing Constraint. It identifies the structural requirements for preserved reference, compositional state comparison, reversible continuation, phase equivalence, and probability-bearing normalization within the declared regular quantum regime. These constraints yield Schrödinger evolution as the appropriate first-response projection of the same upstream admissible physical interior from which Einstein dynamics descends, rather than as an unrelated dynamical postulate. The result supplies the quantum branch subsequently joined with the gravitational branch in the structural-unification theorem and its physical realization certificate. Gravity as Structural Necessity — establishes the necessary physical constraint role; Einstein Dynamics — derives the unique minimal first-response metric projection; Schrödinger Dynamics — derives the corresponding minimal Hamiltonian quantum projection; Structural Unification — proves that the gravitational and quantum descriptions are projections of one admissible physical interior; Module A — completes operational metric–source attachment. Module B — proves common mass–charge matching. Module C — constructs common upstream continuation and projection intertwining. Module D — establishes exact certificate-fibre exhaustion and unique lawful role occupancy. Complete Certificate Closure — integrates the full FEP-1.0 gravity–quantum realization certificate.