Quantum Modification of Resonant Vacuum Architecture (RVA): Nonlinear Hydrodynamics of the Achromatic Singular Core and Through Spectral Synthesis of the Vacuum

This preprint presents a quantum-topological generalization of Resonant Vacuum Architecture (RVA). The vacuum is modeled as a stationary cubic lattice with Oₕ symmetry. A unified scale-invariant operator equation with automatic exponent quantization is developed. The theory provides parameter-free analytical synthesis of fundamental constants across micro, meso, and macro scales, predicts a sterile neutrino at 1. 243 keV and an RVA-meson at 3. 264 GeV, and establishes a geometric prohibition on fourth-generation fermions. Subjects: Theoretical Physics, Mathematical Physics, Quantum Field Theory, Cosmology, Particle Physics