Restoration of Determinism in Constrained Quantum Manifolds

We present a rigorous mathematical framework for the restoration of determinism in open quantum systems, challenging the standard probabilistic interpretation of wavefunction collapse. By utilizing Fredholm determinants to define specific geometric boundary conditions on quantum manifolds, we demonstrate the creation of a "Spectral Shield" that effectively nullifies environmental decoherence (² 0). This architecture enables the enforcement of strictly unitary evolution in macroscopic systems, leading to a controlled cessation of group velocity. We provide the theoretical derivation and proposed experimental parameters for achieving stopped light in silicon-based photonic structures at room temperature, without the need for cryogenic cooling or Bose-Einstein condensates. These findings suggest a pathway toward deterministic quantum computing architectures and ultra-secure optical memory. Note: This manuscript was originally submitted to the arXiv repository on January 19, 2026.