Two‑Channel Coherence Dynamics with Projection Pressure Fields: Conservation Proofs, Trajectory Bending, and a Falsifiable Prediction for Passive Coherence Revival

Decoherence is typically modeled through Lindblad master equations that enforce monotonic loss of coherence in open quantum systems. Recent experiments in structured reservoirs suggest that partial reversibility can occur without external control pulses. This work develops a minimal two‑channel model in which a visible system field \ (v (x, t) \) interacts with an explicit environment field \ (Penv (x, t) \) through a projection‑pressure term \ (T (x, y) \) and a reversible coupling \ (K\). The model establishes three analytically supported results: (i) exact conservation of the combined norm \ (\|v\|² + \|Penv\|₁\) when \ (K=0\) ; (ii) a modified conservation law for \ (K>0\) with corrections below 0. 3% across all tested regimes; and (iii) recovery of the free‑particle Schrödinger limit when \ (T=K=0\). Numerical simulations verify these results and reveal a falsifiable prediction: passive coherence revival with amplitude \ (R (K) \) strictly increasing in \ (K\), in contrast to standard Lindblad theory which predicts no revival. The mechanism is passive, continuous, and requires no external pulses, distinguishing it from spin echo, photon echo, and dynamical decoupling. A concrete experimental protocol using superconducting qubits with tunable Purcell decay is proposed to test the prediction. The model provides a reproducible, fully specified framework for probing non‑Markovian backflow and connects structurally to the Information Manifold Model through the interpretation of \ (T (x, y) \) as projection pressure.