Information Recovery, Coherence Maintenance, and the Quantum-Classical Boundary: A Comprehensive 36-Paper Research Program

This comprehensive volume consolidates a 36-paper research program developed between December 2025 and January 2026. It establishes a rigorous mathematical and operational framework bridging Algebraic Quantum Field Theory (AQFT), quantum information theory, and open-system dynamics. The program is structured across several interconnected theoretical tracks: • AQFT and Recoverability: Establishes a quantitative clustering-recovery bridge, proving that exponential clustering of vacuum correlations enables approximate quantum state recovery via the Petz map using split inclusions and modular theory.• Thermodynamic Maintenance and the Heisenberg Cut: Derives operational lower bounds on the minimal power required to maintain quantum coherence against uncontrolled open-system dynamics. It frames the quantum-to-classical transition not as an ontological collapse, but as a rigorous operational resource boundary.• Lattice Gauge Theory and Confinement Diagnostics: Benchmarks Petz recoverability against Wilson-loop diagnostics in Z_2 lattice gauge theories using exact diagonalization and tensor-network ladders.• Information Distance and Scaling: Investigates the finite-size scaling of Petz recovery lengths and establishes non-Gaussian clustering-recovery bridges via Conditional Mutual Information (CMI). This manuscript unifies all theoretical proofs, conditional interfaces, surrogate numerical evidence, and audit-friendly protocols of the AQFT and coherence-maintenance program into a single cohesive logical architecture.