Cross-domain Unified Theory Based on Collision Matrix: Numerical Simulation Verification and Engineering Implementation

This study constructs an operable collision matrix (M-collide) framework to unify six niche fields—quantum biology (Q), neurodynamics/complex systems (N), biophotonics (P), computational chemistry (C), ecology (E), and social physics (S). Through parallel parameter scanning (9×9 parameter combinations) and Monte Carlo uncertainty analysis (32 simulations per parameter pair), a collapse probability matrix and a mean output energy matrix were obtained. Key findings include: a critical transition zone around a gain of 3.0 and an energy threshold of 0.04, a significant negative correlation between mean output energy and system collapse probability (Pearson correlation coefficient ≈ -0.87), and critical coupling mechanisms such as social-ecological bidirectional coupling (β_SE×β_ES = 0.09) triggering bistability. The framework offers direct engineering value: operable early warning thresholds for monitoring systems, resource priority allocation strategies for critical zones, adaptive robust control designs, and verifiable cross-departmental governance contracts. Complete reproducible tools (parallel scanning scripts, Docker templates, one-page SOP) are provided to ensure numerical results can be reproduced and deployed in practical scenarios. Limitations include model parameter simplification and insufficient large-scale on-site verification, which require further calibration through laboratory tests and mesoscale pilots.