Perovskite Halide Collapse Threshold in Optical Band-Gap: An Experimental Proposal for Photon Matrix Model Confirmation with Multi-Lock Validation

The Photon Matrix Model (PMM) introduces a deterministic collapse geometry that offers a finite, ZFC-formalizable foundation for mathematics, physics, and computation. Rooted in a universal bifurcation constant derived from the golden ratio inverse to the fourth power (approximately 0.1459), the PMM governs phase transitions and field interactions through an action functional integrating energy-density and symbolic-tension fields under equilibrium constraints. This model explains anomalous behaviors in physical systems, such as temperature-dependent band-gap shifts in halide perovskites, by mapping optical observables (e.g., normalized band-gap changes, absorption edge curvature, and entropy bounds) to collapse thresholds. It predicts universal saturation at structural boundaries, providing falsifiable tests via optical spectroscopy, photoluminescence, and ultrafast dynamics. The PMM extends to applied collapse engineering, unifying phenomena across materials like perovskites, VO2, and Fe3O4. This deposit includes the core theoretical framework, derivations of the bifurcation law, and mappings to experimental observables in semiconductor optics. It serves as a preprint foundation for ongoing validation series, enabling low-cost confirmation in photovoltaic and soft-matter systems while setting empirical bounds on collapse universality. Implications span foundational physics revisions and material optimization for solar cells and beyond.