(GQR14) Dynamic Proof of the 8F4I Quantum-Critical State as a Curvature–Coherence Stationary Channel

Catalysis can be interpreted as a curvature–coherence process governed by the stationary bal-ance condition 𝑔2 = 𝜅𝛾𝜙, which arises in minimal non-Abelian coherence field theory as acurvature–loss closure within a gauge-invariant SU(2) structure. Prior structural analysis ofPhotosystem II (PSII) crystallographic data identified the Protein Data Bank (PDB) entry 8F4I asa quantum-critical geometry predicted to satisfy this stationary curvature–coherence boundary.Here we provide dynamic verification via time-dependent Schrödinger equation (TDSE) simula-tions morphing through the nine-state catalytic series (PDB: 8F4C → 8F4K). The simulationsexhibit a pronounced coherent tunnelling-flux peak at 8F4I while the O–O bond distance re-mains effectively constant at ≈ 1.46 Å. Arrhenius-type analysis yields a nearly flat, non-thermalslope (𝐸𝑎 ≈ 0), demonstrating resonance-dominated transport independent of classical barrierscaling. The 8F4I structure is therefore identified as a curvature–coherence stationary channelwithin standard quantum mechanics and minimal open-system dynamics, providing dynamicverification of the stationary boundary. Full 70 article programme https://github.com/jamessutton600613-png/GQR/blob/main/Programme_Index.md The programme contains both standalone and self referencing articles. These can all be read as notes in proof of GQR1.