GQR–XIV: Dynamic Proof of the 8F4I Quantum-Critical State as a Gated "Einstein–Rosen" Bridge

The Gated Quantum Resonator (GQR) framework reframes catalysis as a ”Curvature–Information”process, understood as the phenomenological limit of a complete 𝑆𝑈(3)𝑐𝑜ℎ coherence–curvaturegauge-field theory. This theory predicts that quantum-critical states create topological, curvature-driven ”bridges” analogous to the Einstein–Rosen bridge. Prior work (GQR–IX, GQR–X)identified the Photosystem II (PSII) geometry 8F4I as this unique quantum-critical state. Herewe provide the dynamic proof: a GQR–TDSE simulation morphing through the nine-statecatalytic series (8F4C → 8F4K) models 8F4I as the central resonance gate.The simulation shows a distinct coherent-tunnelling-flux peak precisely at 8F4I, even thoughthe O–O bond distance remains effectively constant at ≈ 1.46 Å. Arrhenius-type analysis of thisflux yields a nearly flat, non-thermal slope (𝐸𝑎 ≈ 0). This study unites the GQR I–XIV sequence,providing the dynamic link between the gauge formulation and its functional proof: the flatArrhenius response serves as a quantitative indicator of a non-thermal, geometrically mediatedtransition across the classical barrier.