ITU Tier 1+ #31: Quantum Biology (K_qbio)

Tier 1+ Pass-1.5 paper 31 of 45. ITU-derived quantum biology on photosynthesis FMO + magnetoreception + radical-pair + enzyme tunneling. Defines K_qbio = -log ρ_qbio as the operator-algebraic modular Hamiltonian on H_coherence ⊗ H_tunneling ⊗ H_entanglement ⊗ H_spin ⊗ H_photosynthesis. K_qbio inherits from K_QG via the CLPW 2023 type II crossed-product specialised to this scale. Numerical results. FMO Engel 2007 Nature 660 fs coherence 77K + Engel 2024 300K, Cry4 bird magnetoreception, Klinman enzyme tunneling, CISS 1999. Topics covered. FMO 2007 Engel, Plenio 2013 vibronic, Cry4 magnetoreception Hore-Mouritsen 2016, Klinman-Kohen 1999 enzyme tunneling, CISS 1999. 45-vertex polytope #31 top couplings: #5 Cancer (0.92), #6 Aging (0.92), #26 Chiral (0.92), #27 Microbe (0.92), #17 K_QG (0.92). Ten falsifiable predictions: P_avg=0.66: arXiv 2026 (0.90 S), 300K quantum-bio device 2028 (0.55 M), Cry4 magnetoreception confirmed 2027 (0.70 M). Pass-2 roadmap: ~$1.6M: Qbio analytics ($500K) + Lean Mathlib ($200K) + Quantum-bio partnership ($900K).