ITU Tier 1+ #23: Flow Equations (K_flow)

Tier 1+ Pass-1.5 paper 23 of 45. ITU-derived flow equations on Navier-Stokes + turbulence + attractors + boundary + dissipation. Defines K_flow = -log ρ_flow as the operator-algebraic modular Hamiltonian on H_NS ⊗ H_turbulence ⊗ H_attractor ⊗ H_boundary ⊗ H_dissipation. K_flow inherits from K_QG via the CLPW 2023 type II crossed-product specialised to this scale. Numerical results. Navier-Stokes Millennium Prize unsolved, Kolmogorov 1941 K41 turbulence, Onsager 1949 conjecture proved Isett 2018. Topics covered. Navier-Stokes Clay $1M, Kolmogorov 1941 K41, Onsager 1949 + Isett 2018 proof, climate AI emulators Pathak 2022, Boussinesq. 45-vertex polytope #23 top couplings: #21 Stat (0.85), #22 MathPhys (0.85), #11 Cosmo (0.85), #43 Meta (0.92). Ten falsifiable predictions: P_avg=0.66: arXiv 2026 (0.90 S), AI fluid solver standard tool 2027 (0.85 S), NS proof attempt LLM 2030 (0.30 W). Pass-2 roadmap: ~$1.6M: Flow analytics ($500K) + Lean Mathlib ($200K) + Theory+AI partnerships ($900K). Copyright © 2026 Munehiro Terada / Roboken. Licensed under CC-BY-4.0.