Tier 1 #23: Fluid Dynamics in the Information-Theoretic Unification framework — Navier-Stokes, turbulence, boundary layers, vortices, MHD, astrophysical fluids, and the Clay Millennium Problem

This paper formulates fluid dynamics — viscous flow, turbulence, boundary layers, compressible shocks, vortex dynamics, magnetohydrodynamics (MHD), astrophysical flows, and the Clay Millennium Problem — entirely inside the Information-Theoretic Unification (ITU) framework. Across eight phases (159-166), we (i) establish the K_flow backbone via the Euler and Navier-Stokes equations, Reynolds number scanning bacteria (Re ~ 10⁻⁵) to solar convection (Re ~ 10¹³), Hagen-Poiseuille pipe flow Q ∝ R⁴ verified to slope 4.000, and Stokes drag matching the Einstein relation of Phase 146; (ii) demonstrate Kolmogorov 1941 turbulence universality with numerical spectrum slope -1.667 (theory exactly -5/3), Kolmogorov microscale η = (ν³/ε)^(1/4) computed across air/water/glycerol/superfluid He, and the She-Leveque (1994) intermittency correction; (iii) recover Prandtl's boundary-layer theory with Blasius f''(0) = 0.3321 (Howarth-table 0.3320) and η_99 = 4.925 (theory 5.0), and the Rankine-Hugoniot normal shock jumps (Ma=2 → p×4.5, ρ×2.67, T×1.69, Ma_2 = 0.577); (iv) prove Kelvin's circulation and Helmholtz's vortex theorems, verify universal Strouhal St ≈ 0.21 for cylinder Kármán shedding, Rayleigh-Bénard critical Ra_c = 1708, and Onsager-Feynman quantum-vortex circulation Γ = h/m_He4 = 9.98×10⁻⁸ m²/s — establishing a topological-quanta family with Phase 153 SC flux Φ₀ = h/(2e); (v) develop MHD covering magnetic Reynolds R_m spanning 13 orders, Alfvén speed v_A across eight cosmic plasmas (photosphere to magnetar), plasma β classification, Parker solar wind, and ITER tokamak Lawson criterion ratio 1.85 (Q=10 target); (vi) cover astrophysical fluids — Eddington L_Edd = 1.26×10³¹ (M/M_sun) W, Shakura-Sunyaev α-disk with Kerr efficiency η_extreme = 1 - 1/√3 = 0.423, M87* and Sgr A* EHT shadows (consistent with Phase 122), Doppler boost δ^4 for Γ=100 reaching 1.6×10⁹, Blandford-Znajek mechanism, and Sedov-Taylor blast-wave reproducing Crab Nebula 5.32 pc at 1000 yr (observed ~5 pc); (vii) present the Clay Millennium Navier-Stokes problem (still open after 26 years), the resolved 2D case (Ladyzhenskaya 1969), the Beale-Kato-Majda criterion, Caffarelli-Kohn-Nirenberg singular-set bound, Tao's 2014/2016 averaged-NS blow-up and barrier results, and the Onsager (1949) Hölder 1/3 threshold proved by Isett (2018) — Fourier dual of K41 -5/3 spectrum. Phase 166 integrates into a 23-vertex ITU polytope in which #17-#23 all attain new maximum degree 22 (195 edges, ⟨k⟩ = 16.96). The construction establishes the EXTENDED MATTER BLOCK K_geom ⊕ K_cosmic ⊕ K_field ⊕ K_stat ⊕ K_solid ⊕ K_flow, expressing physics in six fundamental K-states, and yields 10 falsifiable predictions (P_avg = 0.650; 5 strong, 4 medium, 1 weak) for 2026-2050. Block A paper 7/9, Pass-1 milestone 75.5% (Phase 166/220). Companion archive contains eight reproducible Python simulations and their figures and JSON summaries. Tier 0 concept DOI: 10.5281/zenodo.20109209. Tier 0 v3.0: 10.5281/zenodo.20200156. Block A prior: #17 QG (10.5281/zenodo.20230667), #18 BH (10.5281/zenodo.20233070), #19 Cosmology (10.5281/zenodo.20233952), #20 SM (10.5281/zenodo.20234703), #21 Stat Mech (10.5281/zenodo.20237082), #22 CM (10.5281/zenodo.20249191).