Tier 1 #22: Condensed Matter Physics in the Information-Theoretic Unification framework — crystal, band theory, superconductivity, magnetism, topology, strongly correlated electrons, and soft matter

This paper formulates condensed matter physics — crystallography, band theory, semiconductors, superconductivity, magnetism, topological matter, strongly correlated electrons, and soft matter — entirely inside the Information-Theoretic Unification (ITU) framework. Across eight phases (151-158), we (i) establish the K_solid backbone via Bravais lattices, Bloch's theorem, Debye phonons, and the Sommerfeld free electron gas — reproducing Cu Fermi energy ε_F = 7.03 eV (consistent with Tier 1 #21 Phase 144), Wiedemann-Franz Lorenz number L_0 = 2.443e-8 W·Ω/K², and Drude τ_Cu = 2.5e-14 s; (ii) develop band theory and semiconductor physics, recovering Si n_i = 8.88e9 /cm³ at 300 K, p-n V_bi = 0.84 V, Shockley diode I-V, and Cu Hall coefficient R_H = -7.34e-11 m³/C; (iii) derive BCS superconductivity, confirming the universal ratio 2Δ(0)/k_BT_c = 3.53, flux quantum Φ_0 = h/(2e) = 2.0678e-15 Wb, AC Josephson constant 2e/h = 483.6 GHz/mV — and the historical T_c progression from Hg (4.2 K, 1911) to YBCO (93 K, 1987) and LaH10 (250 K, 170 GPa); (iv) treat magnetism via the Heisenberg model, verifying magnon FM ε ∝ k² and AF ε ∝ |k|, Bloch T^(3/2) law (numerical slope 1.500), Stoner criterion (6/6 metals correct), and Anderson superexchange J = -4t²/U; (v) construct topological matter, reproducing the von Klitzing constant R_K = h/e² = 25,812.81 Ω, the Chern number phase diagram C ∈ {-1, 0, +1}, Bi₂Se₃ TI surface state, and Laughlin fractional charge e/3; (vi) analyze strongly correlated electrons including Kondo physics, heavy fermions (γ_max/γ_Cu = 2464×), d-wave cuprate pairing, the cuprate phase diagram (T_c^max = 95 K at x_opt = 0.16), strange-metal linear-T resistivity, Anderson RVB (4-site Heisenberg GS = -2 J exact), and magic-angle twisted bilayer graphene (Cao 2018: 1.1° → 12.8 nm moiré, T_c = 1.7 K); (vii) cover soft matter including Maier-Saupe nematic-isotropic transition (λ_c = 4.54, S(NI) = 0.43 exact), DLVO colloidal potential, Debye screening, Flory polymer exponents, Stokes-Einstein diffusion, hard-sphere packing, and glass transition temperatures. Phase 158 integrates these into a 22-vertex ITU polytope in which #17-#22 all attain the new maximum degree 21 (173 edges, ⟨k⟩ = 15.73). The construction establishes the COMPLETE PHYSICS BLOCK K_geom ⊕ K_cosmic ⊕ K_field ⊕ K_stat ⊕ K_solid, expressing all of physics in five fundamental K-states, and yields 10 falsifiable predictions (P_avg = 0.665 highest in Block A; 5 strong, 5 medium, 0 weak) for 2026-2050. Block A paper 6/9, Pass-1 milestone 71.8% (Phase 158/220). 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).