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 Kₛolid backbone via Bravais lattices, Bloch's theorem, Debye phonons, and the Sommerfeld free electron gas — reproducing Cu Fermi energy εF = 7. 03 eV (consistent with Tier 1 #21 Phase 144), Wiedemann-Franz Lorenz number L₀ = 2. 443e-8 W·Ω/K², and Drude τCu = 2. 5e-14 s; (ii) develop band theory and semiconductor physics, recovering Si nᵢ = 8. 88e9 /cm³ at 300 K, p-n Vbi = 0. 84 V, Shockley diode I-V, and Cu Hall coefficient RH = -7. 34e-11 m³/C; (iii) derive BCS superconductivity, confirming the universal ratio 2Δ (0) /kBTc = 3. 53, flux quantum Φ₀ = h/ (2e) = 2. 0678e-15 Wb, AC Josephson constant 2e/h = 483. 6 GHz/mV — and the historical Tc 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 RK = 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 (γₘax/γCu = 2464×), d-wave cuprate pairing, the cuprate phase diagram (Tcᵐax = 95 K at xₒpt = 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, Tc = 1. 7 K) ; (vii) cover soft matter including Maier-Saupe nematic-isotropic transition (λc = 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 Kgeom ⊕ Kcosmic ⊕ Kfield ⊕ Kₛtat ⊕ Kₛolid, expressing all of physics in five fundamental K-states, and yields 10 falsifiable predictions (Pₐvg = 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).