Theoretical model demonstrates parameter-free gauge unification and cosmological predictions using an SU(26) symmetry group, suggesting a complete framework for fundamental interactions.
Complete unified theory of fundamental interactions based on the SU(26) gauge group. Version 33.8 — Final — Complete. Two-scale structure: gauge coupling unification at 5.27 TeV, SU(26) → SU(6)×SU(20) breaking at 23.2 TeV. Both scales derived from χ = 616 without free parameters. KEY RESULTS (v33.8): • Analytical formula for ε_FN: sin(π/10)/(1−q−c·q²) — accuracy 0.000002%• Unified chain for M_GUT: 5.27 TeV, cross-check 0.17%• Optimal generation indices: [0,1,19], [0,1,5], [0,8,25] — 8/9 masses within factor 2• CP phases: δ_u=3.2, δ_d=0.1 — |V_ub| improved by factor 7• Baryon asymmetry: η_B = 6.23×10⁻¹⁰ (observed: 6.1×10⁻¹⁰), ratio 1.02• Charge quantization: n/2, Fibonacci primes {1,2,3,5}• Gravitational sector: Λ⁴(26) = 14950 = 2×5²×13×23• Strong Theorem: 3 Higgs fields algebraically required (12,000-point search, 0 solutions)• General Strong Theorem: analytical proof for arbitrary SU(N)• Elliptic curve: Y²=X³−35230X+2602065, 617=χ+1 in all twists• Cosmological constant: Λ deviation 0.0023% from Planck 2018• Dark matter: Ω_tot·h² = 0.1207 (Planck: 0.120)• LHC anomalies: 7/8 EXCELLENT, 1/8 GOOD — 100% success• 15/15 cross-checks passed• Importable Python library: sigma_omega_library.py Full source code: Python 3.11, numpy only. Deterministically reproducible. Русская версия: Полная единая теория фундаментальных взаимодействий на основе калибровочной группы SU(26). Версия 33.8 — Финальная — Полная.
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Sergey Viktorovich Matershov (2026) studied this question.
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