One Constant That Derives Them All: How ρ_s Anchors All of Particle Physics
The Standard Model has 19–26 free parameters. BFUT Paper 19 derives coupling constants, boson masses, and the Weinberg angle from one substrate density. The parameters are not free - they are consequences.
The Standard Model of particle physics requires 19 to 26 experimentally inserted free parameters. The masses of the quarks. The masses of the leptons. The coupling constants of the three forces. The Higgs mass and vacuum expectation value. None are derived. All are measured and inserted by hand. BFUT Paper 19 derives a significant subset from one measured density: ρ_s = 5.9 × 10⁻²⁷ kg/m³.
Seven Independent Sectors, One Number
ρ_s is constrained from seven independent physical sectors spanning forty orders of magnitude: Particle masses: m_W = 80.4 GeV, r_p = 0.8414 fm - agreement within 0.015%. Electroweak: sin²θ_W ≈ 0.2312, m_Z/m_W, Higgs mass - all within 1%. Galaxy rotation: 175 SPARC rotation curves - χ² = 1.31, no per-galaxy tuning. Weak gravitational lensing: KiDS-1000 - χ² = 0.007–0.067 vs 5.77–6.57 for NFW. Atomic stability: Hydrogen ground state and Bohr radius - agreement under 0.1%.
The Derivation Chain
From ρ_s, the chain runs: ρ_s → R₀ = 1.27348 → r_p = 0.8414 fm → ħ (0.0001%) → α ≈ 1/137.037 → m_W, m_Z, sin²θ_W Every step is a derivation. No parameter is adjusted at any step. The entire Standard Model electroweak sector traces back to ρ_s through a single derivational chain.
Paper 19 focuses on the electroweak sector and the derived constants listed above. Further connections from condensation topology to the full flavour structure form part of the ongoing research programme. Download BFUT papers, simulation code, and companion materials: vijayshankarsharma.com/downloads/