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.
Six Independent Sectors, One Number
ρ_s is constrained from six independent physical sectors spanning forty orders of magnitude:
Particle masses: m_W = 80.4 GeV, r_p = 0.8409 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.
Gravitational waves: GW170817 post-merger relaxation τ ≈ 6.8 ms within the predicted 1–15 ms window.
Atomic stability: Hydrogen ground state and Bohr radius — agreement under 0.1%.
The Derivation Chain
From ρ_s, the chain runs:
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.
What Remains Underived
Paper 19 is explicit about its scope. The full quark and lepton mass hierarchy, the CKM mixing angles, and the CP-violating phase are identified as future work. The fermion mass hierarchy requires additional derivations connecting condensation topology to the flavour structure — the next frontier of the BFUT programme.
Download BFUT papers, simulation code, and companion materials: vijayshankarsharma.com/downloads/