Deriving the W and Z Boson Masses From One Substrate Density
m_W ≈ 80.4 GeV, m_Z ≈ 91.24 GeV - derived from ρ_s = 5.9 × 10⁻²⁷ kg/m³ in BFUT Paper 19. No Higgs mechanism required as a separate postulate.
The W boson weighs 80.4 GeV and the Z boson weighs 91.24 GeV. These are among the heaviest particles in the Standard Model. In the Standard Model, their masses arise through the Higgs mechanism - spontaneous symmetry breaking of the electroweak SU(2)×U(1) symmetry. The Higgs mechanism requires an independently introduced scalar field with a specifically shaped potential. BFUT Paper 19 derives both masses from the substrate density ρ_s, with no independently introduced Higgs field.
The Derivation
In BFUT, the W and Z bosons are massive substrate excitations produced by internal reconfiguration of condensations undergoing weak-force transformations. Their masses correspond to the energy cost of Spaticle reorganisation at the relevant topology-transition scale. From the reconfiguration energy formula, anchored by ρ_s: m_W ≈ 80.4 GeV [measured: 80.377 GeV, agreement 0.02%] m_Z ≈ 91.24 GeV [measured: 91.188 GeV, agreement 0.05%] The Weinberg angle follows from the ratio of electromagnetic and weak coupling modes: sin²θ_W ≈ 0.2312 [measured: 0.2312, agreement 0.01%]
The ±0.015% Sensitivity
The W and Z boson masses provide the tightest single constraint on ρ_s. Sensitivity analysis shows that agreement with measured boson masses deteriorates once ρ_s is varied by more than ±0.015%. This constraint is established entirely from particle physics, before any galactic or cosmological data are considered. ρ_s is then fixed and reused across all other sectors - galaxy rotation curves, weak lensing, gravitational waves, atomic stability - without adjustment.
The Higgs Field Reinterpreted
In BFUT, the Higgs field is not an independent fundamental entity. It is the electroweak-sector manifestation of the Spaticle field itself. The Higgs vacuum condition λ_SI·Ψ_vac² = ρ_s·c² is structurally identical to the Standard Model’s electroweak vacuum condition. The quartic coupling λ_SI = ρ_s/4 follows directly from the substrate self-consistency condition. The Higgs boson’s mass emerges as: m_H = √(m_top × m_Z) = √(172.76 × 91.188) ≈ 125.51 GeV Measured: 125.25 GeV. Agreement: 0.21%. Five additional collective substrate excitation modes are predicted at approximately 26.9, 85.6, 108.3, 117.9, and 139.7 GeV. Download BFUT papers, simulation code, and companion materials: vijayshankarsharma.com/downloads/