The W boson weighs 80.4 GeV and the Z boson weighs 91.8 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:
The Weinberg angle follows from the ratio of electromagnetic and weak coupling modes:
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:
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.
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