The Higgs boson was discovered at CERN in 2012. Its mass, 125.25 GeV, was a measurement, not a prediction. The Standard Model's Higgs mechanism requires the mass as an external input — the Higgs potential's quartic coupling λ and vacuum expectation value v are measured and inserted.
BFUT Paper 19 derives the Higgs mass as the geometric mean of the top quark mass and the Z boson mass.
The Derivation
Within BFUT, the Higgs field is the electroweak-sector manifestation of the Spaticle field — not an independent entity. The observed Higgs boson corresponds to a stable collective excitation mode of the substrate at the balancing point between the fermionic sector (top quark) and the electroweak sector (Z boson). This balancing point is the geometric mean:
Measured value: 125.25 GeV. Agreement: 0.21%.
Why the Geometric Mean
The geometric mean is the unique symmetric relationship between two scales when both are treated multiplicatively. It is not an arbitrary choice. It is the natural midpoint between the fermionic confinement scale (top quark, the heaviest fermion) and the electroweak topology-transition scale (Z boson). A stable resonance at this balancing point is structurally required by the substrate's self-consistency condition λ_SI·Ψ_vac² = ρ_s·c².
Five Additional Predictions
The same substrate topology that produces the Higgs resonance at 125.51 GeV predicts five additional collective excitation modes at approximately:
These are falsifiable predictions awaiting confirmation or exclusion by collider data. They are not adjustable parameters — they follow from the same geometric balancing relations, expressed in terms of different pairings of fermion and electroweak scales within the BFUT substrate topology.
Download BFUT papers, simulation code, and companion materials: vijayshankarsharma.com/downloads/