Deriving the W and Z Boson Masses From One Substrate Density
m_W = (256/3) m_p = 80.066 GeV. m_Z = π⁴ m_p = 91.396 GeV. Derived in Paper 19 from the four-unit condensation geometry. No independent Higgs field is introduced.
Measured values sit near 80.37 GeV and 91.19 GeV. In the Standard Model those masses are set by the Higgs vacuum value and the couplings. Paper 19 derives both from the four-unit condensation.
The Derivation
Per-core mass M = m_p / 3. Charged resonance: m_W = 256 M = (256/3) m_p = 80.066 GeV. Neutral resonance: m_Z = [Vol(SO(3))]² m_p = π⁴ m_p = 91.396 GeV. 256 = (n²)² at n = 4. The mixing angle is then sin²θ_W = 1 − (m_W/m_Z)² = 1 − 256²/(9π⁸) = 0.232571. Higgs mass from the same geometry: λ_H = 2 A R₀ / π², v = 6 E_unit / α_vss, m_H = v √(2 λ_H) = 124.75 GeV.
What is fixed
ρ_s = 7.3 × 10⁻²⁷ kg m⁻³ comes from the P16 condensation chain, not from fitting W or Z. The same density is used in the DME law on SPARC and KiDS-1000. CD21 runs the electroweak identities as code.
The Higgs field
The Higgs boson is the collective electroweak excitation of the Spaticle substrate. It is not an independent fundamental field. Papers 19 and 19A. Code: CD21. vijayshankarsharma.com/downloads/