Electroweak Boson Masses from Icosahedral Geometry

University of Southampton

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Abstract

We derive the electroweak sector from icosahedral geometry. The proton contains three twin prime couplings with products 35, 143, 323 (sum 501). The VEV emerges as v = 501 × [(V−1)/(F+1)] × m_p = 246.09 GeV (0.05% error), where the projection factor 11/21 = (vertices−1)/(faces+1) follows from the equation (D+1)×5+1 = D×7, which uniquely determines D = 3. The Higgs mass is m_H = 501/4 = 125.25 GeV (exact match). The W boson involves only the boundary twin: m_W = 323/4 = 80.75 GeV (0.5% error). The Z boson involves additional structure: m_Z = (323+35+8)/4 = 91.5 GeV (0.3% error). The Weinberg angle follows: sin²θ_W = 1−(323/366)² = 0.221 (0.8% error). All five quantities derive from D = 3 geometry with zero free…

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Topics & keywords

Keywords
  • Electroweak interaction
  • Higgs boson
  • Boson
  • Standard Model (mathematical formulation)
  • Projection (relational algebra)
  • Boundary (topology)
  • Zero (linguistics)
  • Section (typography)
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