Zero Free Parameters: Deriving 92 Standard Model Observables from Body-Centred Tetragonal Vacuum Geometry

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Abstract

We present the Body-Centred Tetragonal (BCT) Superfluid Lattice Model, a geometric framework that derives 92 Standard Model observables to sub-1% precision from three inputs: the octahedral and tetrahedral void radii of a BCT lattice with axial ratio c/a= √2, roct = (√2−1)/2 and rtet = (√6−2)/4, plus a single dimensionful anchor ΛQCD = 220 MeV. No parameters are adjusted. The BCT crystal coupling α0 = roct rtet/π= 0.0074081 yields the fine structure constant α = α0(1−2α0) = 1/137.018 (error−0.013%). The D4 root lattice provides exactly three generations via triality and solves the strong CP problem (¯θ= 0 exact). All six quark masses, three charged lepton masses (via the Koide formula), the complete CKM and…

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Topics & keywords

Keywords
  • Observable
  • Hadron
  • Lattice (music)
  • Baryon
  • Lattice constant
  • Triality
  • Homogeneous space
  • Meson
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