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Abstract

In Conscious Point Physics (CPP), electroweak unification emerges from discrete primitives in the 600-cell lattice without fundamental gauge fields or spontaneous symmetry breaking. We derive the effective SU(2)L × U(1)Y symmetry and Yang-Mills non-Abelian structure from hybrid DP flows, angular phase interferences (120°/240° biases for left-handed chirality), and golden-ratio quantized overlaps in nested polyhedral cages.

The unified scale E₀ ≈ 246 GeV arises from bit compression in high-confinement states, with W/Z mass ratio (cos θW ≈ 0.881) from vertex density asymmetries. Couplings (g ≈ 0.652, g′ ≈ 0.357) follow from SS Vector gradients, reproducing sin²θW ≈ 0.231 at 99.8% PDG agreement. This completes the electroweak series, unifying weak and electromagnetic interactions via geometry.

Key Results

Weinberg Angle
0.231 sin²θW
99.8% PDG
Weak Coupling
0.652 g
From vertex density
Hypercharge Coupling
0.357 g′
From shell ratio
Rho Parameter
ρ = 1 exact
From symmetry

Emergent Gauge Structure

The Yang-Mills framework emerges without assuming fundamental gauge fields:

Weak Isospin
SU(2)L
From 120°/240° angular biases in tetrahedral cells
Hypercharge
U(1)Y
From DP cloud polarization gradients
Non-Abelian
[Ia, Ib]
= iεabcIc from phase interference
Gauge Invariance
Nexus
Enforces conservation → Ward identity

Contents

Falsifiable Predictions

This capstone paper provides specific experimental tests at HL-LHC and future colliders:

  • Off-shell W/Z interference: ~10⁻⁴ asymmetry from discrete phase mismatches
  • Non-logarithmic running: sin²θW deviations ~0.1% at TeV scales
  • Exotic decays: H → exotic lepton mixes at BR ~ 10⁻¹³
  • CDF resolution: W/Z width mismatches ~0.01 GeV from hybrid contributions

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Keywords

electroweak unification Yang-Mills emergence SU(2)×U(1) phase interference Weinberg angle gauge invariance hierarchy problem 600-cell lattice