Derivation of the Higgs-like Resonance Mass and Properties from First Principles
The Higgs-like resonance at 125.18 GeV emerges from golden-ratio suppression on the unified scale E₀ = 246.22 GeV via a dodecahedral shell structure.
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Abstract
We derive the Higgs boson mass and properties within the Conscious Point Physics framework, where fundamental parameters emerge from discrete geometric progressions. Using the dodecahedral 600-cell as a structural foundation, we show that the Higgs-like resonance at 125.18 GeV arises naturally from golden-ratio suppression factors applied to the unified energy scale E₀ = 246.22 GeV.
The framework generates both weak and electromagnetic couplings through vertex density distributions while maintaining gauge invariance through symmetric shell structures. Our approach yields coupling ratios g′/g = 0.357 and gs/g = 1.218, consistent with experimental measurements within 0.5% precision. We predict off-shell H→ZZ excess at high pT and exotic decay channels at BR ~ 10⁻¹³.
Key Results
Higgs Structure
The Higgs-like resonance emerges as a composite dodecahedral shell structure with specific properties:
- Geometry: 20-vertex dodecahedral shell with Ih icosahedral point group symmetry
- CP composition: 10 Type A (+eCP/-qCP) + 10 Type B (-eCP/+qCP) pairs
- Properties: JPC = 0++ (scalar, CP-even), self-conjugate (H = H̄)
- Mass origin: MH = E₀ × φ⁻¹ × (vertex_count/3)⁻½ × φcorrection