Golden ratio numerical relations for 28 Standard Model parameters: Fibonacci-structured potential, 9 derived results, and experimental confirmations
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⚡ UPDATE v7.0: This paper is now part of the complete Master Lagrangian v1.2 (DOI: 10.5281/zenodo.19481524), which achieves 31/31 verification (100%) for ALL Standard Model parameters from MPl and φ with zero free parameters. Key breakthroughs: Geometric Schwinger Term for muon mass (18.7 ppm), up-quark as VArt energy gap, universal corrector VArt(0) = 1/φ4.
We present a systematic set of closed-form relations expressing 28 parameters of the Standard Model through the golden ratio φ = (1+√5)/2. The framework is based on a Fibonacci-structured scalar potential VArt(s) = v4(s−1/φ2)2/(1−s−s2) and the Clifford algebra Cl(9,1) = Cl(3,1)⊗Cl(6). Nine results are derived from algebraic/geometric principles (not fitted): αs = 1/(2φ3), sin2θ12 = 1/(2φ), three PMNS mixing angles, and gauge coupling products. The fine-structure constant is reproduced to 0.003 ppb. Six falsifiable predictions target JUNO (2027), HL-LHC (2028+), and DESI/Euclid (2028–2030).
Full paper series: 15 Zenodo publications, Master Lagrangian: 10.5281/zenodo.19481524
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