Golden ratio numerical relations for 28 Standard Model parameters: Fibonacci-structured potential, 9 derived results, and experimental confirmations

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), with the E₈ (−24) → SU (9) /ℤ₃ decomposition independently confirmed by Wilson (2024). Nine results are derived from first principles with zero free parameters: the strong coupling αₛ = 1/ (2φ³), the Weinberg angle sin²θW = 3/ (8φ), the electroweak VEV vEW = MPl/φ^719/9, the hierarchy exponent 719/9 = 4×C (6, 3) −1/9, the number of generations Ngen = 3 from the theorem N×2N = (N+1) !, the Koide ratio Q = 2/3, the fine-structure constant tree level α⁻¹ = 360/φ², the weak coupling α₂⁻¹ = 135/φ³, and the integer constraint α₂⁻¹×α₃⁻¹ = 270. The vacuum position s₀ = 1/φ² is derived as the complement of the Fibonacci pole: s₀ = 1−sₚole. Three predictions have received experimental support: JUNO (2025) confirms sin²θ₁₂ = 1/ (2φ) to 0. 02σ; DESI DR2 (2025) confirms w₀ > −1 within 1σ of our prediction −0. 977; a 3σ diphoton excess at CMS+ATLAS coincides with our predicted φ-scalar at vEW/φ² ≈ 94 GeV. Mean deviation across 25 measured parameters: 0. 58%. The fine-structure constant is reproduced to 0. 003 ppb. All formulas contain zero adjustable parameters.