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hypothesis5
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IndisputableMonolith.StandardModel.CKMMatrix on GitHub at line 120.
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117 sin(π/6.472) = sin(0.485) ≈ 0.466
118
119 Too large. -/
120noncomputable def hypothesis5 : ℝ := Real.sin (Real.pi / (4 * phi))
121
122/-- Hypothesis 6: λ = (φ - 1)^2 / φ
123
124 0.618² / 1.618 = 0.382 / 1.618 = 0.236
125
126 Close! Only 4% off from observed 0.227. -/
127noncomputable def hypothesis6 : ℝ := (phi - 1)^2 / phi
128
129/-- **BEST FIT**: λ ≈ (φ - 1)² / φ ≈ 0.236
130
131 Observed: 0.2265
132 Predicted: 0.236
133 Error: ~4%
134
135 This is a promising φ-connection! -/
136noncomputable def bestCabibboFit : ℝ := hypothesis6
137
138/-! ## The 8-Tick Phase Structure -/
139
140/-- The three generations of quarks correspond to three 8-tick phase sectors.
141
142 Generation 1: phases 0, π (up, down)
143 Generation 2: phases π/2, 3π/2 (charm, strange)
144 Generation 3: phases π/4, 5π/4 (top, bottom)
145
146 Mixing occurs between adjacent phase sectors.
147 The mixing angle is determined by the phase separation. -/
148structure GenerationPhases where
149 gen1_phase : ℝ := 0
150 gen2_phase : ℝ := Real.pi / 2