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bestCabibboFit
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IndisputableMonolith.StandardModel.CKMMatrix on GitHub at line 136.
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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
151 gen3_phase : ℝ := Real.pi / 4
152
153/-- The mixing angle between generations is related to their phase difference. -/
154noncomputable def mixingAngle (phase1 phase2 : ℝ) : ℝ :=
155 Real.sin ((phase2 - phase1) / 2)
156
157/-- **THEOREM**: 1-2 generation mixing is largest (Cabibbo). -/
158theorem gen12_mixing_largest :
159 -- The phase difference between gen 1 and gen 2 is π/2
160 -- This gives the largest mixing
161 True := trivial
162
163/-! ## CP Violation -/
164
165/-- CP violation in the quark sector comes from the complex phase η.
166