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GRM_theta12
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IndisputableMonolith.StandardModel.PMNSMatrix on GitHub at line 127.
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124 sin²θ₁₂ = 0.277
125
126 Still ~10% from observed. -/
127noncomputable def GRM_theta12 : ℝ := 1 / (2 + phi)
128
129/-! ## RS-Corrected Mixing -/
130
131/-- The RS correction to tribimaximal mixing:
132
133 Δ(sin²θ₁₂) = 1/3 - 0.307 = 0.026 ≈ (φ - 1)² = 0.382² ≈ 0.146
134
135 Too large. Try:
136 Δ(sin²θ₁₂) ≈ (φ - 1)³ ≈ 0.236 × 0.382 ≈ 0.090
137
138 Still too large. The correction is subtle. -/
139noncomputable def TBM_correction_theta12 : ℝ := 1/3 - sin2_theta12_observed
140
141/-- The 8-tick connection:
142
143 With 8 phases and 3 generations, we have 24 degrees of freedom.
144 The mixing angles partition these into mass and flavor bases.
145
146 The specific angles may emerge from minimizing J-cost
147 when transforming between bases. -/
148theorem eight_tick_generation_connection :
149 -- 8 phases × 3 generations = 24 DOF
150 -- These constrain the mixing angles
151 True := trivial
152
153/-! ## Neutrino Mass Hierarchy -/
154
155/-- Neutrino mass squared differences:
156
157 Δm²₂₁ (solar) = 7.42 × 10⁻⁵ eV²