deltaCP_pmns_range

formal source

 302  · linarith [Real.pi_pos]
 303
 304/-- δ_CP(PMNS) ∈ (π, 2π) — consistent with the observed ≈ 197° = 1.094π. -/
 305theorem deltaCP_pmns_range :
 306    Real.pi < deltaCP_pmns_torsion_correction ∧
 307    deltaCP_pmns_torsion_correction < 2 * Real.pi := by
 308  constructor
 309  · exact deltaCP_pmns_in_third_quadrant.1
 310  · have := deltaCP_pmns_in_third_quadrant.2
 311    linarith [Real.pi_pos]
 312
 313/-! ## Experimental Tests -/
 314
 315/-- Current and future experiments:
 316
 317    1. **DUNE**: Will measure δ_CP to ~10°
 318    2. **Hyper-K**: Precision θ₂₃ measurement
 319    3. **JUNO**: θ₁₂ precision, mass ordering
 320    4. **0νββ**: Majorana nature test -/
 321def experiments : List String := [
 322  "DUNE: δ_CP precision",
 323  "Hyper-Kamiokande: θ₂₃, CP violation",
 324  "JUNO: θ₁₂, mass ordering",
 325  "Neutrinoless double beta decay"
 326]
 327
 328/-! ## Falsification Criteria -/
 329
 330/-- The derivation would be falsified if:
 331    1. No φ-connection to any mixing angle
 332    2. Inverted mass ordering confirmed
 333    3. δ_CP far from π (e.g., ~0 or π/2) -/
 334structure PMNSFalsifier where
 335  no_phi_connection : Prop