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PMNSUnitarity
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IndisputableMonolith.Physics.PMNS.Types on GitHub at line 22.
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19 Note: existence of such a `U` is currently treated as a quarantined conjecture
20 (`IndisputableMonolith/Physics/PMNS/Construction.lean`). The certified particle
21 claims do **not** depend on that existence statement. -/
22structure PMNSUnitarity (U : Matrix (Fin 3) (Fin 3) ℂ) : Prop where
23 unitary : Matrix.IsUnitary U
24 matches_weights : ∀ i j, ‖U i j‖ ^ 2 =
25 pmns_weight (IndisputableMonolith.RSBridge.rung (match i with | 0 => .nu1 | 1 => .nu2 | 2 => .nu3) -
26 IndisputableMonolith.RSBridge.rung (match j with | 0 => .nu1 | 1 => .nu2 | 2 => .nu3)) / 3
27
28end IndisputableMonolith.Physics.PMNS