`PMNSUnitarity`

definition

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module: IndisputableMonolith.Physics.PMNS.Types
domain: Physics
line: 22 · github
papers citing: none yet

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open lean source

IndisputableMonolith.Physics.PMNS.Types on GitHub at line 22.

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formal source

  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

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