`QuantumFieldType`

definition

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module: IndisputableMonolith.Physics.QuantumFieldOperatorsFromRS
domain: Physics
line: 25 · github
papers citing: none yet

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IndisputableMonolith.Physics.QuantumFieldOperatorsFromRS on GitHub at line 25.

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formal source

  22
  23namespace IndisputableMonolith.Physics.QuantumFieldOperatorsFromRS
  24
  25inductive QuantumFieldType where
  26  | scalar | spinor | vector | tensor | spinorTensor
  27  deriving DecidableEq, Repr, BEq, Fintype
  28
  29theorem quantumFieldTypeCount : Fintype.card QuantumFieldType = 5 := by decide
  30
  31/-- 2 statistics × 5 field types = 10 = 2 × configDim D. -/
  32def statisticsCount : ℕ := 2
  33theorem statistics_times_fields : statisticsCount * Fintype.card QuantumFieldType = 10 := by decide
  34
  35structure QFOCert where
  36  five_fields : Fintype.card QuantumFieldType = 5
  37  ten_total : statisticsCount * Fintype.card QuantumFieldType = 10
  38
  39def qfoCert : QFOCert where
  40  five_fields := quantumFieldTypeCount
  41  ten_total := statistics_times_fields
  42
  43end IndisputableMonolith.Physics.QuantumFieldOperatorsFromRS

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