`CPTFalsifier`

definition

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module: IndisputableMonolith.QFT.CPTInvariance
domain: QFT
line: 249 · github
papers citing: none yet

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IndisputableMonolith.QFT.CPTInvariance on GitHub at line 249.

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depends on

formal source

 246    1. Mass difference between particle and antiparticle
 247    2. Lifetime difference between particle and antiparticle
 248    3. Charge-to-mass ratio difference -/
 249structure CPTFalsifier where
 250  /-- The particle type. -/
 251  particle : String
 252  /-- Mass difference (should be 0). -/
 253  massDiff : ℝ
 254  /-- Lifetime difference (should be 0). -/
 255  lifetimeDiff : ℝ
 256  /-- Evidence of violation. -/
 257  violation : massDiff ≠ 0 ∨ lifetimeDiff ≠ 0
 258
 259/-- Current experimental bounds (from PDG). -/
 260def cptBounds : String :=
 261  "Proton/antiproton mass: |Δm/m| < 10⁻⁹\n" ++
 262  "Electron/positron mass: |Δm/m| < 8×10⁻⁹\n" ++
 263  "K⁰/K̄⁰ mass: |Δm| < 10⁻¹⁸ GeV"
 264
 265/-- CPT violation bound (proton/antiproton relative mass difference). -/
 266def cpt_mass_bound : ℚ := 1 / 10^9  -- < 10⁻⁹
 267
 268/-- **THEOREM**: The experimental CPT bound is extremely tight. -/
 269theorem cpt_bound_tight : cpt_mass_bound < 1 / 10^8 := by norm_num [cpt_mass_bound]
 270
 271/-- **THEOREM**: No CPT violation has ever been observed at current precision.
 272    This is encoded as the bound being less than any reasonable detection threshold. -/
 273theorem no_observed_cpt_violation : cpt_mass_bound < 1 / 1000000 := by
 274  norm_num [cpt_mass_bound]
 275
 276end CPTInvariance
 277end QFT
 278end IndisputableMonolith

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