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theorem

regge_linearity

proved
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module
IndisputableMonolith.Physics.Hadrons
domain
Physics
line
75 · github
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IndisputableMonolith.Physics.Hadrons on GitHub at line 75.

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depends on

formal source

  72  simpa [regge_mass_squared, pdg_regge_slope, mul_comm, mul_left_comm, mul_assoc] using h2
  73
  74/-- Regge trajectory is linear in n. -/
  75theorem regge_linearity (r : ℕ) (n₁ n₂ : ℕ) :
  76    regge_mass_squared r (n₁ + n₂) pdg_regge_slope =
  77    regge_mass_squared r n₁ pdg_regge_slope + regge_mass_squared r n₂ pdg_regge_slope := by
  78  simp [regge_mass_squared]
  79  ring
  80
  81end Physics
  82end IndisputableMonolith