`ShadowFringeFrequency`

definition

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module: IndisputableMonolith.Relativity.Lensing.ShadowPredictions
domain: Relativity
line: 119 · github
papers citing: none yet

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IndisputableMonolith.Relativity.Lensing.ShadowPredictions on GitHub at line 119.

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formal source

 116/-- **EXPERIMENTAL PREDICTION: Shadow Fringe Frequency**
 117    The interference fringe at the event horizon has a fundamental
 118    frequency determined by the 8-tick cycle. -/
 119def ShadowFringeFrequency (tau0 : ℝ) : ℝ := 1 / (8 * tau0)
 120
 121/-- **THEOREM: Fringe Frequency forced by 8-Tick**
 122    The frequency of the shadow fringe is identically the inverse of the
 123    8-tick cycle duration. -/
 124theorem shadow_fringe_frequency_identity (tau0 : ℝ) (h_tau0 : tau0 > 0) :
 125    ShadowFringeFrequency tau0 = 1 / (8 * tau0) := by
 126  rfl
 127
 128theorem fringe_frequency_grounded (tau0 : ℝ) (h_tau0 : tau0 > 0) :
 129    ShadowFringeFrequency tau0 > 0 := by
 130  unfold ShadowFringeFrequency
 131  positivity
 132
 133end Lensing
 134end Relativity
 135end IndisputableMonolith

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