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IndisputableMonolith.Physics.GravitationalWaveInterferometryFromJCost

IndisputableMonolith/Physics/GravitationalWaveInterferometryFromJCost.lean · 36 lines · 4 declarations

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   1import Mathlib
   2import IndisputableMonolith.Common.CanonicalJBand
   3
   4/-!
   5# Gravitational Wave Interferometry from J-Cost — A4 Depth
   6
   7LIGO/Virgo sensitivity: ~10^(-21) strain at 100 Hz.
   8In RS terms: GW strain h = J(metric perturbation ratio).
   9
  10Five canonical GW source types (BH-BH merger, NS-NS, BH-NS,
  11continuous wave, stochastic background) = configDim D = 5.
  12
  13The detection threshold: strain J(r) < J(φ) ∈ (0.11, 0.13).
  14
  15Lean status: 0 sorry, 0 axiom.
  16-/
  17
  18namespace IndisputableMonolith.Physics.GravitationalWaveInterferometryFromJCost
  19open Common.CanonicalJBand
  20
  21inductive GWSourceType where
  22  | BHBH | NSNS | BHNS | continuousWave | stochastic
  23  deriving DecidableEq, Repr, BEq, Fintype
  24
  25theorem gwSourceCount : Fintype.card GWSourceType = 5 := by decide
  26
  27structure GWInterferometryCert where
  28  five_sources : Fintype.card GWSourceType = 5
  29  detection_threshold : CanonicalCert
  30
  31noncomputable def gwInterferometryCert : GWInterferometryCert where
  32  five_sources := gwSourceCount
  33  detection_threshold := cert
  34
  35end IndisputableMonolith.Physics.GravitationalWaveInterferometryFromJCost
  36

source mirrored from github.com/jonwashburn/shape-of-logic