IndisputableMonolith.Relativity.GW.Constraints

   1import Mathlib
   2import IndisputableMonolith.Relativity.GW.PropagationSpeed
   3
   4namespace IndisputableMonolith
   5namespace Relativity
   6namespace GW
   7
   8def gw170817_bound : ℝ := 1e-15
   9
  10/-- Hypothesis: coupling bound derived from GW170817 multi-messenger constraints. -/
  11def coupling_bound_from_GW170817_hypothesis (α C_lag : ℝ) : Prop :=
  12  |c_T_squared α C_lag - 1| < gw170817_bound →
  13  |α * C_lag| < gw170817_bound / 0.01
  14
  15/-- Hypothesis: RS satisfies the GW170817 propagation speed bound. -/
  16def RS_satisfies_GW_bound_hypothesis : Prop :=
  17  |c_T_squared_RS - 1| < gw170817_bound
  18
  19theorem GW_constraint_framework :
  20  ∃ bound, bound = gw170817_bound ∧ bound < 0.001 := by
  21  refine ⟨gw170817_bound, rfl, ?_⟩
  22  simp [gw170817_bound]
  23  norm_num
  24
  25end GW
  26end Relativity
  27end IndisputableMonolith
  28