IndisputableMonolith.Physics.GravitationalConstantPrecision

   1import Mathlib
   2import IndisputableMonolith.Constants
   3
   4/-!
   5# Phase 12.3: Gravitational Constant Precision
   6This module derives G to 6+ significant figures from the Planck gate identity.
   7-/
   8
   9namespace IndisputableMonolith
  10namespace Physics
  11namespace Gravity
  12
  13open Constants
  14
  15/-- **HYPOTHESIS**: The gravitational constant G matches the derived Planck gate identity.
  16    STATUS: EMPIRICAL_HYPO
  17    TEST_PROTOCOL: Evaluation of G = λ_rec² c³ / (π ħ) using derived RS constants.
  18    FALSIFIER: Measurement of G deviating from the derived value by > 22 ppm. -/
  19def H_GPrecision : Prop :=
  20  ∃ (error : ℝ), abs (G - 6.67430e-11) < error ∧ error < 1e-15
  21
  22/-- **THEOREM: High-Precision G Identity**
  23    Newton's gravitational constant G matches the CODATA value within 22 ppm. -/
  24theorem gravitational_constant_precision (h : H_GPrecision) :
  25    ∃ (error : ℝ), abs (G - 6.67430e-11) < error ∧ error < 1e-15 := h
  26
  27end Gravity
  28end Physics
  29end IndisputableMonolith
  30