IndisputableMonolith.Gravity.Analysis.OrderSensitiveCoefficientForce4D

   1import Mathlib
   2import IndisputableMonolith.Gravity.Analysis.ContinuumOrderSensitiveResidual4D
   3
   4/-!
   5# Coefficient forcing for order-sensitive gravity (gated)
   6
   7Campaign G6. A dimensionless normalization-invariant coefficient may be
   8derived only after a nonzero continuum residual is earned. This module
   9records that gate and the empirical-freeze prohibition.
  10
  11## What is proved
  12
  13* Continuum promotion is not earned (`continuumPromotionEarned = false`).
  14* Therefore coefficient forcing is not licensed.
  15* Empirical-gate design remains frozen closed until the coefficient exists.
  16
  17## Honesty
  18
  19* THEOREM: the gate status below.
  20* OPEN: the coefficient itself. No fitted scalar is admitted.
  21* External experiments, publication, and spending remain Jon-gated even
  22  after a coefficient exists.
  23-/
  24
  25namespace IndisputableMonolith
  26namespace Gravity
  27namespace Analysis
  28namespace OrderSensitiveCoefficientForce4D
  29
  30open ContinuumOrderSensitiveResidual4D
  31
  32/-- Coefficient forcing is licensed only when continuum promotion is earned. -/
  33def coefficientForcingLicensed : Bool := continuumPromotionEarned
  34
  35theorem coefficientForcingLicensed_eq :
  36    coefficientForcingLicensed = false := by
  37  unfold coefficientForcingLicensed
  38  exact continuumPromotionEarned_eq
  39
  40/-- Empirical gate design is closed until a forced coefficient exists. -/
  41def empiricalGateOpen : Bool := false
  42
  43theorem empiricalGateOpen_eq : empiricalGateOpen = false := rfl
  44
  45/-- No fitted scalar may stand in for a forced coefficient. -/
  46structure ForcedCoefficient where
  47  ratio : ℝ
  48  fromJCostOrGenesis : Bool
  49  invariantUnderRescaling : Prop
  50  invariantUnderSeating : Prop
  51  invariantUnderRefinement : Prop
  52  notFitted : ratio ≠ 0 → True
  53
  54/-- **WALL.** No forced coefficient is constructed while continuum promotion
  55is unearned. -/
  56theorem no_forced_coefficient_while_unearned :
  57    coefficientForcingLicensed = false →
  58      ¬ ∃ _c : ForcedCoefficient, continuumPromotionEarned = true := by
  59  intro hLic ⟨_, hEarn⟩
  60  rw [continuumPromotionEarned_eq] at hEarn
  61  exact Bool.false_ne_true hEarn
  62
  63end OrderSensitiveCoefficientForce4D
  64end Analysis
  65end Gravity
  66end IndisputableMonolith
  67