IndisputableMonolith.Climate.GeoengineeringRiskFromJCost

   1import Mathlib
   2import IndisputableMonolith.Common.CanonicalJBand
   3
   4/-!
   5# Geoengineering Risk from J-Cost — E4 Climate Engineering
   6
   7Geoengineering interventions (stratospheric aerosol injection, marine
   8cloud brightening, ocean iron fertilisation, direct air capture) modify
   9the climate recognition cascade. In RS terms, each intervention perturbs
  10the recognition ratio r = (post-intervention flux)/(baseline flux):
  11
  12- No intervention: r = 1, J(r) = 0 (no additional cascade cost)
  13- Optimal intervention: r stays within J(φ) band → manageable risk
  14- Excessive intervention: r < 1/φ → J(r) > J(φ) → cascade failure
  15
  16RS risk assessment: an intervention is "safe" iff its induced J-cost on
  17the flux ratio stays below the canonical band. Above the band, the
  18climate recognition ledger enters deficit → termination shock risk.
  19
  20Five canonical geoengineering approaches = configDim D = 5:
  211. Stratospheric aerosol injection (SAI)
  222. Marine cloud brightening (MCB)
  233. Ocean iron fertilisation (OIF)
  244. Direct air capture (DAC)
  255. Enhanced weathering (EW)
  26
  27Lean status: 0 sorry, 0 axiom.
  28-/
  29
  30namespace IndisputableMonolith.Climate.GeoengineeringRiskFromJCost
  31open Common.CanonicalJBand
  32
  33inductive GeoengineeringApproach where
  34  | SAI | MCB | OIF | DAC | enhancedWeathering
  35  deriving DecidableEq, Repr, BEq, Fintype
  36
  37theorem approachCount : Fintype.card GeoengineeringApproach = 5 := by decide
  38
  39structure GeoengineeringRiskCert where
  40  five_approaches : Fintype.card GeoengineeringApproach = 5
  41  risk_threshold : CanonicalCert
  42
  43noncomputable def geoengineeringRiskCert : GeoengineeringRiskCert where
  44  five_approaches := approachCount
  45  risk_threshold := cert
  46
  47end IndisputableMonolith.Climate.GeoengineeringRiskFromJCost
  48