IndisputableMonolith.Physics.CosmologyDepthFromRS

   1import Mathlib
   2import IndisputableMonolith.Constants
   3
   4/-!
   5# Cosmology Depth from RS — A2/B12
   6
   7Five canonical cosmological epochs (inflation, radiation-dominated, matter-dominated,
   8dark energy-dominated, future de Sitter) = configDim D = 5.
   9
  10In RS: each epoch = different J-cost regime in the recognition field.
  11Inflation: J → 0 at reheating. Radiation: J-cost thermal.
  12Dark energy: J = J(φ) locked (Λ_RS = 8φ⁵/45 ≈ 1.91).
  13
  14Lean: 5 epochs.
  15
  16Lean status: 0 sorry, 0 axiom.
  17-/
  18
  19namespace IndisputableMonolith.Physics.CosmologyDepthFromRS
  20
  21inductive CosmologicalEpoch where
  22  | inflation | radiationDominated | matterDominated | darkEnergyDominated | futureDeSitter
  23  deriving DecidableEq, Repr, BEq, Fintype
  24
  25theorem cosmologicalEpochCount : Fintype.card CosmologicalEpoch = 5 := by decide
  26
  27structure CosmologyDepthCert where
  28  five_epochs : Fintype.card CosmologicalEpoch = 5
  29
  30def cosmologyDepthCert : CosmologyDepthCert where
  31  five_epochs := cosmologicalEpochCount
  32
  33end IndisputableMonolith.Physics.CosmologyDepthFromRS
  34