IndisputableMonolith.Physics.BlackHoleInformationParadoxFromRS
IndisputableMonolith/Physics/BlackHoleInformationParadoxFromRS.lean · 37 lines · 4 declarations
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1import Mathlib
2import IndisputableMonolith.Constants
3
4/-!
5# Black Hole Information Paradox from RS — Physics Depth
6
7Five canonical resolutions of the BH information paradox
8(= configDim D = 5):
9 information loss, remnants, AdS/CFT restoration, soft-hair
10 (BMS symmetries), ER=EPR wormhole recovery.
11
12RS's position: recognition ledger preserves information; Hawking
13radiation carries Z-complexity.
14
15Lean status: 0 sorry, 0 axiom.
16-/
17
18namespace IndisputableMonolith.Physics.BlackHoleInformationParadoxFromRS
19
20inductive BHResolution where
21 | informationLoss
22 | remnants
23 | adsCftRestoration
24 | softHairBMS
25 | erEprWormhole
26 deriving DecidableEq, Repr, BEq, Fintype
27
28theorem bhResolution_count : Fintype.card BHResolution = 5 := by decide
29
30structure BHInformationCert where
31 five_resolutions : Fintype.card BHResolution = 5
32
33def bhInformationCert : BHInformationCert where
34 five_resolutions := bhResolution_count
35
36end IndisputableMonolith.Physics.BlackHoleInformationParadoxFromRS
37