recognition /
Quantum /
Quantum.BekensteinHawking /
explainer
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formal statement (Lean)
106 noncomputable def informationContent (bh : BlackHole) : ℝ :=
proof body
Definition body.
107 entropyInBits bh
108
109 /-! ## Hawking Temperature -/
110
111 /-- The Hawking temperature T_H = ℏ c³ / (8π G M k_B).
112
113 A black hole radiates as a black body at this temperature.
114 Smaller black holes are HOTTER (T ∝ 1/M). -/
depends on (20)
Lean names referenced from this declaration's body.
G
in IndisputableMonolith.Constants
decl_use
G
in IndisputableMonolith.Constants.Codata
decl_use
G
in IndisputableMonolith.Cost.FunctionalEquation
decl_use
T
in IndisputableMonolith.Foundation.Breath1024
decl_use
A
in IndisputableMonolith.Foundation.IntegrationGap
decl_use
as
in IndisputableMonolith.Foundation.SimplicialLedger.ContinuumBridge
decl_use
T
in IndisputableMonolith.Gap45.SyncMinimization
decl_use
G
in IndisputableMonolith.Gravity.JCostInflaton
decl_use
k_B
in IndisputableMonolith.Information.ComputationLimitsStructure
decl_use
A
in IndisputableMonolith.Masses.Anchor
decl_use
A
in IndisputableMonolith.Modal.Actualization
decl_use
BlackHole
in IndisputableMonolith.Quantum.BekensteinHawking
decl_use
entropyInBits
in IndisputableMonolith.Quantum.BekensteinHawking
decl_use
k_B
in IndisputableMonolith.Quantum.BekensteinHawking
decl_use
BlackHole
in IndisputableMonolith.Quantum.BlackHoleInformation
decl_use
k_B
in IndisputableMonolith.Quantum.PageCurve
decl_use
M
in IndisputableMonolith.Recognition
decl_use
M
in IndisputableMonolith.Recognition.Cycle3
decl_use
temperature
in IndisputableMonolith.Thermodynamics.BoltzmannDistribution
decl_use
k_B
in IndisputableMonolith.Thermodynamics.PartitionFunction
decl_use