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formal statement (Lean)
53noncomputable def horizonArea (bh : RSBH) : ℝ :=
proof body
Definition body.
54 4 * Real.pi * (schwarzschildRadius bh) ^ 2
55
56/-- Recognition Boltzmann constant: k_R = ln φ ≈ 0.481.
57 This is the information cost of one recognition event (one φ-bit). -/
used by (17)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (27)
Lean names referenced from this declaration's body.
-
of
in IndisputableMonolith.Astrophysics.NucleosynthesisTiers
decl_use
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k_R
in IndisputableMonolith.Constants.BoltzmannConstant
decl_use
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of
in IndisputableMonolith.Foundation.DAlembert.LedgerFactorization
decl_use
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one
in IndisputableMonolith.Foundation.IntegersFromLogic
decl_use
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cost
in IndisputableMonolith.Foundation.MultiplicativeRecognizerL4
decl_use
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cost
in IndisputableMonolith.Foundation.ObserverForcing
decl_use
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is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
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of
in IndisputableMonolith.Foundation.PhiForcingDerived
decl_use
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one
in IndisputableMonolith.Foundation.RationalsFromLogic
decl_use
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is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
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of
in IndisputableMonolith.Foundation.SpectralEmergence
decl_use
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is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
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k_R
in IndisputableMonolith.Gravity.UltramassiveBH
decl_use
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RSBH
in IndisputableMonolith.Gravity.UltramassiveBH
decl_use
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schwarzschildRadius
in IndisputableMonolith.Gravity.UltramassiveBH
decl_use
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of
in IndisputableMonolith.Information.PhysicsComplexityStructure
decl_use
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is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
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one
in IndisputableMonolith.QFT.SpinStatistics
decl_use
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horizonArea
in IndisputableMonolith.Quantum.BekensteinHawking
decl_use
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schwarzschildRadius
in IndisputableMonolith.Quantum.BekensteinHawking
decl_use
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horizonArea
in IndisputableMonolith.Quantum.BlackHoleInformation
decl_use
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schwarzschildRadius
in IndisputableMonolith.Quantum.BlackHoleInformation
decl_use
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one
in IndisputableMonolith.RecogSpec.Core
decl_use
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constant
in IndisputableMonolith.Relativity.Fields.Scalar
decl_use
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schwarzschildRadius
in IndisputableMonolith.RRF.Foundation.Gravity
decl_use
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horizonArea
in IndisputableMonolith.Unification.BlackHoleBandwidth
decl_use
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schwarzschildRadius
in IndisputableMonolith.Unification.BlackHoleBandwidth
decl_use