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formal statement (Lean)
138theorem rs_entropy_eq (bh : RSBH) :
139 rs_entropy bh = k_R * (horizonArea bh / (4 * ell0 ^ 2)) := rfl
proof body
Term-mode proof.
140
141/-- RS entropy is positive. -/
depends on (17)
Lean names referenced from this declaration's body.
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ell0
in IndisputableMonolith.Constants
decl_use
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k_R
in IndisputableMonolith.Constants.BoltzmannConstant
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ell0
in IndisputableMonolith.Constants.Derivation
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entropy
in IndisputableMonolith.Foundation.InitialCondition
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is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
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is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
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is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
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horizonArea
in IndisputableMonolith.Gravity.UltramassiveBH
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k_R
in IndisputableMonolith.Gravity.UltramassiveBH
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RSBH
in IndisputableMonolith.Gravity.UltramassiveBH
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rs_entropy
in IndisputableMonolith.Gravity.UltramassiveBH
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is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
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horizonArea
in IndisputableMonolith.Quantum.BekensteinHawking
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horizonArea
in IndisputableMonolith.Quantum.BlackHoleInformation
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entropy
in IndisputableMonolith.Thermodynamics.BoltzmannDistribution
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entropy
in IndisputableMonolith.Thermodynamics.PartitionFunction
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horizonArea
in IndisputableMonolith.Unification.BlackHoleBandwidth
decl_use