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formal statement (Lean)
38noncomputable def planckLength : ℝ := sqrt (hbar * G / c^3)
proof body
Definition body.
39
40/-- The Planck mass m_P = √(ℏc/G) ≈ 2.176 × 10⁻⁸ kg. -/
used by (7)
From the project-wide theorem graph. These declarations reference this one in their body.
-
planckArea
in IndisputableMonolith.Quantum.BekensteinHawking
decl_use
-
planckLength
in IndisputableMonolith.Quantum.BekensteinHawking
decl_use
-
planckArea
in IndisputableMonolith.Quantum.EntanglementEntropy
decl_use
-
planckLength
in IndisputableMonolith.Quantum.EntanglementEntropy
decl_use
-
planckArea
in IndisputableMonolith.Quantum.HolographicBound
decl_use
-
planckLength
in IndisputableMonolith.Quantum.HolographicBound
decl_use
-
planckArea_pos
in IndisputableMonolith.Unification.RecognitionBandwidth
decl_use
depends on (11)
Lean names referenced from this declaration's body.
-
G
in IndisputableMonolith.Constants
decl_use
-
hbar
in IndisputableMonolith.Constants
decl_use
-
G
in IndisputableMonolith.Constants.Codata
decl_use
-
hbar
in IndisputableMonolith.Constants.Codata
decl_use
-
G
in IndisputableMonolith.Cost.FunctionalEquation
decl_use
-
G
in IndisputableMonolith.Gravity.JCostInflaton
decl_use
-
hbar
in IndisputableMonolith.Information.ComputationLimitsStructure
decl_use
-
planckLength
in IndisputableMonolith.Quantum.BekensteinHawking
decl_use
-
hbar
in IndisputableMonolith.Quantum.EntanglementEntropy
decl_use
-
planckLength
in IndisputableMonolith.Quantum.EntanglementEntropy
decl_use
-
planckLength
in IndisputableMonolith.Quantum.HolographicBound
decl_use