recognition /
Quantum /
Quantum.PlanckScale /
explainer
No prose has been written for this declaration yet. The Lean source and graph data below render
without it.
generate prose now
formal statement (Lean)
50 noncomputable def planckTemperature : ℝ := planckEnergy / (1.380649e-23)
proof body
Definition body.
51
52 /-! ## Relationship to τ₀ -/
53
54 /-- The ratio τ₀ / t_P:
55
56 τ₀ ≈ 1.288 × 10⁻²⁷ s
57 t_P ≈ 5.391 × 10⁻⁴⁴ s
58
59 τ₀ / t_P ≈ 2.39 × 10¹⁶
60
61 This is a huge number! What powers of φ does it equal? -/
used by (1)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (11)
Lean names referenced from this declaration's body.
of
in IndisputableMonolith.Astrophysics.NucleosynthesisTiers
decl_use
of
in IndisputableMonolith.Foundation.DAlembert.LedgerFactorization
decl_use
is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
of
in IndisputableMonolith.Foundation.PhiForcingDerived
decl_use
is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
of
in IndisputableMonolith.Foundation.SpectralEmergence
decl_use
is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
of
in IndisputableMonolith.Information.PhysicsComplexityStructure
decl_use
is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
planckTemperature
in IndisputableMonolith.Quantum.BekensteinHawking
decl_use
planckEnergy
in IndisputableMonolith.Quantum.PlanckScale
decl_use