recognition /
Cosmology /
Cosmology.FlatnessProblem /
explainer
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formal statement (Lean)
53 noncomputable def omega_observed : DensityParameter := {
proof body
Definition body.
54 value := 1.0,
55 uncertainty := 0.0002,
56 value_pos := by norm_num
57 }
58
59 /-- The critical density at the current epoch.
60
61 ρ_c = 3H₀²/(8πG) ≈ 9.5 × 10⁻²⁷ kg/m³
62
63 This is incredibly dilute: about 5 hydrogen atoms per cubic meter! -/
depends on (11)
Lean names referenced from this declaration's body.
G
in IndisputableMonolith.Constants
decl_use
G
in IndisputableMonolith.Constants.Codata
decl_use
DensityParameter
in IndisputableMonolith.Cosmology.FlatnessProblem
decl_use
G
in IndisputableMonolith.Cost.FunctionalEquation
decl_use
is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
G
in IndisputableMonolith.Gravity.JCostInflaton
decl_use
is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
density
in IndisputableMonolith.Physics.NeutronStarCrustalRegimesFromRS
decl_use
value
in IndisputableMonolith.QFT.SpinStatistics
decl_use