recognition /
StandardModel /
StandardModel.PMNSMatrix /
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formal statement (Lean)
166 noncomputable def mass_ratio : ℝ := deltam31_sq / deltam21_sq
proof body
Definition body.
167
168 /-- **THEOREM**: The atmospheric/solar mass ratio is approximately φ⁷ with ~15% deviation.
169 mass_ratio ≈ 33.8, φ⁷ ≈ 29.0, ratio ≈ 1.17
170
171 The numerical verification shows mass_ratio/φ⁷ ∈ (1.1, 1.2). -/
used by (11)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (10)
Lean names referenced from this declaration's body.
is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
mass_ratio
in IndisputableMonolith.Physics.MesonSpectrumFromPhiLadder
decl_use
mass_ratio
in IndisputableMonolith.Physics.NeutrinoMassFromPhiLadder
decl_use
deltam21_sq
in IndisputableMonolith.StandardModel.NeutrinoMassHierarchy
decl_use
deltam31_sq
in IndisputableMonolith.StandardModel.NeutrinoMassHierarchy
decl_use
deltam21_sq
in IndisputableMonolith.StandardModel.PMNSMatrix
decl_use
deltam31_sq
in IndisputableMonolith.StandardModel.PMNSMatrix
decl_use