recognition /
Physics /
Physics.PMNS.Types /
explainer
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formal statement (Lean)
12 noncomputable def pmns_weight (dτ : ℤ) : ℝ :=
proof body
Definition body.
13 Real.exp (- (dτ : ℝ) * J_bit)
14
15 /-- **DEFINITION: PMNS Unitarity Forcing**
16 A matrix `U` satisfies `PMNSUnitarity U` if it is unitary and its Born-rule
17 probabilities `‖U i j‖^2` match the framework’s predicted weight tensor.
18
19 Note: existence of such a `U` is currently treated as a quarantined conjecture
20 (`IndisputableMonolith/Physics/PMNS/Construction.lean`). The certified particle
21 claims do **not** depend on that existence statement. -/
used by (4)
From the project-wide theorem graph. These declarations reference this one in their body.
pmns_prob
in IndisputableMonolith.Physics.MixingDerivation
decl_use
pmns_weight
in IndisputableMonolith.Physics.MixingDerivation
decl_use
pmns_weight_eq_phi_pow
in IndisputableMonolith.Physics.MixingDerivation
decl_use
PMNSUnitarity
in IndisputableMonolith.Physics.PMNS.Types
decl_use
depends on (19)
Lean names referenced from this declaration's body.
of
in IndisputableMonolith.Astrophysics.NucleosynthesisTiers
decl_use
U
in IndisputableMonolith.Constants.RSNativeUnits
decl_use
of
in IndisputableMonolith.Foundation.DAlembert.LedgerFactorization
decl_use
A
in IndisputableMonolith.Foundation.IntegrationGap
decl_use
is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
of
in IndisputableMonolith.Foundation.PhiForcingDerived
decl_use
as
in IndisputableMonolith.Foundation.SimplicialLedger.ContinuumBridge
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
A
in IndisputableMonolith.Masses.Anchor
decl_use
is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
A
in IndisputableMonolith.Modal.Actualization
decl_use
and
in IndisputableMonolith.NumberTheory.CirclePhaseLift
decl_use
that
in IndisputableMonolith.NumberTheory.PhiLadderLattice
decl_use
pmns_weight
in IndisputableMonolith.Physics.MixingDerivation
decl_use
PMNSUnitarity
in IndisputableMonolith.Physics.PMNS.Types
decl_use
U
in IndisputableMonolith.Recognition
decl_use