def definition def or abbrev

`halfCyclePhase`

No prose has been written for this declaration yet. The Lean source and graph data below render without it.

formal statement (Lean)

 115noncomputable def halfCyclePhase (s : Spin) : ℂ :=

proof body

Definition body.

 116  Complex.exp (π * I * s.value)
 117
 118/-- The exchange phase: phase under particle exchange.
 119    In QFT, exchanging two identical particles is equivalent to a 2π rotation. -/

depends on (9)

Lean names referenced from this declaration's body.

phase in IndisputableMonolith.Foundation.EightTick decl_use
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
phase in IndisputableMonolith.NumberTheory.RiemannHypothesis.Wedge decl_use
Spin in IndisputableMonolith.QFT.SpinStatistics decl_use
two in IndisputableMonolith.QFT.SpinStatistics decl_use
value in IndisputableMonolith.QFT.SpinStatistics decl_use