Color Charge
Color Charge (IV.D154) is the SU(3)-sector specialization of the τ-Geometric Charge (IV.D58): the winding-number invariant of a defect bundle's holonomy on the strong/SU(3) sub-fiber. It is integer-valued in three coupled channels and its conservation/confinement is fixed by the macro color-confinement theorem (V.C12).
τ-Definition
Color Charge (IV.D154) is the SU(3)-sector specialization of the τ-Geometric Charge (IV.D58): the winding-number invariant of a defect bundle's holonomy on the strong/SU(3) sub-fiber. It is integer-valued in three coupled channels and its conservation/confinement is fixed by the macro color-confinement theorem (V.C12).
Categorical invariant. Q_color(B) := winding triple of B's holonomy on the SU(3)-fiber; an E1 invariant valued in the SU(3) weight lattice.
Primary registry anchor:
IV.D154
τ-Derivation Chain
-
I.K0— Universe Postulate establishes τ -
IV.D58— Geometric Charge — master winding-number invariant -
IV.D154— Color Charge specializes Q_geom to the SU(3)/strong sub-fiber -
IV.D475— Color Flux Tube confines color into observable singlets -
V.C12— Macro color confinement: only color-singlet bundles propagate macroscopically
Lean modules referenced:
TauLib.BookIV.Strong.StrongCoupling
SI Translation
Calibration anchor: PG-P01-neutron
Calibration chain:
- m_n (anchor)
- α_s (strong coupling) via dimensionless coupling ledger IV.D300
- Q_color is dimensionless — calibration enters only via α_s and confinement scale Λ_QCD
Manuscript reference: manuscript-sources/book-04/part06-strong-sector/ch-color-charge.tex