Color Flux Tube
Color Flux Tube (IV.D475) is the τ-categorical defect-bundle topology connecting color-charged sub-bundles. Its quantized cross-sectional flux (IV.P138) and confined topology (V.C12) enforce τ-color confinement, with linear tension Λ_QCD setting the strong-interaction energy scale.
τ-Definition
Color Flux Tube (IV.D475) is the τ-categorical defect-bundle topology connecting color-charged sub-bundles. Its quantized cross-sectional flux (IV.P138) and confined topology (V.C12) enforce τ-color confinement, with linear tension Λ_QCD setting the strong-interaction energy scale.
Categorical invariant. Φ_color(γ) := SU(3)-flux carried by a tube γ connecting color-charged endpoints; an E2 invariant satisfying flux quantization.
Primary registry anchor:
IV.D475
τ-Derivation Chain
-
I.K0— Universe Postulate establishes τ -
IV.D154— Color Charge — SU(3) winding invariant -
IV.D475— Color Flux Tube — defect-bundle topology connecting color-charged endpoints -
IV.P138— Flux quantization fixes the integer-valued tube spectrum -
V.C12— Macro color confinement: tubes can only end on singlets
Lean modules referenced:
TauLib.BookIV.Strong.StrongCoupling
SI Translation
Calibration anchor: PG-P01-neutron
Calibration chain:
- m_n (anchor)
- α_s via IV.D300 → Λ_QCD confinement scale
- tube tension σ ≈ Λ_QCD² (in natural units)
Manuscript reference: manuscript-sources/book-04/part06-strong-sector/ch-flux-tube.tex