τ-Gluon
The τ-gluon is the family of eight massless color-carrier modes of the strong (S-)sector: bi-color boundary characters of the strong holonomy algebra that mediate quark-mode exchange while obeying confinement (no color-singlet gluon, no free isolated gluon).
τ-Definition
The τ-gluon is the family of eight massless color-carrier modes of the strong (S-)sector: bi-color boundary characters of the strong holonomy algebra that mediate quark-mode exchange while obeying confinement (no color-singlet gluon, no free isolated gluon).
Categorical invariant. Eight bi-color massless boundary characters of the S-sector strong holonomy algebra; no singlet; self-interacting.
Primary registry anchor:
IV.D483
Supporting items:
IV.D484,
IV.D485,
IV.P115,
IV.P116,
IV.P290,
IV.P333,
IV.T256,
IV.T287
τ-Derivation Chain
-
IV.D12— Particle Kind: a particle is a stable defect bundle on the T² fiber -
IV.D483— Gluon Color Content — bi-color carrier structure -
IV.P115— Gluon Count — eight gluons -
IV.T256— Eight Gluon Types theorem (3 ⊗ 3̄ minus singlet) -
IV.P333— No Color Singlet Gluon — singlet excluded by holonomy structure -
IV.D484— Gluon Exchange — quark-mode coupling mechanism -
IV.P290— Gluon Exchange Conserves Color -
IV.P116— Gluon Self-Interaction Vertices (3-gluon and 4-gluon) -
IV.T287— Gluon Self-Interaction theorem from non-Abelian holonomy
Lean modules referenced:
TauLib.BookIV.Strong.QuarksGluons,
TauLib.BookIV.Strong.ColorHolonomy
SI Translation
Numerical value: 0 ± 0 kg
Calibration anchor: PG-P01-neutron
Calibration chain:
- Boundary character (massless by structural derivation, IV.D483)
- Strong-sector holonomy normalization (IV.D485)
Manuscript reference: manuscript-sources/book-04/part04/ch29-strong-vacuum-holonomy.tex
Lean Coverage
Status: Formalized
Module: TauLib.BookIV.Strong.QuarksGluons
Lean kind: theorem
Lean symbol: QuarksGluons