Part IV: The Strong Sector and Confinement
The second force tool is the C-sector—the η-generator domain, χ_--dominant, with gauge group SU(3). Where the electroweak arc (Part III) was gentle, the…
Part Overview
The second force tool is the C-sector—the η-generator domain, χ_–dominant, with gauge group SU(3). Where the electroweak arc (Part III) was gentle, the strong sector is topologically forceful: a non-trivial vacuum, non-abelian self-interaction, and a confinement mechanism that is structural, not dynamical.
Part IV opens with the strong vacuum and colour holonomy , derives confinement as address irresolvability , and proves the τ-gap meta-theorem —a spectral gap result whose C-sector instance yields the Yang–Mills mass gap. the relevant chapter develops quarks and gluons as confined character modes, the No-Running Principle, and the α_s(M_Z) near-match (2κ(C) ≈ 0.1208 vs. 0.1180). the relevant chapter dissolves the vacuum catastrophe, and the relevant chapter assembles the complete sector atlas: every Standard Model particle located in the τ³ fibration.
By the end of Part IV the force survey of the fiber T² is complete. All four sectors—D (gravity), A (weak), B (electromagnetic), C (strong)—and the crossing ω (Higgs/mass) have been earned.
Chapters
Chapter Navigation
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