Advanced Level — TQNT V6
Five technical chapters for researchers in theoretical physics. Covers the V6 demonstrative chain (from the weave to the particles), the construction of the χ field, the AJ conjecture, the mass operator Ωts, and the exhaustive PDG scan (historical annex — canon: 89 masses at 0.13% median). Designed to be read alongside the TQNT V6 monograph.
Prerequisites
- Advanced quantum field theory (Peskin & Schroeder, Weinberg I–III)
- Algebraic topology: fundamental group, homology, fibre bundles (Hatcher)
- Chern–Simons theory and Witten invariants (Witten 1989, RT 1991)
- Jones polynomial and A-polynomial (Cooper et al. 1994, Garoufalidis 2004)
- Familiarity with the Discovery and Intermediate paths is recommended
The path, chapter by chapter
The V6 demonstration — from the weave to the particles
The twelve-link demonstrative chain: from the primitives (χ field, the weave) to the observables — boxed formulas, statuses, and the postulates recapped in the assessment.
Construction of the χ field
Lagrangian, Chern–Simons action, equations of motion, flat connections and the character variety.
A-polynomial and the AJ conjecture
From F_A = 0 to the Schrödinger operator: the emergence chain and the Garoufalidis conjecture.
The canonical mass law m = √σχ 𝒮
The single scale and the sector laws (Koide, Regge, GMOR, stoikhions, VEV); the former Ω_ts operator as an annex.
Validating the spectrum: scores, null tests, audits
How the canonical spectrum is judged (89 states at 0.13 %, null test, honest audits); the former PDG scan as an annex.
To complement this course, consult the full monograph TQNT V6 (Zenodo) and the six companion articles: P1 (CP/Jones), P2 (AJ/Schrödinger), P3 (DM pearls), P4 (solar), P5 (confinement), P6 (qubits). Source code and reproducibility: github.com/CA9-sas/TQNT.