TQNT Intermediate Path
You have a scientific high-school background or are studying physics. Five structured modules with light maths, quizzes and guided exercises to move from intuition to precise understanding.
Prerequisites
- Maths at high-school to year-1 level: complex numbers, functions, derivatives, simple integrals
- Basic physics: forces, energy, waves, atomic structure
- Introductory quantum-mechanics notions (helpful, not required)
- Having gone through the Discovery path is recommended
The path, module by module
From the Standard Model to topology
The fundamental forces, the 19 free parameters, and why topology can derive them all.
Mathematics of knots
Reidemeister moves, the Jones polynomial, invariants: the knot-theory toolkit.
The SU(2) Chern–Simons field
The field theory that underlies everything: action, level k = 135, connection to α = 1/137.
Computing masses, spins and charges
The universal formula, the 10 global parameters, and the nucleon as a 3₁ + 7₂ + 7̄₂ link.
Cosmological predictions
Dark matter, dark energy, inflation, black holes: the large-scale consequences.
Once this path is complete, you can move on to the Advanced path (researcher level) covering postulates P1–P23, the AJ conjecture and the canonical mass law m = √σ_χ·𝒮, or consult the detailed TQNT V6 page and the six companion articles on Zenodo.