TQNT Online Course
The Topological Knot Quantum Theory proposes that elementary particles are not points, but knots in a unified field. This open-access course takes you step by step, from the concept of a topological knot to its cosmological consequences: three progressive paths — pick the one that matches your scientific background. It is also an original gateway into the quantum physics of particles: spin, mass, charge and wave-particle duality are all explained step by step.
General public
No prerequisites · ~1–2 hIf the words topological knot, gauge field or Jones polynomial sound to you like something between sewing and algebra, this path is for you. Five maths-free lessons to get the picture.
- Lesson 1 — What if particles were knots?
- Lesson 2 — Why is the proton (almost) eternal?
- Lesson 3 — Where is dark matter hiding?
- Lesson 4 — The fate of black holes
- Lesson 5 — Standard Model versus TQNT
High-school / Year 1
High-school senior to Year 2 · ~5–8 hYou hold a science high-school diploma or you study physics. Five structured modules with light maths (linear algebra, introductory quantum mechanics), quizzes and guided exercises to anchor the concepts.
- Module 1 — From the Standard Model to topology
- Module 2 — Knot mathematics (Jones, invariants)
- Module 3 — The SU(2) Chern–Simons field
- Module 4 — Computing masses, spins and charges
- Module 5 — Cosmological predictions
Researcher / Master
Master's, PhD in theoretical physics · ~15–20 hYou work in quantum field theory, algebraic topology or particle physics. Five technical chapters with proofs, computations and cross-references to the companion Zenodo papers.
- Chapter 1 — The V6 demonstration (chain 0→11)
- Chapter 2 — Construction of the χ field
- Chapter 3 — A-polynomial and the AJ conjecture
- Chapter 4 — The canonical mass law m = √σχ 𝒮
- Chapter 5 — Validating the spectrum (null tests, audits)
Frequently asked questions
What exactly is TQNT?
The Topological Knot Quantum Theory proposes that elementary particles are not points but topological knots of an SU(2) Chern–Simons gauge field. The mass, spin and charge of each particle are computed from the geometric shape of the knot, with only 10 global parameters for 89 masses at 0.13% median (V6).
Is the course really free?
Yes, the entire course is in open access. The complete TQNT V6 monograph (330 pages, FR/EN) and the companion articles are also freely available on Zenodo in the TQNT community with permanent DOIs.
How long does it take to complete the course?
The Discovery path takes 1 to 2 hours. The Intermediate path requires 5 to 8 hours with quizzes and exercises. The Advanced path can take 15 to 20 hours and requires reading the TQNT V6 monograph in parallel.
What are the differences with the Standard Model?
The Standard Model uses 19 free parameters and does not derive particle masses. TQNT V6 reproduces 89 masses at 0.13% median (extension: 226 states at 1.43%) with 10 global parameters and zero per-particle adjustment. TQNT also explains dark matter (knots beyond the derived 23-crossing threshold), the cosmological constant (ρΛ predicted to order of magnitude — the 123 orders resolved) and makes dated falsifiable predictions (LHCb spectroscopy, Fermi-LAT γ lines, predicted absences).
Is TQNT scientifically recognised?
TQNT is a theory under development by the research division of CA9 SAS, with a monograph of about 330 pages (FR/EN) and companion articles published in open access on Zenodo with permanent DOIs. It offers dated falsifiable predictions, testable by LHCb, Hyper-Kamiokande, DESI, Fermi-LAT and LiteBIRD by 2032.
Which mathematical tools does TQNT rely on?
TQNT relies on knot theory (Jones polynomial, A-polynomial, AJ conjecture), SU(2) Chern–Simons theory at level k = 135 (related to α = 1/137), braid groups and the Reshetikhin–Turaev R-matrices. The Advanced path of the course covers these tools in detail.
Can the course be cited in a publication?
For an academic reference, cite the TQNT V6 monograph (doi:10.5281/zenodo.19131538) or the specific papers on Zenodo. The online course serves as an introduction and popularisation; the scientific source of truth remains the publications with permanent DOIs.
Where can I find the scientific publications?
All TQNT publications are openly available on Zenodo, TQNT community. The main monograph: TQNT V6 (doi:10.5281/zenodo.19131538). Six companion articles cover CP violation (P1), the derivation of Schrödinger (P2), dark-matter pearls (P3), photovoltaic conversion (P4), topological confinement (P5) and chiral qubits (P6).
Does this course cover quantum physics?
Yes. TQNT is a quantum theory: this course explains the key concepts of the quantum physics of particles — spin, mass, charge, wave-particle duality and gauge fields — through a geometric approach based on topological knots. It is an original introduction to quantum physics, complementary to a classic quantum mechanics course.
Complete scientific resources
To go further, access the complete TQNT V6 monograph (330 pages, CC-BY 4.0) and the companion articles published on Zenodo. All contents are under an open licence.
Visit the TQNT community on Zenodo