Lesson 5 • Discovery • ~15 min read • No maths

Standard Model vs TQNT

Note: the canonical numbers and results of this course are those of the TQNT monograph — the spacetime weave, m = √σχ 𝒮, G = ℏc/MPl², the Koide relation explained. Passages documenting older, now archived approaches are flagged as such.

You now know what TQNT says. But how does it compare to the Standard Model, which has dominated particle physics for 50 years? Let's compare honestly, without flattery or contempt.

The Standard Model: a historic success

Before criticising the Standard Model, we must salute its success. Built between 1960 and 1980 by several generations of physicists, it is the theory that describes the known particles and their interactions (except gravity). Its precision is extraordinary: on some quantities it is verified to one part per billion.

The Higgs boson, predicted in 1964, was observed at CERN in 2012. The mechanism by which particles acquire mass — interaction with the Higgs field — works. It is a magnificent intellectual edifice, and it is not wrong. It is simply, perhaps, incomplete.

The six quiet limits of the Standard Model

If you ask a particle physicist what frustrates them about the Standard Model, here are the typical answers:

  1. It has 19 free parameters. The particle masses, the mixing angles, the coupling constants — all of these are measured by hand and inserted into the theory. Nobody knows where these values come from.
  2. It does not say why there are three generations of particles (the electron, the muon and the tau, for example, share the same properties but have different masses — why exactly three?).
  3. It does not contain gravity. Every attempt to combine it with quantum mechanics (quantum gravity) runs into uncontrollable infinities.
  4. It says nothing about dark matter. No Standard Model particle fits the bill.
  5. It says nothing about dark energy. Its 'natural' prediction (the cosmological constant from vacuum energy) is wrong by 120 orders of magnitude.
  6. It leaves an open singularity at the heart of black holes, and an unresolved information paradox.
Note

None of these problems refutes the Standard Model. But all of them suggest that there is a deeper description of which the Standard Model would be an effective approximation. Most physicists think exactly that.

The comparison table

Criterion Standard Model TQNT V6
Free parameters 19 10
Particle masses Measured by hand Computed (89 masses at 0.13% median, V6)
Origin of spin Imposed by relativity Derived from the knot shape
Integer charge Postulated Theorem (= linking number)
Three generations Unexplained Derived (dim. SU(2) = 3)
Gravity External (GR) Emergent from wave density
Dark matter No candidate 117 candidates predicted
Dark energy 10¹²⁰ catastrophe Predicted within 5%
Black hole singularity Present Absent (frozen-knot star)
Proton stability Postulated Topological theorem

And where does TQNT fall short?

Let's be honest. TQNT also has its limits, and they must be acknowledged:

  1. It is young. It has been developed by a single person (Lilian Cariou, CA9 SAS) and has not yet been independently reproduced by other teams. The Standard Model has 50 years of confrontation with tens of thousands of experiments; TQNT, a few months.
  2. It still needs experimental validation. Its flagship predictions (dark-matter pearls, no gamma signal from dark matter, precise spectroscopic signatures) must be tested by DUNE, Gaia, LSST, JWST and LIGO during 2027–2030.
  3. Some lifetimes are predicted with lower precision than in the Standard Model. In particular, the suppressed channels (J/ψ, K⁰_S) remain a challenge.
  4. It uses a less familiar formalism. Physicists have spent decades mastering quantum field theory. Learning knot theory, Chern–Simons and the Jones polynomial requires a relearning effort.

How will the question be settled?

In science, you do not choose a theory by aesthetic preference: you decide through experiment. TQNT puts forward several falsifiable predictions testable in the coming years.

1. The neutrino sector (DUNE, Hyper-K, DESI)

The former fine prediction (+7.4 × 10⁻³ rad on the CP phase) has been withdrawn: in V6 the leptonic CP phase is an open target, not a number. What remains falsifiable — and sharp: the neutrino is a free χ wave with no topology, hence strictly zero neutrinoless double-beta decay, Σmν ≈ 66 meV (within DESI's reach), and no sterile neutrino, ever — Z₃ saturation is a theorem. Any contrary discovery would refute TQNT.

2. Dark-matter pearls (Gaia, LSST, JWST, LIGO, 2025–2030)

If dark matter forms compact objects (from asteroid to planet size), we should be able to detect gravitational microlensing with no luminous counterpart, anomalous astrometric perturbations on nearby stars, and possible neutron-star-plus-pearl mergers. Five independent signatures, to be verified by 2030.

3. The Z boson predicted with no intrinsic CP violation

In V6, the Z is the link 7₂+8₃+9₁ (and the Higgs 7₁+8₃+10₁): Z and H are read as degenerate mirror doublets — the link and its mirror image superposed. The attached prediction: this degeneracy is exact. Any measured splitting between the two members of a doublet would be an electroweak CP-odd signature — testable by precision measurements at CERN's future FCC collider.

4. The dark-matter / ordinary-matter ratio

An earlier version announced “confirmed to within 1%” (5.5 predicted); the audit requalified this: the parameter-free reconstruction reaches the order of magnitude of Planck (5.45 ± 0.28). The fine structure, however, remains predicted: a reservoir of isolated prime knots at 1.7–2.2 GeV (the target of Migdal-effect detectors such as DarkSide-20k) and 6 strict states — 6 narrow γ lines between 1.07 and 1.64 GeV to be searched for in deep Fermi-LAT data.

TQNT's wager

TQNT makes precise wagers about the future. Either they will be confirmed — and TQNT will become a serious candidate to replace the Standard Model — or they will be falsified, and TQNT will be adjusted or abandoned. In all cases, experiment will decide. That is what makes TQNT scientific in Popper's sense.

What to remember from this path?

At the end of this fifth lesson, you have seen:

If you enjoyed this popular-science presentation, you can now move on to the Intermediate path (high-school/year-1), which introduces the necessary maths, or go directly to the detailed TQNT V6 page with its interactive graphics and full particle table.

And if you want to dig down to the primary source: the full TQNT V6 monograph (330 pages, open, FR/EN) is on Zenodo, together with six companion articles available in the TQNT community.

End-of-path quiz

Four questions to anchor the Standard Model vs TQNT comparison.

1. How many free parameters do the Standard Model and TQNT V6 respectively have?

Exactly. And above all, TQNT has 0 adjustable parameter per particle — it reproduces 89 PDG masses at 0.13% median with the same 10 global parameters.

2. What is TQNT's biggest current weakness, honestly?

There it is. TQNT is mathematically consistent and makes precise predictions, but it still has to be validated independently and tested by the major ongoing experiments.

3. What makes a theory scientific in Popper's sense?

Exactly. TQNT makes at least four precise wagers for the 2025–2030 decade, which makes it scientific in the strong sense of the word.

4. At the heart of every lesson, we saw that TQNT replaced Standard Model postulates with theorems. Which ones?

This is exactly the structural wager of TQNT: turn what was postulated into what is proved, using topology as the underlying grammar.

🎉 You have finished the Discovery path!

You now understand the basic intuition of TQNT, and why it offers a scientifically serious alternative to the Standard Model. If you want to go further:

Move to the Intermediate path →

Or check the detailed TQNT V6 page with its interactive graphics.