The Standard Model has 19 free parameters that nobody can derive. Z₉ Theory proposes they are not free at all—they are algebraically determined by a single discrete symmetry, with only 1 free parameter producing 32 testable predictions.
The Problem of Free Parameters
The Standard Model of particle physics is the most successful scientific theory ever constructed. It predicted the Higgs boson, explained the anomalous magnetic moment of the electron to 12 decimal places, and has survived every experimental test thrown at it for five decades.
And yet it depends on 19 numbers that it cannot explain: three charged lepton masses, six quark masses, three mixing angles and a CP phase for quarks, three gauge coupling constants, the Higgs mass, and the Higgs vacuum expectation value. These are measured in experiments and inserted by hand.
What Would a Zero-Parameter Theory Look Like?
Imagine a theory where every particle mass, every coupling, every mixing angle is derived from a single mathematical structure. Not fitted. Not approximated. Derived—as exact rational numbers that can be checked against experiment.
Such a theory would need to answer questions the Standard Model cannot: Why three generations? Why these particular mass ratios? Why does the fine structure constant equal 1/137 and not some other value?
Z₉ Theory: One Free Parameter, 32 Outputs
Z₉ Theory proposes that a discrete cyclic symmetry group—Z₉, the cyclic group of order 9—acts as a hidden flavour symmetry constraining the Standard Model Lagrangian. From this symmetry and a single measured input (the electron mass), the framework derives 40 physical quantities.
These include: the fine structure constant (α = 1/137.036…), the proton-to-electron mass ratio (1836.15), all charged lepton masses, all quark masses, all three gauge couplings, the complete CKM and PMNS mixing matrices, the Higgs VEV, and the dark energy density.
Continue Reading
- Two Million Random Theories, Zero Matches
- The Equation That Explains Everything
- Five Experiments That Will Test Z₉ Theory
For the full technical details: Visit z9theory.com to read the complete papers and mathematical derivations.