12 Open Problems

  1. A generation index for charged leptons. Identify a parameter, absent from the present (n,m) classification, that distinguishes electron, muon, and tau. Only once such a parameter exists can its connection (if any) to Cs, to the observed mass gaps, and to the number of generations be assessed.
  2. Quark mass hierarchy. Connect the six quark masses to Cs, pending resolution of the generation-index problem above.
  3. Electromagnetic force law from fermion residual. Apply the graviton flux argument of Paper VII to the n=2, m=1 antisymmetric residual and derive the Coulomb 1∕r2 law.
  4. Confinement as theorem. Prove that mixed-symmetry fermion residuals cannot be free asymptotic states under any minimum-description-length codec.
  5. Cross-layer synthesis. Connect the geometric gravity of Papers IV–V to the fermion worldline codec. Determine whether the n=4, m=2 fermion class and the geometric graviton are the same physical entity.
  6. Many-fermion extension. Extend the single-fermion codec to tensor products, giving composite particles and the full Fock space.