13 Summary of Results

Exact results:

  1. ∥F∥ = 1∕√ --
  n for any n-site equal superposition.
  2. ∥B∥ = ∘ ---------
  (n − 1)∕n for any n-site equal superposition.
  3. ∥F∥2 + ∥B∥2 = 1 for any pure state.
  4. Fermion spin-1∕2 is encoded in the universal −π∕2 phase of Paper VII.
  5. Pauli exclusion: ∥B∥ = 0 for any localised fermion.
  6. Colour symmetry: |Bij| = 1∕3 for all colour pairs in the n=3, m=1 class.
  7. Charge as winding number: m = 0 gives neutral fermion, m = 1 gives charged fermion, within the n=2 sector.

Conjectures (physically motivated, not yet derived):

  1. Confinement from mixed symmetry of the n=3, m=1 fermion residual.
  2. n=3, m=0 as the scalar sector underlying the Higgs mass generation pattern.

Open:

  1. A generation index distinguishing electron, muon, and tau within the single class (2,1). No such parameter exists in the present framework; the previously claimed 4-bit mass ladder is not a derived consequence of Cs and is withdrawn (see Section 10).
  2. Physical identification of the n=4, m=2 spin-2 fermion class and its relation to geometric gravity.