  We present a hamiltonian structure on the Lie group u(3) to describe the
baryon spectrum. The ground state is identified with the proton. From this
single fit we calculate approximately the relative neutron to proton mass shift
to within half a percentage of the experimental value. From the same fit we
calculate the nucleon and delta resonance spectrum with correct grouping and no
missing resonances. For specific spin eigenfunctions we calculate the delta to
nucleon mass ratio to within one percent. Finally we derive parton distribution
functions that compare well with those for the proton valence quarks. The
distributions are generated by projecting the proton state to space via the
exterior derivative on u(3). We predict scarce neutral flavour singlets which
should be visible in neutron diffraction dissociation experiments or in
invariant mass spectra of protons and negative pions in B-decays and in
photoproduction on neutrons. The presence of such singlet states distinguishes
experimentally the present model from the standard model as does the prediction
of the neutron to proton mass splitting. Conceptually the Hamiltonian may
describe an effective phenomenology or more radically describe interior
dynamics implying quarks and gluons as projections from u(3) which we then call
allospace.
