  By expanding the projection operator in powers of the density fluctuations,
we conjecture a hamiltonian purely quadratic in the sea-bosons that reproduces
the right spin and charge velocities and exponent for the $ U = \infty $ case
in one dimension known from the work of Schulz.
  Then we argue that by simply promoting wavenumbers to wave vectors we are
able to study the two dimensional case. We find that the quasiparticle residue
takes a value $ Z_{F} = 0.79 $ close to half-filling where it is the smallest.
  This is in exact agreement with the prediction by Castro-Neto and Fradkin
nearly ten years ago. We also compute the magnetic suceptibility and find that
it diverges close to half-filling consistent with Nagakoka's theorem.
