  We present three searches for new particles at CDF. First, using 70 pb^-1 of
data we search the dijet mass spectrum for resonances. There is an upward
fluctuation near 550 GeV (2.6 sigma) with an angular distribution that is
adequately described by either QCD alone or QCD plus 5% signal. There is
insufficient evidence to claim a signal, but we set the most stringent mass
limits on the hadronic decays of axigluons, excited quarks, technirhos, W', Z',
and E6 diquarks. Second, using 19 pb^-1 of data we search the b-tagged dijet
mass spectrum for b anti-b resonances. Again, an upward fluctuation near 600
GeV (2 sigma) is not significant enough to claim a signal, so we set the first
mass limits on topcolor bosons. Finally, using 67 pb^-1 of data we search the
top quark sample for t anti-t resonances like a topcolor Z'. Other than an
insignificant shoulder of 6 events on a background of 2.4 in the mass region
475-550 GeV, there is no evidence for new particle production. Mass limits,
currently in progress, should be sensitive to a topcolor Z' near 600 GeV. In
all three searches there is insufficient evidence to claim new particle
production, yet there is an exciting possibility that the upward fluctuations
are the first signs of new physics beyond the standard model.
