  We consider the possibility of studying novel particles at the TeV scale with
enhanced couplings to the top quark via top quark pair production at the LHC
and VLHC. In particular we discuss the case of neutral scalar and vector
resonances associated with a strongly interacting electroweak symmetry breaking
sector. We constrain the couplings of these resonances by imposing appropriate
partial wave unitarity conditions and known low energy constraints. We evaluate
the new physics signals via WW -> tt~ for various models without making
approximation for the initial state W bosons, and optimize the acceptance cuts
for the signal observation. We conclude that QCD backgrounds overwhelm the
signals in both the LHC and a 200 TeV VLHC, making it impossible to study this
type of physics in the tt~ channel at those machines.
