  The direct s-channel coupling to Higgs bosons is 40000 times greater for
muons than electrons; the coupling goes as mass squared. High precision
scanning of the lighter $h^0$ and the higher mass $H^0$ and $A^0$ is thus
possible with a muon collider. The $H^0$ and $A^0$ are expected to be nearly
mass degenerate and to be CP even and odd, respectively. A muon collider could
resolve the mass degeneracy and make CP measurements. The origin of CP
violation in the $K^{0}$ and $B^{0}$ meson systems might lie in the the
$H^0/A^0$ Higgs bosons. If large extra dimensions exist, black holes with
lifetimes of $\sim 10^{-26}$ seconds could be created and observed via Hawking
radiation at the LHC. Unlike proton or electron colliders, muon colliders can
produce black hole systems of known mass. This opens the possibilities of
measuring quantum remnants, gravitons as missing energy, and scanning
production turn on. Proton colliders are hampered by parton distributions and
CLIC by beamstrahlung. The ILC lacks the energy reach.
