  New physics is being explored with the Large Hadron Collider at CERN and with
Intensity Frontier programs at Fermilab and KEK. The energy scale for new
physics is known to be in the multi-TeV range, signaling the need for a future
collider which well surpasses this energy scale. We explore a 10$^{\,34}$
cm$^{-2}$ s$^{-1}$ luminosity, 100 TeV $p\bar{p}$ collider with 7$\times$ the
energy of the LHC but only 2$\times$ as much NbTi superconductor, motivating
the choice of 4.5 T single bore dipoles. The cross section for many high mass
states is 10 times higher in $p\bar{p}$ than $pp$ collisions. Antiquarks for
production can come directly from an antiproton rather than indirectly from
gluon splitting. The higher cross sections reduce the synchrotron radiation in
superconducting magnets and the number of events per beam crossing, because
lower beam currents can produce the same rare event rates. Events are more
centrally produced, allowing a more compact detector with less space between
quadrupole triplets and a smaller $\beta^{*}$ for higher luminosity. A
Fermilab-like $\bar p$ source would disperse the beam into 12 momentum channels
to capture more antiprotons. Because stochastic cooling time scales as the
number of particles, 12 cooling ring sets would be used. Each set would include
phase rotation to lower momentum spreads, equalize all momentum channels, and
stochastically cool. One electron cooling ring would follow the stochastic
cooling rings. Finally antiprotons would be recycled during runs without
leaving the collider ring by joining them to new bunches with synchrotron
damping.
