  The Supper Proton-Proton Collider is a next-generation hadron collider that
is now being designed. A baseline design aims for a peak luminosity of about
1*10^35 cm^-2 s^-1. The focus of this article is the effect of beam-beam
interactions which are expected to strongly influence stability in the beams.
We start with a discussion of a scheme to generate the crossing angles at the
interaction points while also correcting the dispersion thus created. The
optics constraints on the achievable \b{eta}* were studied. Weak-strong
simulations were performed to study single particle dynamics via tune
footprints, frequency map analysis and dynamic aperture calculations. The
long-range interactions with the smallest separations are shown to determine
the dynamic aperture. Empirical scaling laws for the dependence of the dynamic
aperture on the transverse separations and on the number of long-range
interactions are found. A tune scan shows several alternative working points
with slightly better dynamic aperture than the baseline choice. Finally an
option to significantly increase the dynamic aperture by increasing the
crossing angle for different choices of \b{eta}* was studied.
