  Neutrino radiation is expected to impose major design and siting constraints
on many-TeV muon colliders. Previous predictions for radiation doses at TeV
energy scales are briefly reviewed and then modified for extension to the
many-TeV energy regime. The energy-cubed dependence of lower energy colliders
is found to soften to an increase of slightly less than quadratic when averaged
over the plane of the collider ring and slightly less than linear for the
radiation hot spots downstream from straight sections in the collider ring.
Despite this, the numerical values are judged to be sufficiently high that any
many-TeV muon colliders will likely be constructed on large isolated sites
specifically chosen to minimize or eliminate human exposure to the neutrino
radiation. It is pointed out that such sites would be of an appropriate size
scale to also house future proton-proton and electron-positron colliders at the
high energy frontier, which naturally leads to conjecture on the possibilities
for a new world laboratory for high energy physics. Radiation dose predictions
are also presented for the speculative possibility of linear muon colliders.
These have greatly reduced radiation constraints relative to circular muon
colliders because radiation is only emitted in two pencil beams directed along
the axes of the opposing linacs.
