  Considering coordinates as operators whose measured values are expectations
between generalized coherent states based on the group SO(N,1) leads to
coordinate noncommutativity together with full $N$ dimensional rotation
invariance. Through the introduction of a gauge potential this theory can
additionally be made invariant under $N$ dimensional translations. Fluctuations
in coordinate measurements are determined by two scales. For small distances
these fluctuations are fixed at the noncommutativity parameter while for larger
distances they are proportional to the distance itself divided by a {\em very}
large number. Limits on this number will lbe available from LIGO measurements.
