  What happens when two synchronized clocks on a rigid beam are both given the
exact same acceleration profile? Will they remain synchronized? What if we use
a rigid-rod Rindler acceleration profile? The special relativity prediction
surprises many people. This experimental setup is the special-relativity analog
of the gravitational redshift. Just like two clocks higher and lower in a
gravitational field lose synchronization, one sees a loss of synchronization in
these clocks with `identical' acceleration profiles. To the best of our
knowledge this equivalence principle analog has never been directly measured,
and current experimental techniques are sensitive enough to measure it. We
discuss the origin of the essential physics behind this synchronization loss,
and some special conditions which simplify its experimental observation. We
discuss the origin of the essential physics behind this synchronization loss,
and some special conditions which simplify its experimental observation. If
validated this effect will not only test the equivalence principle from a new
vantage, but it may one day aid in understanding and enhancing future
ultra-precise navigation systems.
