  The physical limits to computation have been under active scrutiny over the
past decade or two, as theoretical investigations of the possible impact of
quantum mechanical processes on computing have begun to make contact with
realizable experimental configurations. We demonstrate here that the observed
acceleration of the Universe can produce a universal limit on the total amount
of information that can be stored and processed in the future, putting an
ultimate limit on future technology for any civilization, including a
time-limit on Moore's Law. The limits we derive are stringent, and include the
possibilities that the computing performed is either distributed or local. A
careful consideration of the effect of horizons on information processing is
necessary for this analysis, which suggests that the total amount of
information that can be processed by any observer is significantly less than
the Hawking-Bekenstein entropy associated with the existence of an event
horizon in an accelerating universe.
