  It is shown that if physical space time were truly compact there would only
be of the order of one solutions to the classical field equations with a
weighting to be explained. But that would not allow any peculiar choice of
initial conditions that could support a non-trivial second law of
thermodynamics. We present a no-go theorem: Irreversible processes would be
extremely unlikely to occur, for the almost unique solution for the
intrinsically compact space time world, although irreversible processes are
well known to occur in general.What we here assume -- compact space time --
excludes that universe could exist eternally.
