%0 Journal Article
%T Time¡¯s Arrow in a Finite Universe
%A Martin Tamm
%J International Journal of Astronomy and Astrophysics
%P 70-78
%@ 2161-4725
%D 2015
%I Scientific Research Publishing
%R 10.4236/ijaa.2015.52010
%X In this
paper, a simple model for a closed multiverse as a finite probability space is
analyzed. For each moment of time on a discrete time-scale, only a finite
number of states are possible and hence each possible universe can be viewed as
a path in a huge but finite graph. By considering very general statistical
assumptions, essentially originating from Boltzmann, we make the set of all such
paths (the multiverse) into a probability space, and argue that under certain
assumptions, the probability for a monotonic behavior of the entropy is
enormously much larger then for a behavior with low entropy at both ends. The
methods used are just very simple combinatorial ones, but the conclusion
suggests that we may live in a multiverse which from a global point of view is
completely time-symmetric in the sense that universes with Time¡¯s Arrow
directed forwards and backwards are equally probable. However, for an observer
confined to just one universe, time will still be asymmetric.
%K Multiverse
%K Time¡¯s Arrow
%K Cosmology
%K Entropy
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=56081