Is There Paradox with Infinite Space?
Abstract
We argue that an infinite universe should not necessarily be avoided on philosophical grounds. Paradoxes of repeating behaviour in the infinite, or eternal inflationary, universe can be alleviated by a realistic definition of differing lives: not simply permutations of various quantum states. The superexponential growth in the rules of a cellular automata is used as an example of surpassing the holography bound. We also critically question the notion that our universe could simply be a simulation in somebody else's computer.
 Publication:

General Relativity and Gravitation
 Pub Date:
 September 2004
 DOI:
 10.1023/B:GERG.0000038474.55903.3f
 arXiv:
 arXiv:grqc/0311022
 Bibcode:
 2004GReGr..36.2095C
 Keywords:

 cosmology;
 inflation;
 cellular automata;
 General Relativity and Quantum Cosmology;
 Astrophysics
 EPrint:
 16 pages, some further improvements