Is the Multiverse Hypothesis capable of explaining the Fine Tuning of
  Nature Laws and Constants? The Case of Cellular Automata
  The objective of this paper is analyzing to which extent the multiverse
hypothesis provides a real explanation of the peculiarities of the laws and
constants in our universe. First we argue in favor of the thesis that all
multiverses except Tegmark's <<mathematical multiverse>> are too small to
explain the fine tuning, so that they merely shift the problem up one level.
But the <<mathematical multiverse>> is surely too large. To prove this
assessment, we have performed a number of experiments with cellular automata of
complex behavior, which can be considered as universes in the mathematical
multiverse. The analogy between what happens in some automata (in particular
Conway's <<Game of Life>>) and the real world is very strong. But if the
results of our experiments can be extrapolated to our universe, we should
expect to inhabit -- in the context of the multiverse -- a world in which at
least some of the laws and constants of nature should show a certain time
dependence. Actually, the probability of our existence in a world such as ours
would be mathematically equal to zero. In consequence, the results presented in
this paper can be considered as an inkling that the hypothesis of the
multiverse, whatever its type, does not offer an adequate explanation for the
peculiarities of the physical laws in our world. A slightly reduced version of
this paper has been published in the Journal for General Philosophy of Science,
Springer, March 2013, DOI: 10.1007/s10838-013-9215-7.
