In the cosmological concordance model, with level I parallel universes, a generic prediction of cosmological inflation shows an infinite ergodic universe, which contains Hubble volumes realizing all initial conditions - including an identical copy of you about 10^10^29 meters away.
Interestingly, it seems to some people, that the constants of the universe are fine tuned for the conditions needed for life, called the Anthropic Principal. Also called a level II universe. Here we see what would happen if you started changing these constants:
The effect of changing the dimensionalities of space and time: http://space.mit.edu/home/tegmark/dimensions.html
The effect of changing the CMB fluctuation amplitude Q~10-5: http://space.mit.edu/home/tegmark/Q.html
The effect of changing neutrino masses: http://space.mit.edu/home/tegmark/anthroneutrino.html
The effect on changing the dark matter density, dark energy density and CMB fluctuation amplitude: http://arxiv.org/abs/astro-ph/0511774
The effect of changing the masses of elementary particles: http://arxiv.org/abs/0903.1024
A level III type multiverse is when our universe keeps branching into parallel universes whenever a quantum event appears to have a random outcome, all outcomes in fact occur, one in each branch.
I don't know what type of Universe or Multiverse Space Engine uses, perhaps we will need Quantum Laptops in order to achieve some of the higher level types. Until then, it will probably remain a cube 92 billion light years across in each direction.
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