Well since we are talking parallel universes, let us go over the four main types postulated to exist based on current understanding of cosmology and
quantum mechanics:
Level One Universe
These exist in our own space-time and are simply an extension of our own infinite universe.This is based on the "Inflationary Theory",which states
the Universe is constantly expanding on an infinite scale. Mathematical odds dictate that since the Universe is infinite in size then there MUST be
infinite versions or copies of everything from particles,to planets,to stars. So yes that means infinite versions of Earth, you, and me. Obviously in
each version our lives will be slightly or drastically different(if we live at all).The only thing separating us from 'them' is great
distances,distances so far light from the closest one hasn't reached us yet, and won't for an insane amount of time(over the age of the Universe
today at the least).
For the Universe to be infinite it has to be flat and recent test show it is,although it could be curved just so ever slightly our test can not
determine the curve(I think the Universe is curved and spherical).An example of just how far the closest "spatial parallel Earth may be is at least
Googleplex yards away,that is 1 with 200 zeros!*
Level Two Universe
In a level two universe our universe is simply one of a "Multi-verse", one of many "soap bubble shaped universes of infinite size". These float
around in a exo-universal medium referred to by physicist as "Hyperspace"(cool I know) or "The Bulk".Within this Hyperspace bubbles(universes)
interact,are created,destroyed, and spawn others out of themselves.Now here is the tricky part-
within these level two universes there is an
infinite number of level one universes!
These bubbles form in Hyperspace in the form of "budding of like a fractal tree of spatial expansion of hyperspace and other universes(level two).The
term physicist give to this creation process is "Bubble Nucleation". Renowned theoretical physicist Michio Kaku is the headliner for this theory,
along with other well respected scientist. I also believe this theory to be correct.
Level Three Universe
Formed from the strange world and equations of "M Theory" this one does not disappoint. Based on "M-Theory,which is an evolved "String Theory"
"M" means membrane and states the Universe exists in 11(count um') dimensions and is "tethered to a "super membrane" of energetic matter by 6 or
7 extra,microscopic dimensions(curled up with in one dimensional strings{I know}). Our universe as well as others can be attached to a membrane or a
membrane can occupy the whole of a universe.These membranes and universes float around in Hyperspace as well in M-Theory.
Universes are formed by colliding membranes,which can be as close as a few millimeters apart.That is formation of universes,not parallel universes.In
this theory parallel universes are formed by Quantum Probability,meaning that for every possible outcome of a situation a alternate universe is
formed(you can see how this would become near infinite).These exist in our same space,but in different dimensions of existence.
Level Four Universe
Perhaps the strangest of all these are created by quantum flux or "brains clashing",so really they could be either parallel or original.The crazy
part is that they could have a totally different set of mathematics and physics,in fact in some life may take forms inconceivable to us.Some universes
may only support gas,no solid,or liquid. Or one of these could have totally different states of matter.Keep in mind "quantum flux" and "quantum
probability" are one in the same they just refer to the many possible fluctuations or states particles can take. Quantum probability is just the
mathematical interpretation of quantum flux.
Here is part one of the
youtube video of the show
The Universe. It explains what I said but with animations and interviews.
Helpful Links:
On Parallel Universes
M-Theory
Multiverse Theory
Quantum Mechanics
I prefer the physics behind the level two universe myself, it is really between that geometry and the flat geometry. Of course more research is
needed, but this is a VERY interesting and mind boggling concept none-the-less.