@Shostakovich phil,
Just watched the science channel program on "multiverse" theory.
Basically the current most popular theory is that of 11 dimensions (a form of supergravity) now M for membrane (magic, mystery, madness, majestic {physicists do have a sense of humor, sometimes}theory.
Our universe is the result of the collision of two of those undulating membranes which also accounts for the non uniform distribution of matter (two undulating membranes or waves collide creating interference patterns).
Mathematically the number of different M branes could be infinite and they take a variety of different shapes. They may have different physical laws and material compostion. One interesting feature of M theory (which supersedes and incorporates string theory) is that everything is connected to the membrane (the interconnectedness of all reality). A somewhat ancient religious mystical view.
Anyway it was kind of interesting although it makes our universe look even smaller, less significant and non unique. Those other dimensions are both small and close to the dimensions of which we are aware. It more a vision of multiverses instead of parallel universes. The other universes may be completely unlike our own although in a sea of infinite universes there would be some similar but not identical to our own.
In the end though there is no physical, mathematical or scientific answer as to whether the universe is random, accidental and without purpose or whether the universe is self organizing, self sustaining and striving for some ultimate purpose.
It is a matter of worldview, of choice, of faith perhaps. I choose purpose even if only for its pragmatic, ethichal and aesthetic value.