Royal randfyin wrote...
Just to add to EggManZ and hadnochoice replies, the amount of space seems to be infinite and ever spreading (according to some theories), while matter/energy is constant. According to this in our Universe somewhere at some point there will be the same die rolling but with a different result. That does not concern alternative Universes and/or additional dimensions. It will all happen in our Universe, unless cold death happens before (if you follow that theory).
We cannot travel between those many worlds or anyhow communicate with them, so to us, there is no difference, whether there are many worlds or not (like hadnochoice stated about the observers).
A bit on a string theory as well: it is difficult to create tools to test that theory, because strings are so small (see Planks length) so if it turns out that strings are "shorter" than Planks length we will never be able to directly measure them regardless of technology at hand or so theory goes.
I'm not sure, but I think you're confusing two separate, although very closely related, ideas. The idea of 'multi-dimensionality' and 'multi-universality'.
Most people consider extra dimensions to be like what Plato considered in his Theory of Forms. That in a separate dimension there is a version of you doing something slightly different in an infinite number of ways, but one of those was the 'real' you or the 'archetypical' you. That's actually what most people in my field of work would consider multi-universality, and very few really believe in it, other than for making interesting conversation.
Multi-dimensionality, or extra-dimensionality, as I prefer, is the idea that objects and virtual particles in our observable dimensions aren't limited to the ones we can outwardly observe.
Here's an example. If you know much about modern physics you probably know that electrons are impossible to track, i.e. to know where they are and what they're doing both at the same time, however we can calculate a probability of where they are at any given time. Said probability is known as it's wave function, and is infinite in scope, so an electron of the carbon atom at the end of your finger has a probability of being at the far side of the universe in the next moment, without actually travelling. Now, this is seemingly impossible, as we have the universal speed limit of 300,000,000 ms
-1, or the speed of light. However, even if you take one extra dimension, say one that only leptons(electrons) can travel in, you have the means to get from A to B without breaking down the laws of physics as we know them.
Usually this brings up the question "Well, how many dimensions
are there?". Most people that I've spoken to, and what I've gathered from my own research, dilly-dally between 7 and 11. This is purely because of the maths involved. When you reach 7 dimensions, the maths used to calculate it is not only very difficult, but also starts to create numbers large enough to contradict constants we use every day, light the speed of light and Planck's constant. However, these could easily just be things that are only constant in the four dimensions we observe and could easily be scalable with each dimension you add in. 11, however, starts to make small of pure constants, like pi and the fine-structure constant, so as far as we're aware, 11 is the absolute maximum.