But if something is drawn at random (such as an integer), wouldn't it be possible (ulthough highly unlikely) that nothing is repeated? If not, then I don't see why it is not possible for everything to be drawn at least one time. However, I didn't understand the "mathspeak," which I imagine I would have to understand to get the full gist of what you're saying...Originally posted by nihilistic
What I'm saying is:
1. There may not be every possibility however wide space is. One example of it is the space that contains nothing. Another is the space that contains what we can observe and nothing else (which is by far nowhere near "every possibility").
2. The proof that something must be repeated an infinite number of times is quite trivial in topology, but presenting it in plain english is well ... difficult. Let me give it with a translation:
[MATHSPEAK]
The union of a finite number of totally-bounded (think of it as being able to be contained within a block of finite lengh, width, etc.) subspaces (areas) is still totally bounded and thus cannot cover the totality of our universe, which was assumed to be unbounded. Suppose there are N states in which a particular totally-bounded subspace S can be in, then within k*N+1 dictinct subsets of our universe thyat congruent to S in area, there must be one state that is repeated k+1 times. Since we can choose k to be arbitrarily large, there is an arbitrarily large (or infinite) number of repititions of some configuration of subspaces congruent in area to S.
[/MATHSPEAK]
In short, if you have to choose a integer from 1 to n (where n is a integer, therefore obviously finite) a infinite number of times, you will inevitably end up choosing some integer an infinite number of times.
Unless it is possible to travel faster than the speed of light (and it's not, is it?), no one could enter another universe because our own universe is expanding at the speed of light.Originally posted by erez87
I very belive in parel universes in all levels' even the level 4.
BUT I belive that we couldn't move trough universes for a long long time, more 1000000000 years should pass befor...
I thought most physicists think that there were once nine dimensions, and something caused our universe to have three dimensions. (I can't remember what, though.)Originally posted by EdwardTking
There are a number of other theories for universes.
Our 3 dimensional universe is created by the collision
of two four dimensional universes; and when they
untangle - yes - we dissappear.
Originally posted by WillJ
But if something is drawn at random (such as an integer), wouldn't it be possible (ulthough highly unlikely) that nothing is repeated? If not, then I don't see why it is not possible for everything to be drawn at least one time. However, I didn't understand the "mathspeak," which I imagine I would have to understand to get the full gist of what you're saying...
Originally posted by smalltalk
nihilistic, otherwise, the number of states is so immense, that all permutations would not have been reached before the protons decay. (If something like that really occurs.)
I guess, Multiverse type 1 would only work with the union of an infinite number of universes.Originally posted by nihilistic
The union of a finite number of totally-bounded ... subspaces is still totally bounded
Originally posted by gael
Does Quantum Mechanics have any practical use or goal, or is it just impressive sounding garble that intellectuals like to pass the time arguing about?
Originally posted by smalltalk
Applications of quantum physics:
How about lasers, computers (i.e. transitors), electron microscope, nuclear magnetic resonance (medicin), superconductivity ...