Chalnoth
Senior Contributor
Ugh, no, please. That video is horrifyingly wrong. I mean, sure, the extrapolation up to 4 dimensions is okay. But beyond that it's just made-up silliness. They confuse lots of very different concepts in physics, and mash them together in an extremely inconsistent way.Here are some thoughts, not that i claim to understand it..
YouTube - Imagining the Tenth Dimension part 1 of 2
A dimension is just a way in which it is possible to move. Full stop. We can't really visualize more than three dimensions, but we can make use of various mental constructs to attempt to. Most frequently, we imagine our own three dimensions as existing on some sheet, with the next extra dimension being perpendicular to that sheet. The beginning of that video above does a pretty good explanation of that. Just, for the love of all that is good, stop paying it any attention after it finishes with time.
As for string theory, the basic argument is this: string theory makes a proposal for the behavior of fundamental objects. It proposes, specifically, that the fundamental objects are strings, and that they can wiggle in a variety of ways. Now, we want this to be a physical theory of physical objects, so one requirement of the theory is that whatever numbers we assign to the string, that choice of numbers cannot possible affect its real behavior. This is analogous to, for instance, the statement that it doesn't really matter whether I say my cousin's house is 50 miles away or an hour's drive away: the real distance is unchanged no matter what I call the distance.
Now, when you carefully write down a theory of strings and how they behave, you find that when you do make a change in the numbers used to describe the string, there's a little extra factor that sits around: there's a change in how the string actually behaves. Careful analysis shows that this factor only disappears if the string exists in a specific number of dimensions, and that number depends upon exactly what sorts of wiggles the string can undergo (this is what differentiates between Heterotic, and type IA, IB, IIA, IIB string theories: the types of wiggles allowed).
I haven't gotten into M-theory yet, which is an interesting topic in and of itself, but this already raises a distinct question: the various string theories predict either 10 or 26 dimensions in total (depending upon the theory). We only perceive four (3 space, 1 time). So how can they possibly be correct? Well, for a number of theorists, this alone is reason enough to ignore string theory. But for the theory's proponents, other attractive features of the theory make them want to soldier on and see if there is anything to it (the most spectacular of which is that string theory predicts quantum gravity).
The ways in which there might actually be more dimensions out there than we can detect are twofold:
1. It is possible that we are stuck on a 3+1 dimensional surface. The other dimensions are out there, but all of the particles that make up what we can observe are stuck on this surface (electrons, protons, neutrons, photons, and so on). Within string theory, this is a completely natural expectation. But there is a subtle complication: most of the particles we know of can be easily constrained to be unable to escape a surface like this (called a brane). Gravity cannot. Gravity always tends to escape, but this turns out to be a potential blessing in disguise for the theory: maybe this explains why gravity is so exceedingly weak (gravity is about 10^40 times weaker than electromagnetism). The escape of gravity from the brane also indicates that if it turns out that our universe is like this, then detailed tests of gravity might show us whether or not it's true, as if it is we should see gravity "leak" into this higher-dimensional space.
2. It is possible that the other dimensions are just incredibly small. Think of it this way: take a thin wire. Say a guitar string or a piano wire. Far away from the wire, it looks perfectly one-dimensional: the only way you can move along the wire is along its length. Movement around the circumference doesn't do anything of note.
But what if you were very, very small? So small that the circumference of the wire was huge compared to you? In that case, the circumference around the wire would mean an awful lot.
Thus these other dimensions might exist, but be exceedingly tiny. Detailed tests of physics at very short distances may potentially illuminate such dimensions (which also means tests of physics at high energies).
Note that not only is either of these possibilities possible, but a combination of the two is also possible.
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