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Posted: Sun Feb 01, 2009 10:38 am
I'm just beggining to learn about String Theory. It's the theory that all basic particles are made out of one-dimensional, vibrating strings that vibrate at different frequencies to give the particles different properties.
This is where a string is.
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Posted: Sun Feb 01, 2009 10:46 am
Wow, I just found out something! Brian Greene, author of The Elegant Universe, along with Discover magazine, held a contest for a person to describe String Theory in 2 minutes.
Go to youtube at this address
]http://www.youtube.com/watch?v=fvBW_8Jw8Lo
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Posted: Sun Feb 01, 2009 10:51 am
I'm reading Brian Greene's The Elegant Universe. I only got through Part I, but it's still pretty cool! You can buy the book at probably any bookstore (since it's so popular) or you can watch the movie, maybe online or on TV, like Nova or NASA.
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Posted: Mon Mar 23, 2009 11:50 am
Brian Greene was one of the people who wandered the halls when we were attending the Society of Physics Students - this was back when I was a physics major at Columbia U. My thoughts on string theory are like this: 1. what is it that is vibrating? Clearly "string" is not the answer, so what is the substance of this vibration? 2. if the substance vibrating is 1 dimensional, in which of the three spatial dimensions does this substance intersect? By what method does this 1 dimensional object multiply by infinities to produce higher dimensional embodiments? 3. where in spacetime is the string vibrating, on a plank scale, or an infinitesimal scale? How does string theory resolve itself with Plank units of space and time? 4. what are the mechanics of motion causing the vibration, and if in 1 dimension, what measure are we using to attribute vibration - which by its very definition implies motion from one point to the next in a system of oscillation?
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Posted: Sun Apr 05, 2009 8:18 am
Well, a simple helix of one dimension can occupy three. As for the others, time is a given fourth when the thing is moving.
And I presume the oscillations are caused by the energy in the strings or vice versa. Well, It's got to make sense one way or another. I know there's a cause-and-effect confusion with general relativity, too. In basic physics, things vibrate due to their possession of energy.
I think the strings are on a smaller-than-Planck level. Because photons are supposed to be preeeety small. According to the theory, strings are the smallest things in the universe. (I don't know. I looked at some diagrams in the book, and it looks like the string-orbs are about the size of the fermions they manifest.)
As for the strings being on an infinitely small scale, I think that is somewhat true. A one-dimensional object is, theoretically, infinitely small in all the other dimensions. The energy it has puts it into value in other dimensions.
(Clarification, for convenience's sake: A point is zero-dimensional, and a line is one-dimensional. This helps to have our terms in a common point of view, to avoid confusion.)
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Posted: Sat May 16, 2009 5:45 pm
The strings themselves are not really "made" of anything in that they are supposed to be the fundamental blocks of existence. You can liken them to fields (in the quantum field theory sense of the word "field") only the field is general enough that it can support multiple types of particles. While the strings themselves are 1-dimensional, they vibrate in 9 spatial dimensions (10 if you're to believe in the current speculations about M-theory) mostly because of stability issues. Fortunately, we don't expect the strings themselves to give rise to the various dimensions, only to the particles that exist within the universe; the dimensions, and indeed the entire background on which physics takes place, is considered an external object in string theory. The string length is actually supposed to be one of the three fundamental parameters according to string theory, along with the speed of light and Planck's constant. The length of the string should be around the Planck scale, but definitely non-zero. The strings are able to operate below the Planck scale on the assumption that the Planck scale only is meaningful in terms of observation; you can't observe below the Planck scale, but space isn't actually discrete.
I've never really liked string theory. I'm a big fan of general relativity, and so the fact that string theory takes a completely different, and indeed completely incompatible, approach to gravitation bothers me a lot, even beyond the rather ad hoc nature of the theory, the dismissal of rather blatant convergence issues, and the 10^500 possibly nonequivalent vacuum solutions. The basic problem is that string theory has a specific, fixed, flat background of spacetime upon which it operates, and gravity arises due to particles that carry quanta of gravity such that objects that carry energy exchange gravitons and thus are attracted to each other. General relativity, in contrast, operates on a dynamic spacetime intimately connected to the things on it and thus is formulated in a way that isn't dependent on the background; in this case, gravity manifests as the warping of spacetime. Trying to combine the two leads to unrenormalizable divergences, in that it would take an infinite number of correction terms to prevent the most basic of interaction calculations from becoming all infinities. This happens because the warping of spacetime then changes the coordinates by which energy and action are measured, screwing up the second quantization process beyond repair. Quantum mechanics/QFT doesn't have this problem, but that's because it is only applied on the low-energy limit where gravity has basically no effect. If string theory is to be a full theory of quantum gravity, it's definitely going to have to be able to tackle the cases where gravity becomes nonperturbative. Supposedly M-theory won't have this problem, in that it is supposed to be background independent the way general relativity is. I'm not entirely sure how that is supposed to work, considering that the quantum Hamiltonian as currently expressed is very, very background dependent, at least in spatial/temporal coordinates. I guess if it takes a lot of the ideas from topological quantum field theory, wherein the exact coordinates don't even matter, M-theory might be able to become background independent.
I'm more interested in the relativity-inspired attempts at quantum gravity, like loop quantum gravity or twistor theory. They're naturally background-independent, although they require almost completely giving up our notions of what time and space are. Unfortunately, expressing the Hamiltonian formalism and the physical constraints has been less successful in these cases than with string theory.
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Posted: Wed May 20, 2009 3:48 pm
Umm... wow. I don't know what to say...
I knew String Theory was a bit extreme, but I wouldn't expect such huge controversy between that, Relativity and Quantum Mechanics.
Now, does M Theory, as opposed to String Theory alone, have the same implications about gravity that relativity does? Because that seems to be the main difference between the macroscopic physics theories. Does it not say that gravity is a dimension?
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Posted: Thu May 21, 2009 8:22 pm
In M-theory, the graviton formulation of quantum mechanics and the spacetime deformation formulation of general relativity are supposed to coincide somehow, in that gravitons become packets of spacetime deformation. Again, I'm really not sure how this is supposed to work.
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