kochanskij said:
First, to answer your question. The earth-centered universe is an idea proposed by Ptolemy that the planets revolve on small circles centered on other circles (epicycles) around earth. Later, it was proven that the paths of all planets and comets (any path at all) could be reconstructed from a large finite number of epicycles. This is similar to Fourier analysis recontructing any function from sin and cos waves. One reason science doesn't believe this theory anymore is that it is too complicated and has too many hypotheses. Newton's law of gravity and motion is much simpler.
String theory also adds too many ad-hoc hypothesis. Strings require 9 space dimensions but we see only 3, so scientists propose that 6 are curled up tiny. This may be true, but the theory doesn't require this curling up and there is no evidence for it. Now some people have proposed that all 9 dimensions are large but we are stuck to a 3-D membrane. So which is it? String theory doesn't say. Strings predict many new particles that haven't been found, so scientists propose that they must have huge masses. This may be true, but the theory doesn't require large masses and there is no experimental evidence for them. There seems to be too many "unsupported speculations" being made just to try to save the theory.
I agree with Haushofer in that string theory/M theory is a paradigm, or philosophy. It is not a specific fundamental theory. We can not prove or falsify a paradigm. Physicists must develop one definite specific string theory that can be tested by experiments/observations.
I also agree with Yenchin that observations of cosmic background radiation might test string theory. But, we still need some definite prediction from the theory to test it.
I know that many weird ideas in science have turned out to be true. But these have been confirmed by experiments/observations before scientists accepted them. String theorists seem to be saying "just believe all these weird things because we say so". That is not the method of science; that is the method of religion.
String theory is indeed a framework, but I think it's still subject to falsification. In principle at least, one could derive some sort of general result from the framework of ST which simply is inconsistent with our known universe, falsifying the whole thing. Much more likely, however, is that we rule out large swaths of string theories from observation.
Also, the fact that spacetime is 11 dimensional is not in the slightest a hypothesis, but rather a PREDICTION from the theory itself. This is rather startling, because I know of no other theory which actually predicts the dimensionality of spacetime (correctly or otherwise). It would certainly be fantastic if we could show that, in general, things compactify to a universe resembling ours, but this is of course a tall order. I think the analogy to QFT is really good here -- we can imagine tons of QFTs, like people are doing right now with compactifications of string theory, and simply hope to find ones that are either 1) interesting, 2) similar to our universe, or 3) falsifiable.
I'm really surprised that you don't like string theory and find it arbitrary, given that the Standard Model is perhaps one of the most ad-hoc theories I can think of. Sure, it has great predictive power, but we had to put a lot into it (masses and particle content!) to get this power out. String theory, on the other hand, requires one (dimensionful!) parameter: the string length. Now, it would certainly be nice if the theory could, from that, predict the dynamics of its dimensions to reveal 3 macroscopic dimensions like we see, and perhaps it can, but the jury's still out.
Main motivations for scientists believing so strongly in the validity of string theory despite its lack of experimental validation are obviously deeply theoretical. But such concerns led to Einstein developing GR, it's just that with that case, predictions were much easier to make and falsify. I think it's way too soon to get on either side of the bandwagon though, and I very much dislike it when popularizers of science like Greene make it sound as if we KNOW ST is correct. I don't think anyone is saying 'just believe this because we say so', so much as, 'look at all these amazing things within string theory, what are the odds that this theory is wrong and still contains all of this?'