Who says string theory doesn't make predictions? It makes *lots* of them.
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Who says string theory doesn't make predictions? It makes *lots* of them.
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Unfortunately making non unique predictions is perhaps more of a hurdle then making unique wrong ones
Yes, string theory is drowning in models, which people are now cranking out at an industrial scale. I don't remember anything quite like this before in the history of physics. It seems like something out of a story by Stanislaw Lem.
Exercise: Compute in plain QFT the number of consistent models with exactly the same field content as the standard model. Do you get a finite number? If not, do you get at least a finite-*dimensional* space of choices? If not, reflect on what's going on.
Urs wrote: "Compute in plain QFT the number of consistent models with exactly the same field content as the standard model." In the old days physicists chose one theory, made predictions, and considered it a success if they were right. They did not choose all possible theories.
By one theory, do you mean a continuum space of theories plus an organizing principle that goes by the name of renormalization group, without which successful predictions would be accidental?
If you want to call QED a continuum of theories, be my guest. It's true that I don't know every digit of the fine structure constant or the electron mass (as measured at some low energy scale in the usual way). I still call it one theory.
QED is one point (or a small dimensional subspace) of that humongously infinite dimensional landscape of quantum field theories. Once you pick that point, predictions follow. But in QFT you need to pick that point by hand, by fitting to experiment. It does not follow from theory.
Right. Or a mixture of experiment and inspired guessing: that's how people came up with the Standard Model, in a series of steps, repeatedly predicting the existence of particles that were later seen. The good old days.
In addition to @johncarlosbaez’s point, I would like to make a philosophical note.
It appears as if your cynicism could only be satiated by theoretical predictions of nature’s laws, independent of Nature’s data. This is impossible (cf. Hume’s Problem of Induction).
The key point is “the same field content as the Standard Model”. SM is your experimental input. The question is whether (or not) we can come up with an organizing principle that allows a unique “flow” from SM to a unique string model, or equivalence class thereof.
The way I see it, string theory is a “set” of consistent QG models & the goal is to build “structures” on that set (or “good” subsets) whose elements map 1-1 onto certain QFTs (low-energy field content), the SM being one of them—maybe even a special point in a special structure.
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