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 Originally Posted by wufwugy
How does it do this without making predictions?
This is sticky, I know. String theories do make predictions.
So far, string theory predictions all fall into one of these categories:
A) The prediction is new, has been observed and the prediction is false
B) The prediction is old, has been observed and the prediction is true
C) The prediction is new, but can not be observed.
The compelling category for serious attention from the physics community at large would be
D) The prediction is new, and can be observed, but has not yet been observed.
If a string theory (or any theory) makes a prediction that falls in the D category, then that will be something to get excited about.
 Originally Posted by wufwugy
So if I have you right, string theories are something like this: take all the math of the standard model, add more math, if it changes the standard model discard it, if it doesn't keep adding math. All the while making no falsifiable predictions.
I don't know. In practice it might seem like that to a casual observer. It might even actually be like that at times to the theorist.
It's not about adding math. It's about adding a new idea.
Math is a tool of symbolic logic. It is invaluable to physics because the inductive and deductive statements you can make are all readily symbolized. So once you learn how the symbols interact, you have a time saving tool that when you give it (mathematics) a statement, it gives you back equivalent statements. Those return statements may or may not be at all intuitive, but they are always as "true" as the input.
As such, math is a great tool for physicists to use. The ability to generate equivalent statements from any input is why it's so amazing.
So it's not about "adding math". Except in the sense that adding an idea, then using symbols to describe the idea, then using math to manipulate those symbols.... that clearly involves using math... but the math is just shorthand for sentences, and sentences are just expressed ideas.
 Originally Posted by wufwugy
I know I must be reading this wrong. I was struck by a comment in the reddit thread about how something posited by string theories and was supposedly proven (I think it was Higgs) was also posited by the standard model. This makes me wonder what string theories actually do.
The Higgs Boson has absolutely nothing to do with string theory.
String theories hypothesize a substructure to all existing particles. String theories attempt to explain things which are observed and unexplained by adding the idea of a sub-structure. Specifically, that the substructure is unfathomably tiny strings, whose vibrations look like particles and forces.
String theory could offer an explanation for the sub-structure of a Higgs boson, but the Higgs boson was predicted without using string theory.
If a string theory could explain the whole of the Standard Model without error, and without predicting things that are "false", then that would be a huge thing.
It would mean that we have 2 seemingly equivalent frameworks to use as accurate descriptions. Which means that there would be a higher likelihood that strings are a valid description for the sub-structure of everything.
 Originally Posted by wufwugy
Could it be that anything predictable would just be a part of the standard model?
That's the idea. If the preexisting theories are shown to be less robust than a new theory, then the old theory is out and the new theory is in.
If a string theory effectively unifies all known matter and forces and their interactions into one single theory, then there's a great chance that theory's name would stick around.
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