kodama said:
so string theory multiverse is fake physics in the sense it makes a prediction that has been falsified by the LHC
"Fake physics" is not physics that makes a wrong prediction, it's physics that makes no prediction at all, and is therefore not science. Woit doesn't say string theory has been falsified, he says it has "failed" because it predicts everything and nothing - everything because it has googols of possible vacua, nothing because you can't get numerical predictions from any of them. That would be his critique of conventional string phenomenology, anyway - the part of string theory that tries to guess the exact recipe of branes and dimensions that will give us the real world. The anthropic stuff (he would say) is even worse, since it doesn't even try to do that, it's mostly about producing dubious anthropic justifications for things already known.
But one goes too far by denying the status of science to string phenomenology and string multiverse reasoning. There are string phenomenology models and string multiverse hypotheses that do make predictions. It's just that those models and hypotheses are not as deductively clean as one would wish.
I can illustrate what I mean with another theory that you like, asymptotic safety of quantum gravity. Asymptotic safety is not a theory in the way that general relativity or supergravity is a theory. You can write an equation for them. Asymptotic safety is a
property of a theory - it says that the theory has an interacting fixed point in the ultraviolet. The way it's supposed to work, you would write down the equation for quantized general relativity, and then you would simply deduce whether or not it has that infrared fixed point.
The problem is that no-one is able to do that. It's taken something like twenty years of work, just to show that the truncation of quantized general relativity to the first few terms of an infinite series expansion, has the property of asymptotic safety. What Shaposhnikov and Wetterich did, was to say, let's
assume that quantum gravity is asymptotically safe, and let's assume a few other things (no new physics between the electroweak scale and the quantum gravity scale, and some technical assumptions about the gravitational contributions to the running of the Higgs couplings). From that they did deduce the Higgs mass. But note, they assumed asymptotic safety, they didn't prove that it's actually a property of quantized general relativity. And in fact they left it open as to whether some other theory of gravity, like conformal gravity or unimodular gravity, should be used instead.
Similarly, extra assumptions which ideally it would not be necessary to
assume, are a commonplace in stringy models or hypotheses that actually makes testable predictions. The main exception to this might be when there is a qualitative prediction of something very exotic, like cosmic strings or particles with weird fractional charges - where you don't need to calculate much, and it's just obvious that the model contains such objects. But no such objects have been seen in the real world. So string phenomenologists are left with the task of picking a class of models that looks roughly like reality, and then working hard to identify the most promising members of that class, and to increase their quantitative understanding of how these models work.
It would be simpler if some string cosmologist could write a wavefunction for the universe, get a unique ground state, and then calculate the predicted particle spectrum. But it's not that simple. There's an enormous landscape of possible string vacua, there's no agreement about cosmology, and calculations range from difficult to impossible. So everyone just works on what they can and on what they think is promising.