15.1 ADM formalism

^[1]. It is also called nonperturbative renormalizability. For criticism see ^[2].

\setlength{\epigraphwidth}{.88\textwidth} \epigraph{Well, I think it’s yielding very useful insights. And um, I think it’s… it’s been disappointing because the idea of string theory as a theory of fundamental forces has been around now for quite a while, uh, a number of decades, and it has not led to the kind of specific prediction. Well, it makes some qualitative predictions, like it explains why gravity has to exist, but it has not led to the kind of specific numerical predictions, which will say, well, okay, now you can take it to the bank. Um, But it’s the only game in town. Um, there are alternatives for pictures of what happens at very short distances. There’s one due to me called “asymptotic safety” which I… I think is a possibility worth taking seriously, but is much less attractive than the string theory and um, I hope string theory is right, but and I don’t see anything else on the horizon that’s remotely as attractive. Andy, do you agree with that?}{Steven Weinberg [\href{https://www.youtube.com/watch?v=PFJ46G8BflQ&t=3108s}{URL}]}

\setlength{\epigraphwidth}{.88\textwidth} \epigraph{But even so, I find string theory very attractive and if I had to bet my life I would bet on string theory rather than on asymptotic safety.}{Steven Weinberg ^[3]}

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