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One sentence from Wikipedia: > "Resurgent functions" are divergent power series whose Borel transforms converge in a neighborhood of the origin and give rise,
by notorandit 4y ago
One sentence from Wikipedia:
> "Resurgent functions" are divergent power series whose Borel transforms converge in a neighborhood of the origin and give rise, by means of analytic continuation, to (usually) multi-valued functions, but these multi-valued functions have merely isolated singularities without singularities that form cuts with dimension one or greater.
Cool!
- parasense 4y agoYeah, sounds cool. Regardless, I think we can all agree super compact massively heavy objects do in fact exist. We have pictures of black holes, we can see infrared time-laps images spanning decades of stars whipping around an undefined point in space.... they certainly do exist. Does all that matter collapse to an asymptotic point beyond Planck space? Perhaps not, it could simply be really compact degenerate matter, inside the Schwarzschild radius, like a quark-gluon plasma, or whatever might go above such high energies. And whatever that stuff is, it could perhaps not collapse to single point, it just gets really hot, and really dense. Recently Eric Weinstein has been making the rounds on internet podcasts, for example Joe Rogan and the likes... getting what we might call academically belligerent about singularities, and all the "(re)normalisation" that gets explained away to balance equations. His characterisation of the situation is charismatic, and to some extent persuasive. But I dunno, he seems kinda weird.