isn't this usually the situation in which (and the same kind of argument by which) one derives a selection rule?

there's the spin-selection rule and the bargmann rule, both because a sequence of group actions wouldn't act as identity otherwise

in the second example its clear you haven't rotated the whole state. one could imagine how this might cause its parts to be related differently.

the first example is very interesting..

imagine how good it feels to be anything other than me

but he felt he needed determinism to ensure locality, for reasons explained here

some get hung up on the -1 factor introduced for non-integer spin systems but that is a "mystery" only if you have lied to them (the state space is really P(C^d)

the rotation group acts faithfully on C^d. classically, the "number of distinct alternatives" would be the cardinality of a state space, while quantum mechanically it is the dimension.

(the rotation group acts faithfully on *probabilities* over the outcome space, not on the outcome space)

a possibly hot take is that there is nothing strange about spin over and above what is already strange about quantum measurement semantics

the mystery is how a rotationally invariant setup (like the S-G experiment) can have only finitely many outcomes.

fuck yea

spitdizzy

not depressed, just without heart or soul

guy asked me tonight what i am trying to do with my art and i said "render an image"

music is a waste of our precious time on this earth 😇

i don't think I've been to five shows, thank god

also, do non-fundamental particles have a mass under this definition? (if they "belong to" EFTs at lesser energy)

it is a very good album!

This would depend on the interaction, right? regardless of the scale issue, I would be unable to think of fields as just having a mass prior to coupling them somehow?

that is how you pronounce oscullates, right?

a (fourth year!!) student turned in homework every week that was completely illegible. after being very generous for too long, I assigned zero. got an email beseeching me to reconsider. I replied "no." verbatim and it felt awesome

anyway has anyone else noticed that there are fewer and fewer women or minorities at each new level of higher ed??

right