Brutkey

Popstar Tourist
@octonion@tech.lgbt

@KaitlynEthylia@void.lgbt @darkwiiplayer@tech.lgbt Another way of looking at it is that in classical mechanics the dynamics of the system are entirely determined by something called the Hamiltonian. In quantum mechanics the Hamiltonian becomes an operator and the eigenvalues of the operator are energy.

(It's time-translation symmetry of the Hamiltonian that gives rise to conservation of energy. The Hamiltonian of the universe does
not have this symmetry, because the Universe is expanding, but locally or for closed systems it's a very, very good approximation.)

Kaitlyn~Ethylia
@KaitlynEthylia@void.lgbt

@octonion@tech.lgbt @darkwiiplayer@tech.lgbt These are a lot of words that it will take a lot of googling to figure out but thank you


Popstar Tourist
@octonion@tech.lgbt

@KaitlynEthylia@void.lgbt @darkwiiplayer@tech.lgbt Sorry if that was overwhelming, autistic girl with a Ph.D in the stuff given the chance to infodump :)

I'm happy to clarify anything.

Kaitlyn~Ethylia
@KaitlynEthylia@void.lgbt

@octonion@tech.lgbt @darkwiiplayer@tech.lgbt I'm about to go out but I will probably have many follow-up questions once I've had the chance to go through and read it thoroughly, as well as probably the wikipedia articles for "the Hamiltonian", "eigenvalues", and also try and figure out what was meant by "dot product of this vector with itself in the appropriate metric"