Mgoblue201, sorry about that.
The_Technomancer said:
BigSicily, is that what meant by symmetry in physics? The reason why a random gas cloud is more symmetric then a perfect square, because in any random configuration the gas cloud is more likely to have a higher number of particles in the same location? At least I think? I've never really truly understood it...
Hmm... symmetry is based around the concept of invariance. But, it can often be used in very obscure ways that aren't obvious.
So, like, you hit on the reason a gas cloud is spatially symmetric: you can reduce down to the statistical mechanics of simple diffusion and so the probability of finding each molecule diffusing on away after
t time yields the symmetrical shape you see.*
Some Laws like Newton's 2nd are time symmetrical, so you can sign inverse and it still works.
Other times you'll hear about "supersymmetry" (usually around string theory) and maps one type of particle called a boson with a specific spin (integer) to fermions with half-integer spin. So, again, they are thought you be related by an underlining invariance, but not necessarily what you'd think instinctively.
I don't know if that's an answer, but maybe others can help?
*So, think of it as just in one dimension and that each particle moves
v velocity to the right or left at each moment
t time. The distance is +/-(
vt). When you compute it out, we can do it if you want, you find that the particle go nowhere on average (since for every right movement, there is one to the left on average). Yet, although the
average is zero, in an ensemble there are enough outliers that they do spread: some will take two right moves and a left, maybe all three right.... The RMS
displacement scales with the sqrt(
t).
EDIT: Spelling is bad, really bad