@EmilioPisanty I mean to be fair, he isn't present-tense abusing the system right now, in that he hasn't posted a well-received answer in the last 3 years
@SirCumference He's present-tense using the rep+badge results obtained in trivial classical-mechanics questions as cover on his present-tense posting of misinformation.
I just lost 210 reputation, and two of my answers yesterday were removed. They had 7 upvotes and 8 upvotes each.
Could someone take a look at this? How can I get those answers re-posted?
Thanks. Here's my account: https://stackoverflow.com/users/3808877/steve
Here are the links to the deleted qu...
@Steve Your "friend", who is asking academic questions from different languages, for which you just happened to have lengthy, well-formatted (props on that, at least) answers stolen from other people preloaded in the chamber. Listen, this isn't tumblr, we're not stupid. Come on, you'll do fine in the long run. Don't try to rush to the finish line. Jon Skeet has that wrapped up. — WillJan 5 '15 at 19:30
Make a shop system, in which we can buy reputation packs for real money. There should be daily limit on how much of reputation we can buy a day. There could be also other features to buy. Here are my proposals:
Golden frame around questions and answers.
Bigger font of our comments or ability to...
I just posted this message with bold text on http://chat.stackoverflow.com/rooms/10/loungec . Immediately some one suspended me for half an hour.
Here is my message
MIRACLES HAPPENS WHEN YOU ACTUALLY HAVE A STRONG WILL
Why did I get suspended for that?
We've recently had John Rennie asking "canonical" questions which he's answered himself:
What is time, does it flow, and if so what defines its direction?
What is time dilation really?
What is the proper way to explain the twin paradox?
He says his answers are intended to be definitive and au...
Check out the speed and precision of young Japanese drummer, Senri Kawaguchi playing Ladies Talk. Yes, it's jazz fusion, but I don't think you need to be a jazz fan to appreciate her playing.
I think BRST might really just be the analogue of Gupta-Bleuler for non-abelian gauge theories at the end of the day and that's why you'd think of trying to find such a thing, though I don't see how going backwards from GB would lead you to such a crazy symmetry
"However, the Gupta–Bleuler approach cannot be generalized to Yang–Mills non-Abelian gauge fields. The BRST method of quantization is a modern formulation of the Gupta–Bleuler approach that is equally valid for the Yang–Mills fields."
@Slereah it all makes so much sense when you view it this way compared to the craziness regarding BRST brought up in here before (Feynman cancelling things at one loop etc)
The variables we hold constant aren't turning into 0, they're just not changing. You change one variable at a time, and see the rate of change of the function when you do that.
No wonder the BRST charge for a relativistic point particle ends up being the KG equation applied to a state (i.e. the classical constraint $p^2 + m^2 = 0$ applied to a state)
For a two-variables function $f(x, y)$ think of what $f_x(a, b)$ (partial derivative of $f$ wrt variable $x$ at the point $(x, y) = (a, b)$) means in the graph of $z = f(x, y)$.
@bolbteppa Yes, the BRST charge is an "aggregation of constraints", that's why the physical states are in its cohomology (its kernel is the proto-states on which the constraints hold true, the image is the image of gauge transformations)
@NovaliumCompany The partial derivative at $(x, y) = (a, b)$ is $2a$. That's the rate of change of $x^2 + y^2$ if you moved $x$ slightly from $x = a$ and kept $y = b$ constant
Just because a "$y$ term" doesn't exist in the resulting thing doesn't mean it's going to vanish
I basically just need to figure out (or just see) how to work backwards from Maxwell to ending up with the BRST symmetry as natural now and then another BaRSTrier broken
I don't know the symplectic geometry enough. The moment map sounds like the function whose "$\mathfrak{g}$-valued Hamiltonian" is the representation $\rho : \mathfrak{g} \to T_{\text{id}} \text{Symp}(M)$ in the Poisson algebra.
That's what $d\mu_g = \omega(\rho(g), -)$ reads to me
"The heart of the Gupta-Bleuler formalism is the observation that two states which differ by a state of zero norm can be mapped into one another by a gauge transformation; hence, one can define the physical theory by factoring the Hilbert space of states into equivalence classes, defining all states that differ by a gauge transformation as the same state."
The reason I think it will always be regular is that reducing a gauge theory is "the wrong way around" - it is the reduced space that is truly physical, and the extended space is just in our descriptions. If the reduction is impossible or does not yield the physical phase space, then we did something wrong in our description.
But I don't know if symplectic reduction is of independent interest to mathematicians
Reminds me I always wanted to read through Abraham/Marsden but never got around to it
There's some work by Sjamaar which deals with the issue by describing $\mu^{-1}(0)/G$ as a stratified symplectic space.
I think these are as follows: $X$ admits a filtration $X_0 \subset X_1 \subset \cdots \subset X_n \subset X$ such that $S_n = X_n \setminus X_{n-1}$ are smooth manifolds, and there is a sheaf $\mathscr{C}$ of subalgebras of continuous functions on $X$ which makes $(X, \mathscr{C})$ a locally ringed space and each of the restrictions $(S_k, \mathscr{C}|_{S_k})$ are isomorphic as locally ringed spaces to a symplectic manifold with it's sheaf of Poisson algebras.
I don't know how interesting this setup is to physicists, though
I have heard that term mostly used in context to geometric setups, where usually a physicist calls a singularity to be something where the metric is blowing up
Are topological singularities, in the ambient space itself, interesting to you all?
String theory tries a lot to talk about manifolds with different topologies "smoothly" morphing into one another - the singularity at the point where the topology changes is definitely not purely metric
By that description I'd generally think you're describing a smooth cobordism between smooth manifolds, but maybe you want to talk about a cobordism "fibering" over $[0, 1]$ and the various time-slices (these may not be manifolds, but mostly are)
So eg, the pair of pants projecting to $[0, 1]$ and at the $t = 1/2$ mark there's a wedge of circles.
Not being native English speaking, I ask with such friendliness to all users to be able to edit my answers or questions or tags because, apparently, the translation (https://www.deepl.com/translator) is not always perfect and the question or answer is not always clear in English. I hope very much...
@ACuriousMind Thanks a lot for that, by the way. I might get into symplectic geometry very soon, so I'll ask various things so that you can explain it to me (in physics if you want).
if a body is glued to an accelerating frame of reference and then enters free fall, does it have an initial velocity by virtue of its having been moving in a uniformly accelerated way?
thank you, I agree about the ground, but why not the elevator? if the elevator's vertical coordinate w.r.t the ground is $y_e(t)$ and that of the body is $y_b(t)$, then the $y$ of the body w.r.t the elevator is $(y_b-y_e)(t)$ and since $y_b(t)$ includes an initial velocity, then surely the difference also will.