@ACuriousMind indeed, I was wondering about a basic identity, when we have time ordered exponentials, which is whether we have the following equality: $e_p^{\int_0^t iH_{t'}dt'}=e_n^{-\int_0^t iH_{t'}dt'}?$ subscripts "n" and "p" are used for negatively and positively ordered exponentials respectively. So in words, the equality is asking whether, a negatively ordered exp here is equal to a positively ordered one but with the argument (of the exp) times -1.
See I feel like over time Im slowly starting to agree. They're great for the first half or so but I cant remember the last time I've wanted to finish one
and I have great taste in pizza too
Extra cheese, Chicken, Anchovies, Olives and Pineapple
@ACuriousMind ahhhh great! is there a simple way of checking (or seeing) that? because initially I made the mistake of thinking $e_p^{\int_0^t iH_{t'}dt'}*e_n^{-\int_0^t iH_{t'}dt'}=1$ but now after your confirmation, we hve instead the corrected identity of: $e_p^{\int_0^t iH_{t'}dt'}*e_n^{\int_0^t iH_{t'}dt'}=1$
Anonymous
@0celo7 Oh. Same thing. Even if we show 1/(1+|a|) is bounded it should be enough. $|a|/(1+|a|)=(1+|a|)/(1+|a|)-1/(1+|a|)=1-1/(1+|a|)$
@user929304 The positively-ordered exponential evolves a state from 0 to t, the negatively-ordered one from t to 0, pretty much by definition. So they are inverses of each other.
@AlexanderPigazzini Hi Alexander. Generally speaking exotic matter violates one or more of the energy conditions. From a glance at your stress energy tensor it isn't obvious to me whether this is the case or not. You'd probably have to grind through the maths to check.
@ACuriousMind aha! I think I get it. Last sanity check, is the following chain of equalities correct then? $e_p^{\int_0^t iH_{t'}dt'}*e_n^{\int_0^t iH_{t'}dt'}=e_p^{\int_0^t iH_{t'}dt'}*e_p^{-\int_0^t iH_{t'}dt'}=1$?
So this video has been around for a while now https://youtu.be/mNHp8iyyIjo
Also this Fluid Mechanics explanation may be related.
I just wanted to know if there is any standard hydrodynamic terms to explain it. Derek clearly states it is not about Bernoulli principle, as in this case the ball rot...
We've noticed that some of our automatic tests fail when they run at 00:30 but work fine the rest of the day. They fail with the message "gimme gimme gimme" in stderr, which wasn't expected. Why are we getting this output?
I had one guy try telling me that general relativity is absolute bunk and that there are no ways of hypothetical direct detection of dark matter, despite WIMPs being the leading candidate. @0celo7 Im being real
Im in multiple facebook groups with these people because they're hilariously disconnected from the real world
Still my favourite Freudian slip of all time: "WIMPs - Weakly interesting matter particles", said in a talk in a seminar hosted by someone researching WIMPs.
@JohnRennie Yes, but also because I know several people who already work there and have only reported good things and because it's conveniently located
@0celo7 Oh, only the largest German software company.
@JohnRennie I think they made it already. They called me today and said I would be a good fit and should come back tomorrow to meet the rest of the team I would work with.
@0celo7 Well, it depends on which of the sub-teams I'll actually join. Might be anything from working on the compiler for their own language to database interfaces. I don't think I know any details yet I wouldn't be allowed to talk about, at least I didn't sign any NDAs :P
This time not by any mod, but the SE bot itself. (and Acuriousmind pretty much beat me to it on the details). I thought adding a content warning as adviced by another mod should be sufficient to not get me into trouble, but it appears not. Looks like I need to read the chat guidelines to see what websites are being blacklisted
I've validated a flag against that message. Please don't paste graphic descriptions like that here, there's no need for it. Point people to the page and provide a content warning.