What do you mean? The trick is that it's nowhere analytic, the usual bump functions are usually only non-analytic at the points where the derivatives vanish
Well, it's true that no bump function is analytic , but "nowhere analytic" means that the Taylor series never converges to the right value no matter at what point you take it, no matter how close you are
@ACuriousMind any extended interest in this key/ pivotal subj? have some ideas lately & want to build on them (with others/ experts). hey lets start a new chat room with @slereah on that. =D
@Slereah you can sustain a chat room just based on your knowledge of cartoons :P ... seriously, am thinking of a low-traffic/ longrunning room/ dialogue. it only takes 1 msg/ line every 14 days to sustain the room.
why are you interested in quantum connections to solitons? have seen you mention something like it a few times, not sure what you are looking for exactly, but it sounds very close to something have been looking into myself for many yrs...
@vzn I'm not even sure what "this key/pivotal subject" is. Instantons and other topological features have been researched for decades, there is a large body of technical literature on them.
@ACuriousMind you & slereah seem to be talking about how to connect quantization with solitons. seems to be a very deep subj worthy of further exploration in detail, have been thinking about something like/ looking into it for yrs
@ACuriousMind think there is something new/ big to be found in area & unification possibilities etc
@Danu part of research is trying to find common ground/ language for disparate but nevertheless underlying-connected phenomena & it can certainly be a (huge) struggle
@vzn "Connect quantization with solitions" is rather vague. Again, the importance of solitons/instantons/topological configurations in both classical and quantum field theory has been explored for decades in the technical literature and is a subject of ongoing study.
@Danu it has a fairly strict mathematical form wrt differential eqns. what is particularly interesting to me is that its not really highly dependent on # of dimensions.
That you continually imply this is something "new" or "unexplored" just tells me that you don't actually have any concrete idea what you are talking about.
@vzn See, this vagueness lures exactly nobody into a "long-term" debate - if you want me to bite and spend further time discussing the subject with you, then give me something to chew on.
@vzn Yes. The point is as crazy as Slereah's talk may sometimes seem, he usually has some definite concrete model or goal he wants to achieve. That's sometimes interesting enough to actually discuss it - and the rest of the time just nobody picks up on it. You don't even give that - there's no concrete model, no proposal, not the slightest indication that you know what a "soliton" or "quantization" actually is.
← shoulda known/ figured this would be a huge uphill battle if the resident room troll addict repeatedly suspended doesnt even want to create his own chat room :P
@ACuriousMind maybe you like "debate" but did not once use that word for the "endeavor"...
@ACuriousMind lets discuss slereahs model if thats sufficient for you. or even something you propose! am not asking almost any commitment. just an experiment... without a lot of preconditions
@vzn Just an experiment in what? What does this experiment actually consist of? Why are you so adverse to give a precise statement about what you want to do?
@GavinN. More seriously, it's a chat for users of physics.SE. You can ask questions about the site here, you can ask physics questions (but there's no guarantee someone will answer), or you can just talk about whatever you like.
@ACuriousMind A progressive is the opposite of a conservative. The Green Party is progressive for example as opposed to CDU and AfD being conservatives
I generally categorize AfD as insane, but that's another story
@ACuriousMind Well I'm not saying that "All of politics orbits around the progressive vs conservative dichotomy" It's more like, of the many dimensions that encompass politics, one is that dichotomy, so I wouldn't say it's a reduction, it's more of a zoom on the frame
@3075 Um, because I think Gavin was asking what Slereah meant by writing 1+2 dimensions and so I made a rather lame joke by answering the literal question? :P
