@DikshitGautam Let's talk here in the chat room instead of in the comments under your question. I'll tell you a little about how the site works and then we can perhaps address your issue.
@DikshitGautam I think that I should have the chat permissions set up correctly for you now. I'd be happy to talk about what's happening with your question, either from the site mechanics side or from the physics side.
If a surface is "topologically a cylinder," does that just mean that you can find some differentiable parameterization of that surface in $S^1 \times \mathbb{R}$?
Actually it looks like it may not need to be differentiable. Just continuous and invertible
@enumaris and @ACuriousMind - Thanks for your help yesterday. It got sorted.
@vzn Well, thanks. But over there in that conversation, I wasn't grappling with anything novel, just an interpretation of the good old version of the same itself. I was just trying to make sense of that.
@TheDarkSide right. researchers are trying to grapple with it also and formulating novel povs in response (forced to by the facts so to speak).
aha, found it. Khrennikov has some ideas about this. Born’s rule from measurements of classical signals by threshold detectors which are properly calibratedvzn1.wordpress.com/2015/01/26/…
I think these recent proofs are obviously nonsense. Let us hope that we all live long enough to come up with similar nonsense, and that we could remain even half as jolly presenting it to the mathematical community
I think the most charitable way to interpret a 'derivation' of the fine-structure constant would be to say: Suppose we ignore the role played by QCD and the weak force at high energy, and just focus on QED as a theory unto itself. is it possible that there's a version of QED (say, some UV-completion of it) such that what you'd get for $\alpha$ (in the limit of zero momentum) can be expressed analytically in some fashion?
However, that's a very charitable reading and I don't actually think it applies. The problem is that you'd still need to be recognizably talking about QFT
@Semiclassical surely the fine structure of hydrogen should not be purely mathematical in nature and things like the fundamental electric charge should play a role?
The only thing I can think of would be something geometry related......like normal modes or something...but then you'd have other boundary conditions instead
or "we've partnered with this company that is selling us their black hole retrieval tool. They won't warranty it for being lost during use, but I think we'll be alright"
Seems about right. Maybe we're the real AI. Give us some input and out comes something like what they wanted
Is there a term for clustering algorithms that let you have variable clusters? Like train it once and be able to go through the clusters at different levels. I don't think that's a great way of explaining it. I think level set trees are an example
My understanding is that they give you a tree of clusters and you can navigate that tree to "zoom in/out". I was looking to see what similar algorithms are out there, but I don't even know what to call them
