Activity for Ivan Nepomnyashchikhâ€
| Type | On... | Excerpt | Status | Date |
|---|---|---|---|---|
| Edit | Post #292607 | Initial revision | — | 2 months ago |
| Question | — |
Why are there infinitely many modes of electromagnetic radiation? My question. I have started reading (on my own) B.Hall, "Quantum Theory for Mathematicians (Graduate Texts in Mathematics, 267)", Springer, 2013. In the introduction section, the author says that the black body cavity has infinitely many modes of electromagnetic radiation. I am wondering why... (more) |
— | 2 months ago |
| Comment | Post #292111 |
For those interested, a corrected version of this answer is given on Functor Network: https://functor.network/user/961/entry/449. (more) |
— | 2 months ago |
| Comment | Post #291979 |
For those interested, this discussion has been moved to Functor Network, because Functor Network provides a better infrastructure for this kind of discussions. Follow it there: https://functor.network/user/961/entry/449. (more) |
— | 2 months ago |
| Edit | Post #292111 | Initial revision | — | 4 months ago |
| Answer | — |
A: Is the Explicit Symmetry Breaking of Vorticity Physically Significant in Fixing a Scale? There is so much to unpack here. I am going to start this post and will keep adding to it as I get more thoughts. First, let me reiterate the most important thing - I do not understand the physics behind this derivation at all. I keep trying to come up with some explanation that would make any sen... (more) |
— | 4 months ago |
| Comment | Post #291979 |
Let's return to my original interest: what does all that beautiful math mean physically? Let's go step by step. You start, essentially, with Helmholtz decomposition. That's good because it is a common thing in fluid mechanics. Then you apply your covariant derivative condition claiming that it "coupl... (more) |
— | 4 months ago |
| Comment | Post #291979 |
Another little remark from me. Lagrangian or Hamiltonian formulations of mechanics are not common in fluid mechanics to say the least. The latest breakthrough article claiming to show a way to transform the Navier-Stokes into the Hamiltonian framework is J.W.Sanders, A.C.DeVoria, N.J.Washuta, G.A.El... (more) |
— | 4 months ago |
| Comment | Post #291979 |
First, a brief feedback on your explicit question. We don't normally use words "symmetry breaking" or "scaling symmetries" in fluid mechanics. That's why your question about comparison to symmetry breaking in fluid mechanics is rather niche. But according to your derivation, we can reformulate your q... (more) |
— | 4 months ago |