https://hackerpaper.kaipfister.de/p/2108.09314/Collected HN comments and submissions linking this paper.enMon, 02 Nov 2026 11:16:22 GMThttps://news.ycombinator.com/item?id=39960050urn:hackerpapers:mention:2108.09314:39960050Sun, 07 Apr 2024 11:21:37 GMT<p>I used to think of it like another basis too, but nowadays I think this basis analogy is a bit fraught, or at least not the whole story. In particular, for multidimensional spaces, the usual multidimensional Fourier transform only really works if you have a flat metric on that space (I.e. no curvature). That’s a bit of a warning signal given that our universe itself is curved. There was some very interesting work recently where it was shown how to generalize Fourier series to certain hyperbolic lattices [1], and one important outcome of that work is that the analog of the Fourier space is…</p><p><a href="https://hackerpaper.kaipfister.de/p/2108.09314/">Paper and discussion history</a>. A mention is not an endorsement.</p>cond-mat.mes-hall