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A New Geometry for Einstein's Theory of Relativity

(www.quantamagazine.org)
127 points jandrewrogers | 1 comments | 18 Jul 25 15:19 UTC | HN request time: 0.632s | source
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WCSTombs ◴[18 Jul 25 22:50 UTC] No.44610650[source]▶
As a one-time mathematician, this was a really fascinating article. The similarities seem to be entirely coincidental, but what would have been my doctoral dissertation was also about generalizing some concepts from smooth manifolds to a "non-smooth" setting, and the crux of my work also hinged on optimal transport.

Actually I feel optimal transport is a pretty underrated concept in both pure and applied math, and I would have loved to explore it had I continued in academia. But oh well, one must make choices in life...

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1. pkoird ◴[19 Jul 25 05:51 UTC] No.44612909[source]▶
I can't simply help but think that optimal transport is intricately linked to the principle of least action (and as we know POLA is everywhere in nature). At the end, natural interactions seem to be one big optimization problem.