[HN Gopher] Positive Geometries and Amplitudes [pdf]
       ___________________________________________________________________
        
       Positive Geometries and Amplitudes [pdf]
        
       Author : doener
       Score  : 42 points
       Date   : 2023-09-15 05:40 UTC (17 hours ago)
        
 (HTM) web link (dept.math.lsa.umich.edu)
 (TXT) w3m dump (dept.math.lsa.umich.edu)
        
       | qnleigh wrote:
       | Fascinating that this is getting so much traction on Hacker News,
       | given how technical and physics-specific it is. Guess there's a
       | lot of physicists on here (hi all!)
       | 
       | This PDF is a summary of a really interesting and surprising
       | research direction in modern theoretical physics. It came out of
       | trying to explain why certain extremely complex calculations gave
       | unexpectedly simple results. People like Nima Arkani-Hamed thinks
       | that it a sign of new/deeper principles underlying the current
       | laws of physics, though not everyone follows the logic quite this
       | far. See https://www.quantamagazine.org/physicists-discover-
       | geometry-...
        
         | gexaha wrote:
         | Has there been any progress in the last 10 years since the
         | discovery of amplituhedron?
        
           | qnleigh wrote:
           | I'm not the best person to answer this, but my understanding
           | is yes. The claim is that it's an almost ubiquitous
           | phenomenon; many theories, I think even including non-
           | supersymmetric theories, have something similar going on
           | where a geometric object can determine the results of certain
           | Feynman diagram calculations (maybe still only at tree
           | level). There was even an example I saw in a lecture where
           | some topics that would be taught in a first year quantum
           | field theory course fit into this framework.
           | 
           | Nima Arkani-Hamed has a bunch of lectures on YouTube that are
           | pretty entertaining, and while they can get quite technical,
           | he says a lot that can be appreciated without understanding
           | the details.
        
         | bloopernova wrote:
         | That article is pretty mind blowing!
         | 
         | "A sketch of the amplituhedron representing an 8-gluon particle
         | interaction. Using Feynman diagrams, the same calculation would
         | take roughly 500 pages of algebra."
         | 
         | That excerpt is pretty wild. 500 pages "compressed" into one
         | geometric shape.
        
       | [deleted]
        
       ___________________________________________________________________
       (page generated 2023-09-15 23:01 UTC)