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Amplituhedron: newly discovered mathematical object 
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#1
Sep1813, 04:38 PM

P: 886

Is this anything to get excited about? I have no idea what it's about.
https://www.simonsfoundation.org/qua...antumphysics/ 


#3
Sep1813, 06:00 PM

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It must exist because it is so beautiful!



#4
Sep1813, 06:13 PM

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Amplituhedron: newly discovered mathematical object
I guess the next question is "where did this structure come from in the first place?"



#6
Sep1813, 07:21 PM

P: 7

You can watch Arkani Hamed give a talk at the SUSY 2013 conference about the Ampllituhedron and how their research led them to its discovery here. It's pretty involved as far as having an indepth understanding of particle physics and QFT, but it's engaging regardless.
It's a pretty fantastic discovery, that all of the information about scattering amplitudes can be encoded in one geometric object, with no reference to space or time, locality or unitarity (which come out as emergent properties of the geometry). Granted, keep in mind that this model is built on maximally supersymmetric YangMills Theory, and it will take a lot of work to generalize it to more complex QFTs (especially since we have found no evidence to support SUSY), but it looks pretty promising just in the beauty of the theory. 


#8
Sep1813, 08:28 PM

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Here are the slides from SUSY 2013
http://susy2013.ictp.it/video/05_Fri...Hamed_43.html 


#9
Sep1813, 09:19 PM

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P: 8,374

Why isn't he wearing socks?



#11
Sep1913, 12:18 AM

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#12
Sep1913, 06:27 AM

P: 1,666

I hate to be disagreeable but I feel I must add some sense of sensibility to this dog and pony show.
That picture does nothing for me. It's just some rainbow curvylooking thing that appears to be missing a piece. Is the actual object a higherdimensional object and if so then what is the picture representing and I bet a dollar the colors are really not part of the object but just added to make it look pretty. I request a better explanation of what exactly the geometric object is, and a better illustration of what exactly it looks like. Hold the pretty colors please. 


#13
Sep1913, 06:39 AM

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#14
Sep1913, 06:46 AM

P: 1,666

Also, while we're at it, I don't think it would be too hard to actually create a 3D model of that figure in Mathematica that we could rotate and if so, then we could say, "hey, anybody if you want more than a pretty flat picture of what's happening, PF's got it cus' we know what's happening." So I say we move this thread to the Math and Science software forum and ask someone to do that. No I don't want to do it because I do that stuff all the time and would like someone else to. Thank you. 


#16
Sep1913, 07:27 AM

P: 1,666

Oh guys don't you see, don't you see? Someone here has a marvelous opportunity to contribute to humanity. What I would like is for someone to create a Wolfram Demonstration Project that not only draws the amplituhedron accurately in 3D, (with colors if you want) but also gives the user the opportunity to adjust the dimensions of each face interactively (if that is an allowable transformation). And that person would, I suggest, be the first person in the world to write a very nice 3D demonstration on this wonderful, newly created mathematical object.
Just sayin' that's all. :) Haven't checked the demonstration project but I doubt seriously it's already in there. 


#18
Sep1913, 07:42 AM

P: 1,666

But that's ok, that's alright, no big deal if no one is interested. I got plenty other stuff to do. 


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