Now that my experience at Wolfram is coming to an end, I think the time has come to transform those wrinkled leaves into some incredible, colorful pictures using the Wolfram Language. I spent a year or so working on the amplituhedron, and had a lot of fun creating a series of sketched drawings while trying to get some intuition about this funny object. During my time here, I’ve started discovering all the features that the Wolfram Language offers to deal with many different geometries and represent them graphically. The purposes of the project are to investigate the geometric structure hidden in the laws of particle dynamics and spread the word about all the amazing new discoveries in the field, like the amplituhedron.Īs part of my SAGEX training, I’m spending three months as a visiting scholar at Wolfram Research in Champaign, Illinois. We are a group of 15 early-stage researchers and as many supervisors distributed among 8 different academic institutions around Europe. After earning my degree, I was lucky enough to get into a wonderful PhD program ( ITN) called SAGEX, which is funded by the European Union. I was born in Venice, Italy, and I did my bachelor’s and master’s degrees in physics in the city of Trieste. I’m a PhD student in theoretical physics at Durham University, United Kingdom. In this blog post, I will first discuss its relation to particle physics, and then how to visualize its geometry using the Wolfram Language. It represents a novelty not only in physics but also in mathematics, generalizing the concept of a convex polygon. This is particularly true in the field of particle physics, where a new geometrical object has been found to be connected to particle dynamics: the amplituhedron. However, over the last few years, polygons have come to the front line in many areas of theoretical physics, helping us understand the laws of nature with their astonishing beauty. This may seem unexpected given the fundamental role they play in mathematics. It may be better to use smallmatrix in such situations, although you will need to provide your own delimiters.It’s rare to hear polygons mentioned in a physics class, even in higher education. When typesetting inline math, the usual matrix environments above may look too big. Once you have loaded \usepackage\right\rangle\) The amsmath package provides commands to typeset matrices with different delimiters.
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