The Cosmogram project aims at developing new algorithmic tools to explore the shape of the Universe at different scales, from the largest ones, where the "cosmic web" emerges, a set of "filaments" where billions of galaxy clusters are concentrated. At a galactic scale, stars flow like an incompressible fluid in a 6D phase space. In the center of galaxies, supermassive black holes deform space-time. And finally, at Planck scale, certain theories live in a 10 dimensional space.
Cosmogram is based on the theory of optimal transport, a mathematical tool with rich connections with statistics, machine learning, differential geometry, and - more importantly here - the principle of least action in physics. Cosmogram exploits some mathematical structures of optimal transport that translate particularly well into efficient computer programs.
This AeX is a "warming-up" phase for Cosmogram. The goal here is to develop the first "brick" of Cosmogram, a novel large-scale optimal transport algorithm, that will be able to process billions of galaxies.