Very excited to finally have this paper out! Elliott Gesteau, Matilde Marcolli, and I repurposed ideas from perturbative renormalization to study the Factorization Paradox, and found a symmetry group controlling topology change https://t.co/U1pIcdv0tJ
These two new papers https://t.co/uaKuhbCrhd and https://t.co/oRmRLbh5Ta paint an absolutely amazing picture: all the stringy T and S dualities between 10d supergravities are derived from the bottom-up using Swampland principles!
One of the strangest coincidences in physics is the fact that Newtonian fluid dynamics in three dimensions is exactly equivalent to a scalar field theory in FOUR dimensions, with a Lorentzian signature metric. I know of no intuitive reason for this to be true, but it is.
i asked ChatGPT to generate what a scientist would tweet and it wrote:
"by age 40 you should have realized life is meaningless and that the only knowledge that matters is mathematics"
@cutezu_ The actual computation of the anomalous decay rate of the neutral pion can only be done by using the Atiyah-Singer Index Theorem :D https://t.co/Q7MBKGRyZ9
Other exciting applications https://t.co/bNZVlHhugG
The typical proof of Van Kampen's theorem, computing the fundamental group of a union or pushout of spaces, involves a choice of basepoint and the group theoretic construction of the amalgamated free product. With groupoids, it is merely a result - the structure of the product...
@FrankDr67680583 Y sí, la tesis que menciona es mi tesis de máster.
Me intriga que la encontrara, jamás publiqué su contenido, ni recuerdo haberla compartido con nadie o haberla archivado en ningún repositorio ...