Simetría IV / Symetry IV

Pablo Martinez-Calleja

Simetrías espontáneas / Spontane Symmetrien / Spontaneous symmetries

Pablo Martinez-Calleja

Galois Groups and the Symmetries of Polynomials | Quanta Magazinee

By focusing on relationships between solutions to polynomial equations, rather than the exact solutions themselves, Évariste Galois changed the course of modern mathematics.

Breaking Symmetries with Involutions

How Noether’s Theorem Revolutionized Physics | Quanta Magazine

Emmy Noether showed that fundamental physical laws are just a consequence of simple symmetries. A century later, her insights continue to shape physics.

Invariant Physics-Informed Neural Networks for Ordinary Differential Equations

Exploring the possibility of probing fundamental spacetime symmetries via gravitational wave memory

As predicted by the theory of general relativity, the passage of gravitational waves can leave a measurable change in the relative positions of objects. This physical phenomenon, known as gravitational wave memory, could potentially be leveraged to study both gravitational waves and spacetime.

Towards fully covariant machine learning

Any representation of data involves arbitrary investigator choices. Because those choices are external to the data-generating process, each choice leads to an exact symmetry, corresponding to the...

Probing fundamental symmetries of nature with the Higgs boson

Where did all the antimatter go? After the Big Bang, matter and antimatter should have been created in equal amounts. Why we live in a universe of matter, with very little antimatter, remains a mystery. The excess of matter could be explained by the violation of charge-parity (CP) symmetry, which essentially means that certain processes that involve particles behave differently to those that involve their antiparticles.