From Quantum Effects at Galactic Scales to Chaos in Galaxies

Abstract

We present the big picture of the Dark Matter Problem and concentrate on a candidate that has become solid in recent years, namely an ultralight spinless boson with mass of order 10^{-23} - 10^{-23}eV. The immediate implication of this tiny mass is that the deBroglie wavelength is about the size of galactic cores. We then show how a galaxy is built with this type of matter and the quantum effects that arise at galactic scales. Among one of such effects, we detail the chaotic nature of test particle trajectories within galaxies, which would be an extremely interesting prediction.

Bio:

He earned a Bachelor's degree in Physics and Mathematics at the Escuela Superior de Física y Matemáticas (Higher School of Physics and Mathematics) of the IPN (National Institute of Technology) from 1991 to 1995. He earned his PhD in Science from the Department of Physics at CINVESTAV in 2000. From 2001 to 2004, he completed postdoctoral fellowships at the Max-Planck Institute for Gravitational Physics and the Center for Computation and Technology at Louisiana State University.

Since 2005, he has been a Research Professor at the Institute of Physics and Mathematics of the Universidad Michoacana, where he specializes in the numerical solution of partial differential equations, with applications in hydrodynamics, plasmas, Bose-Einstein condensates, complex fluids, and systems with diffusion and populations. He has supervised 13 undergraduate theses, 9 master's theses, and 6 doctoral theses, one of which won the 2017 Weizmann Prize for the best doctoral thesis in Exact Sciences, an award granted annually by the Mexican Academy of Sciences. He has published 67 articles in international journals and 32 in conference proceedings, which together have received more than 1,500 citations. He is a Level 3 National Researcher and a member of the Computational Physics faculty at the Universidad Michoacana.