From Dynamics to Geometry: Fire, Math and the Stars - A Work in Progress

In this 50-minute lecture, explore David Spergel's ongoing research project investigating the behavior of passive and active tracers in turbulent flows. Discover how turbulent flows with scaling law behavior may reveal that scalar fields advected by these flows exhibit ADS-like geometric properties. Learn how the dimension of the ADS layer relates to the ratio between the Kolmogorov timescale (smallest eddy turnover time) and tracer reaction time. Understand how this relationship enables astronomers to use the geometry of distant celestial objects to uncover underlying physics at scales much smaller than what telescopes can directly observe. The presentation includes preliminary findings and outlines future research directions as part of the Simons Collaboration on the Localization of Waves.