The talk then shifted to Dr. Larry Gladney, an astrophysicist from the University of Pennsylvania. Gladney concluded the talk by presenting some open problems in physics, especially highlighting the mystery of dark matter and dark energy. He continued a little about string theory and Grand Unification, and finally summed up with the current theories on the fate of the universe. The lecture then opened for questions (some of them rather strange) and then concluded.
The study of the empirical law and the extreme laws of the random angles Θij is closely connected to several deterministic open problems in physics and mathematics, including the general problem in physics of finding the minimum energy configuration of a system of particles on the surface of a sphere and the mathematical problem of uniformly distributing points on a sphere, which originally arises in complexity theory. The extreme laws of the random angles considered in this paper is also related to the study of the coherence of a random matrix, which is defined to be the largest magnitude of the Pearson correlation coefficients between the columns of the random matrix. See , ) for the recent results and references on the distribution of the coherence. Some of these connections are discussed in more details in Section 5.
The Top Ten Open Problems in Physics | Researcher's Blog
To understand the wild and erratic motions of a turbulent fluid is one of the major open problems in physics. To help our understanding of order and disorder in hydrodynamic systems, we try to analyze turbulence in as many ways as possible. We studied turbulence in a tank of liquid helium colder than four degrees above absolute zero (it turns out that heating liquid helium produces especially strong turbulence, due to its weak viscosity and ability to attain high speeds of flow). In one study we displayed the differences in various magnitudes of turbulence (described below) using sound.