Kodosky Lecture Series

Dr. Tom Banks, Rutgers University

"Introduction to Holographic Space-time"

The Wheeler DeWitt equation implies that generally covariant classical theories of gravity are Holographic: physical excitations of a causal diamond live on the null boundary of the diamond and can be thought of as pure gauge transformations in the bulk, which are non-trivial on the boundary. This implies that in Minkowski space - the physical degrees of freedom live on the conformal boundary. The Bondi Metzner Sachs generators are an infinite set of commuting operators, whose spectrum defines the Fourier dual of the conformal boundary. The asymptotic operator algebra must also include helicity changing operators, which we postulate to be the supersymmetric extension of BMS, defined by Awada Gibbons and Shaw. Describing scattering in terms of this algebra allows one to describe states with an arbitrary number of zero momentum gravitons, which we call Exclusive Sterman Weinberg jets. The mathematical definition of this algebra is subtle, and can be simplified by taking a limit of finite causal diamonds. The Covariant Entropy Principle of Bekenstein Hawking, 't Hooft, Fischler, Susskind and Bousso, is the guide to the construction of the finite formalism. It was shown by Jacobson to imply Einstein's equations. This finite version of the algebra, and its dynamical evolution, is the formalism we call Holographic Space Time.

11:00am, RLM 9.222