College of Arts and Sciences Department of Physics and Astronomy University of South Carolina Colloquium “An Integration of General Relativity and Quantum Theory” Speaker: Dr. Joseph E. Johnson Distinguished Professor Emeritus Department of Physics and Astronomy University of South Carolina Columbia, South Carolina THURSDAY May 5 Abstract: For the last one hundred years, physicists have been frustrated by the lack of a methodology for integrating Einstein’s theory of general relativity with quantum theory as well as with the emerging standard model. I will review and then utilize, (1) the customary assumptions for standard relativistic quantum theory as based upon the foundational framework of the representations of the Poincare (Lorentz, rotation, and translation algebras) and the Heisenberg Lie algebras, (2) Einstein’s formulation of general relativity, and (3) the (evolving) gauge algebras of the standard model. I then make a single very natural generalization to this structure that links these components together. I then propose a new algebraic framework with an “algebra of both space-time and gauge observables” that integrates quantum theory with general relativity into a single framework of a space-time based “Lie” algebra with variable “structure constraints” (determined by the energy momentum tensor) whose representations in turn define the particles and fields in the standard model. I will also discuss an approach that might enable some solutions and results with the resulting set of these complex equations. One result is a new form of the Heisenberg uncertainty principle in the presence of strong gravitational fields. 4:15 p.m. Jones Physical Science Center Room 409 (Rogers Seminar Room) Hosted By: Dr. Timir Datta Refreshments Served Everyone Invited www.physics.sc.edu
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