
Aug 30 2011
WITS Theory Seminar Series
The National Institute for Theoretical Physics, and the Centre for Theoretical Physics, School of Physics, would like to invite to its coming talk in the theory seminar series, entitled:
"Theory of Quantum SpaceTime"
to be presented by Prof. Lane Hughston (Imperial College)
Abstract: A generalised equivalence principle is put forward according to which spacetime symmetries and internal quantum symmetries are indistinguishable before symmetry breaking. Based on this principle, a higherdimensional extension of Minkowski space is proposed and its properties examined. In this scheme the structure of spacetime is intrinsically quantum mechanical. It is shown that the causal geometry of such a quantum spacetime possesses a rich hierarchical structure.
The natural extension of the Poincare group to quantum spacetime is investigated. In particular, we prove that the symmetry group of a quantum spacetime is generated in general by a system of irreducible Killing tensors. When the symmetries of a quantum spacetime are spontaneously broken, then the points of the quantum spacetime can be interpreted as spacetime valued operators. The generic point of a quantum spacetime in the broken symmetry phase thus becomes a Minkowski spacetime valued operator. Classical spacetime emerges as a map from quantum spacetime to Minkowski space. It is shown that the general such map satisfying appropriate causalitypreserving conditions ensuring linearity and Poincare invariance is necessarily a density matrix.
Date: Tuesday, 30th August 2011
Venue: Frank Nabarro Lecture Theatre P216
Time: 13.20  14.10
Yours sincerely,
Alan S. Cornell
School of Physics
University of the Witwatersrand
Private Bag 3
Wits 2050
South Africa
Tel.:+27117176819
contact
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