Space-time dynamics from algebra representations
arXiv:gr-qc/0208088 · doi:10.1088/0305-4470/32/47/102
Abstract
We present a model for introducing dynamics into a space-time geometry. This space-time structure is constructed from a C*-algebra defined in terms of the generators of an irreducible unitary representation of a finite-dimensional Lie algebra G. This algebra is included as a subalgebra in a bigger algebra F, the generators of which mix the representations of G in a way that relates different space-times and creates the dynamics. This construction can be considered eventually as a model for 2-D quantum gravity.
6 pages, LaTeX, no figures. Old paper submitted for archive reasons