Spectral geometry of spacetime
arXiv:hep-th/0005260 · doi:10.1142/S0217979200001886
Abstract
Spacetime, understood as a globally hyperbolic manifold, may be characterized by spectral data using a 3+1 splitting into space and time, a description of space by spectral triples and by employing causal relationships, as proposed earlier. Here, it is proposed to use the Hadamard condition of quantum field theory as a smoothness principle.
AMS-LaTeX, 6 pages,Talk presented at the Euroconference on "Non-Commutative Geometry And Hopf Algebras In Field Theory And Particle Physics" Torino, Villa Gualino, September 20 - 30, 1999