Spectral geometry of spacetime

Physics – High Energy Physics – High Energy Physics - Theory

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AMS-LaTeX, 6 pages,Talk presented at the Euroconference on "Non-Commutative Geometry And Hopf Algebras In Field Theory And Par

Scientific paper

10.1142/S0217979200001886

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.

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