6533b7d0fe1ef96bd125a304

RESEARCH PRODUCT

SPECTRAL GEOMETRY OF SPACETIME

Tomáš KopfTomáš KopfTomáš Kopf

subject

High Energy Physics - TheoryPhysicsSmoothness (probability theory)Spacetime010308 nuclear & particles physics010102 general mathematicsMathematical analysisFOS: Physical sciencesSpectral geometryStatistical and Nonlinear Physics16. Peace & justiceCondensed Matter PhysicsSpace (mathematics)01 natural sciencesHigh Energy Physics - Theory (hep-th)Hadamard transform0103 physical sciencesGlobally hyperbolic manifold0101 mathematicsQuantum field theorySpectral data

description

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.

https://doi.org/10.1142/s0217979200001886