Jesper Grimstrup
(U Copenhagen)
A spectral triple of Quantum Gravity
In my talk I will outline the construction and interpretation of a
spectral triple over a functional space of connections. The triple is
based on a projective system of simplicial complexes. The algebra is
formed by abstract loops and the Dirac operator plays the role of a
functional derivation. The Hilbert space inner product involves a
functional integral. The commutator between the Dirac operator and an
element of the algebra is directly related to the Poisson brackets of
canonical gravity.
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Contact
Rainer Verch
ITP, Universitaet Leipzig
Vor dem Hospitaltore 1
Phone: +49 341 97 32423