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Jesper grimstrup
On Spectral Triples in Quantum Gravity
Abstract:
In my talk I will review the construction and interpretation of a
semi-finite spectral triple build from basic ingredients of canonical
quantum gravity. Here, the algebra involves holonomy loops as
functions on a space of connections and the interaction of the Dirac
type operator and the algebra reproduces the structure of the
classical Poisson bracket of General Relativity. Finally, I will show
how semi-classical states which reproduce a classical Dirac operator
are constructed.