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General relativity on observer space

Aug 22
4:00 pm o'clock to 5:30 pm o'clock
SR 02.729

Motivated by the geometric picture of Ashtekar variables involving a spontaneous breaking of Lorentz symmetry through local observers, we present a formulation of general relativity on observer space, the space of all spacetime events and possible observers sitting at those events. We show how the Cartan geometry underlying general relativity can be reformulated on observer space, and give conditions that allow the reconstruction of an invariant spacetime from a given Cartan connection on observer space. We outline possible applications to theories beyond general relativity or ideas from quantum-gravity phenomenology.