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 SpaceTime Foliation in Quantum Gravity

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PostSubject: SpaceTime Foliation in Quantum Gravity   SpaceTime Foliation in Quantum Gravity EmptyWed Jul 20, 2016 9:39 am


SpaceTime Foliation in Quantum Gravity Ab44daff3e03f4fb7f01ada0f621069a

Space-Time Foliation in Quantum Gravity By Yuki Sato
2014 | 100 Pages | ISBN: 4431549463 | PDF | 2 MB
In this thesis, the author considers quantum gravity to investigate the mysterious origin of our universe and its mechanisms. He and his collaborators have greatly improved the analyticity of two models: causal dynamical triangulations (CDT) and n-DBI gravity, with the space-time foliation which is one common factor shared by these two separate models. In the first part, the analytic method of coupling matters to CDT in 2-dimensional toy models is proposed to uncover the underlying mechanisms of the universe and to remove ambiguities remaining in CDT. As a result, the wave function of the 2-dimensional universe where matters are coupled is derived. The behavior of the wave function reveals that the Hausdorff dimension can be changed when the matter is non-unitary. In the second part, the n-DBI gravity model is considered. The author mainly investigates two effects driven by the space-time foliation: the appearance of a new conserved charge in black holes and an extra scalar mode of the graviton. The former implies a breakdown of the black-hole uniqueness theorem while the latter does not show any pathological behavior.
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