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Space-Time Foliation in Quantum Gravity (Paperback, Softcover reprint of the original 1st ed. 2014)
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Space-Time Foliation in Quantum Gravity (Paperback, Softcover reprint of the original 1st ed. 2014)
Series: Springer Theses
Expected to ship within 10 - 15 working days
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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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