By Yuki Sato

In this thesis, the writer considers quantum gravity to enquire the mysterious starting place of our universe and its mechanisms. He and his collaborators have significantly more advantageous the analyticity of 2 versions: causal dynamical triangulations (CDT) and n-DBI gravity, with the space-time foliation that's one universal issue shared by way of those separate models.


In the 1st half, the analytic approach to coupling concerns to CDT in 2-dimensional toy versions is proposed to discover the underlying mechanisms of the universe and to take away ambiguities final in CDT. therefore, the wave functionality of the 2-dimensional universe the place concerns are coupled is derived. The habit of the wave functionality finds that the Hausdorff measurement may be replaced whilst the problem is non-unitary.


In the second one half, the n-DBI gravity version is taken into account. the writer regularly investigates results pushed via the space-time foliation: the looks of a brand new conserved cost in black holes and an additional scalar mode of the graviton. the previous implies a breakdown of the black-hole forte theorem whereas the latter doesn't exhibit any pathological behavior.

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