Space-time Foliation In Quantum Gravity (springer Theses)
by Yuki Sato /
2014 / English / EPUB
1.9 MB Download
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 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 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.
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.