Space-Time Foliation in Quantum Gravity (Springer Theses)
Space-Time Foliation in Quantum Gravity (Springer Theses) by Yuki Sato
English | 10 Jun. 2014 | ISBN: 4431549463 | 116 Pages | EPUB (True) | 1.94 MB
English | 10 Jun. 2014 | ISBN: 4431549463 | 116 Pages | EPUB (True) | 1.94 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.