Browsing Theses by Subject "Quantum Gravity"
Now showing items 1-14 of 14
-
A 4d Lorentzian Spin Foam Model With Timelike Surfaces
(University of Waterloo, 2010-10-07)We construct a 4d Lorentzian spin foam model capable of describing both spacelike and timelike surfaces. To do so we use a coherent state approach inspired by the Riemannian FK model. Using the coherent state method we ... -
Amplitudes in the Spin Foam Approach to Quantum Gravity
(University of Waterloo, 2017-07-31)In this thesis, we study a Spin Foam model for 4D Riemannian quantum gravity, and propose a new way of imposing the simplicity constraints that uses the recently developed holomorphic representation. Rather than imposing ... -
Cosmological Tests of Causal Set Phenomenology
(University of Waterloo, 2017-09-20)Causal Set Theory is an approach to Quantum Gravity that postulates that the fundamental structure of a spacetime manifold is a Lorentz Invariant discrete structure endowed with a causal order from which the geometry and ... -
Emergence and Phenomenology in Quantum Gravity
(University of Waterloo, 2010-07-09)In this thesis we investigate two approaches to quantum gravity. The first is the emergence of gravity from a discrete fundamental theory, and the second is the direct quantisation of gravity. For the first we develop tools ... -
Explorations of Black Hole Thermodynamics in de Sitter Spacetime
(University of Waterloo, 2019-01-23)In this thesis I map out two approaches that are foundational to studying black hole thermodynamics in de Sitter spacetime. The first is to understand the "thermodynamic volume" of cosmological horizons in isolation. ... -
Forays into Mathematical Physics
(University of Waterloo, 2007-09-27)Two different works in mathematical physics are presented: A construction of conformal infinity in null and spatial directions is constructed for the Rainbow-flat space-time corresponding to doubly special relativity. ... -
Generating Functionals for Spin Foam Amplitudes
(University of Waterloo, 2014-09-25)Various approaches to Quantum Gravity such as Loop Quantum Gravity, Spin Foam Models and Tensor-Group Field theories use invariant tensors on a group, called intertwiners, as the basic building block of transition amplitudes. ... -
Localising Information in Bandlimited Quantum Field Theory
(University of Waterloo, 2015-09-24)A deeply-held belief in fundamental physics is that interactions must happen locally. Despite the great success of local models, there are many indications that locality must be abandoned in a theory of quantum gravity. For ... -
Quantum Gravity Renormalization Group
(University of Waterloo, 2020-07-27)Investigations relating the emergence of the radial direction in the holography, solvable irrelevant deformations of conformal eld theories and holographic entanglement entropy are reported. Emphasis is laid on how ... -
The Relation between Polygonal Gravity and 3D Loop Quantum Gravity
(University of Waterloo, 2017-09-13)In this thesis, we explore the relation between ’t Hooft polygonal gravity and loop quantum gravity (LQG) - two models of discrete gravity in 2+1 dimensions. While the relation between the two theories has been studied ... -
The Statistical Fingerprints of Quantum Gravity
(University of Waterloo, 2008-09-29)In this thesis some equilibrium and non-equilibrium statistical methods are implied on two different versions of non-perturbative quantum gravity. Firstly, we report a novel statistical mechanics in which a class ... -
Studying Black Holes in Superposition Using Unruh-DeWitt Particle Detectors
(University of Waterloo, 2022-09-27)In quantum gravity, we expect black holes to exist in quantum superposition. However, the measurable effects of black hole superpositions have not been studied widely. In this thesis, we study superpositions of different ... -
Taub-NUT Spacetime in the (A)dS/CFT and M-Theory
(University of Waterloo, 2005)In the following thesis, I will conduct a thermodynamic analysis of the Taub-NUT spacetime in various dimensions, as well as show uses for Taub-NUT and other Hyper-Kahler spacetimes. <br /><br /> Thermodynamic analysis ... -
Topology in Fundamental Physics
(University of Waterloo, 2011-09-02)In this thesis I present a mathematical tool for understanding the spin networks that arise from the study of the loop states of quantum gravity. The spin networks that arise in quantum gravity possess more information ...