Browsing University of Waterloo by Supervisor "Freidel, Laurent"
Now showing items 1-8 of 8
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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 ... -
At the Corner of Space and Time
(University of Waterloo, 2019-12-09)We perform a rigorous piecewise-flat discretization of classical general relativity in the first-order formulation, in both 2+1 and 3+1 dimensions, carefully keeping track of curvature and torsion via holonomies. We show ... -
Born Geometry
(University of Waterloo, 2020-04-21)In this thesis, we summarize the work which we authored or co-authored during our PhD studies and also present additional details and ideas that are not found elsewhere. The main topic is the study of T-duality in theoretical ... -
Edge Modes and Carrollian Hydrodynamics on Stretched Horizons
(University of Waterloo, 2022-09-27)The first part of this thesis is aimed at investigating the crucial role played by emergent boundary degrees of freedom, called edge modes, in gauge theories defined in spacetimes with boundaries. We propose a simple and ... -
An Exploration of Locality, Conservation Laws, and Spin
(University of Waterloo, 2017-01-23)Conservation rules are central to our understanding of the physical world, they place re- strictions on how particles can move and dictate what can occur during an interaction. However, it is often taken for granted how a ... -
Fermion Doubling in Loop Quantum Gravity
(University of Waterloo, 2015)For the last 20 years, it has been known how to couple matter to the theory of loop quantum gravity. However, one of the most simple questions that can be asked about this framework has not been addressed; is there a fermion ... -
Gravitational Thermodynamics: From Black Holes to Holography
(University of Waterloo, 2021-06-01)The subject of gravitational thermodynamics lies at the center of numerous fields of study, many of which may seem disconnected, yet have proven to be deeply entwined. This thesis examines two primary facets of this subject, ... -
Towards vertex renormalization in 4d Spin Foams
(University of Waterloo, 2017-07-24)A long-standing open problem in 4-dimensional Spin Foam models of Quantum Gravity has been the behavior of the amplitudes under coarse graining. In this thesis, we attempt to study this question by using the recent ...