Browsing Mathematics (Faculty of) by Supervisor "Girelli, Florian"
Now showing items 1-9 of 9
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Black Hole to White Hole Quantum Tunnelling
(University of Waterloo, 2019-08-26)In this thesis, we explore the proposal that near the end of its lifetime, a Schwarzschild black hole will undergo a quantum transition into a 'white hole': an object which is precisely the time-reversal of the black hole. ... -
From Gravity to Hopf Algebra Lattice Models
(University of Waterloo, 2019-10-02)This thesis addresses three different problems related to quantum gravity. In the first problem we will discuss the two natural ways to encode gravity through geometric structures. One is the much acclaimed Einstein's ... -
Higher Gauge Theory and Discrete Geometry
(University of Waterloo, 2023-06-05)In four dimensions, gravity can be seen as a constrained topological model. This provides a natural way to construct quantum gravity models, since topological models are relatively straightforward to quantize. Difficulty ... -
Non-compact groups, tensor operators and applications to quantum gravity
(University of Waterloo, 2016-09-23)This work focuses on non-compact groups and their applications to quantum gravity, mainly through the use of tensor operators. Non-compact groups appear naturally if the space-time is of Lorentzian signature, but can also ... -
q-deformed LQG in three dimensional space-time
(University of Waterloo, 2022-08-23)Loop quantum gravity (LQG) is a canonical, background-independent and non-perturbative approach to quantum gravity. This thesis is devoted to studying three-dimensional (3D) quantum gravity with a non-vanishing cosmological ... -
Quasi-Hopf Symmetry in Loop Quantum Gravity with Cosmological constant and Spinfoams with timelike surfaces
(University of Waterloo, 2018-09-20)In this thesis we study two separate problems concerning improvements to the Loop quantum gravity and spinfoam approach to quantum gravity. In the first part we address the question about the origin of quantum group ... -
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 ... -
Universe Beyond Inflation and ΛCDM
(University of Waterloo, 2021-09-09)The current paradigm of universe, $\Lambda CDM$ model with an early phase of inflation, has been quite successful in describing our universe in a simple manner, yet matching well with the observational evidence. This model ... -
Using numerics to explore the EPRL spinfoam amplitude
(University of Waterloo, 2020-08-25)The use of numerical methods in loop quantum gravity is still relatively untapped. Numerical methods are, however, a useful tool, and offer access to regimes that are as of yet inaccessible by analytical methods. This ...