Now showing items 1-5 of 5

    • At the Corner of Space and Time 

      Shoshany, Barak (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 ...
    • From Gravity to Hopf Algebra Lattice Models 

      Osumanu, Abdulmajid (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 ...
    • Non-compact groups, tensor operators and applications to quantum gravity 

      Sellaroli, Giuseppe (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 ...
    • Toward Canonical General Relativity in the Loop Gravity Phase Space 

      Ziprick, Jonathan (University of Waterloo, 2014-01-07)
      The continuous, kinematical Hilbert space of loop quantum gravity is built upon a family of spaces $\mathcal{H}_\Gamma$, each associated to a different \textit{graph} $\Gamma$, i.e. a network of interconnected one-dimensional ...
    • Using numerics to explore the EPRL spinfoam amplitude 

      Allen, Courtney (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 ...

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