Publications (13)
Polymer Quantization of a Self-Gravitating Thin Shell
Jonathan Ziprick, Jack Gegenberg, Gabor Kunstatter
We study the quantum mechanics of self-gravitating thin shell collapse by solving the polymerized Wheeler-DeWitt equation. We obtain the energy spectrum and solve the time dependen…
Discrete Hamiltonian for General Relativity
Jonathan Ziprick, Jack Gegenberg
Beginning from the Ashtekar formulation of canonical general relativity, we derive a physical Hamiltonian written in terms of (classical) loop gravity variables. This is done by ga…
3D gravity with dust: classical and quantum theory
Viqar Husain, Jonathan Ziprick
We study the Einstein gravity and dust system in three spacetime dimensions as an example of a non-perturbative quantum gravity model with local degrees of freedom. We derive the H…
Point particles in 2+1 dimensions: toward a semiclassical loop gravity formulation
Jonathan Ziprick
We study point particles in 2+1 dimensional first order gravity using a triangulation to fix the connection and frame-field. The Hamiltonian is reduced to a boundary term which yie…
Spinning geometry = Twisted geometry
Laurent Freidel, Jonathan Ziprick
It is well known that the SU(2)-gauge invariant phase space of loop gravity can be represented in terms of twisted geometries. These are piecewise-linear-flat geometries obtained b…
Continuous formulation of the Loop Quantum Gravity phase space
Laurent Freidel, Marc Geiller, Jonathan Ziprick
In this paper, we study the discrete classical phase space of loop gravity, which is expressed in terms of the holonomy-flux variables, and show how it is related to the continuous…