A formalism previously introduced by the author using tesselated Cauchy surfaces is applied to define a quantized version of gravitating point particles in 2+1 dimensions. We observe that this is the first model whose quantum version automatically discretizes time. But also spacelike distances are discretized in a very special way
When investigating quantum or semiclassical phenomena in a general relativistic context one usually ...
In three spacetime dimensions, general relativity drastically simplifies, becoming a ``topological''...
In three spacetime dimensions, general relativity drastically simplifies, becoming a "topological" t...
We study the phase space structure and the quantization of a pointlike particle in 2+1 dimensional g...
By investigating the canonical commutation rules for gravitating quantized particles in a 2+1 dimens...
We review and systematize recent attempts to canonically quantize general relativity in 2+1 dimensio...
In these notes we will review some approaches to 2+1 dimensional gravity and the way it is coupled t...
After briefly reviewing the hamiltonian approach to 2+1 dimensional gravity in absence of matter on ...
We show how the quantization of two-dimensional gravity leads to an (Euclidean) quantum space-time w...
We consider the problem of (1+1)-dimensional quantum gravity coupled to particles. Working with the ...
In this Master thesis we consider 't Hooft's polygon model for 2+1D gravity. After a detailed review...
We revisit the issue of time in quantum geometrodynamics and suggest a quantization procedure on the...
Standard techniques of canonical gravity quantization on the superspace of 3--metrics are known to c...
Quantum Gravity is a field of physics that attempts to describe gravity according to the principles ...
We describe recent attempts at discretizing canonical quantum gravity in four dimensions in terms of...
When investigating quantum or semiclassical phenomena in a general relativistic context one usually ...
In three spacetime dimensions, general relativity drastically simplifies, becoming a ``topological''...
In three spacetime dimensions, general relativity drastically simplifies, becoming a "topological" t...
We study the phase space structure and the quantization of a pointlike particle in 2+1 dimensional g...
By investigating the canonical commutation rules for gravitating quantized particles in a 2+1 dimens...
We review and systematize recent attempts to canonically quantize general relativity in 2+1 dimensio...
In these notes we will review some approaches to 2+1 dimensional gravity and the way it is coupled t...
After briefly reviewing the hamiltonian approach to 2+1 dimensional gravity in absence of matter on ...
We show how the quantization of two-dimensional gravity leads to an (Euclidean) quantum space-time w...
We consider the problem of (1+1)-dimensional quantum gravity coupled to particles. Working with the ...
In this Master thesis we consider 't Hooft's polygon model for 2+1D gravity. After a detailed review...
We revisit the issue of time in quantum geometrodynamics and suggest a quantization procedure on the...
Standard techniques of canonical gravity quantization on the superspace of 3--metrics are known to c...
Quantum Gravity is a field of physics that attempts to describe gravity according to the principles ...
We describe recent attempts at discretizing canonical quantum gravity in four dimensions in terms of...
When investigating quantum or semiclassical phenomena in a general relativistic context one usually ...
In three spacetime dimensions, general relativity drastically simplifies, becoming a ``topological''...
In three spacetime dimensions, general relativity drastically simplifies, becoming a "topological" t...