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Gauge Field Theory Coherent States (GCS) : III.
In the preceding paper of this series of articles we established peakedness properties of a family of coherent states that were introduced by Hall for any compact gauge group and were later
Gauge field theory coherent states (GCS): III. Ehrenfest theorems
In the preceding paper of this series of articles we established peakedness properties of a family of coherent states that were introduced by Hall for any compact gauge group and were later
Singularity resolution in quantum gravity
We examine the singularity resolution issue in quantum gravity by studying a new quantization of standard Friedmann-Robertson-Walker geometrodynamics. The quantization procedure is inspired by the
Manifestly gauge-invariant general relativistic perturbation theory: I. Foundations
Linear cosmological perturbation theory is pivotal to a theoretical understanding of current cosmological experimental data provided e.g. by cosmic microwave anisotropy probes. A key issue in that
Quantum resolution of black hole singularities
We study the classical and quantum theory of spherically symmetric spacetimes with scalar field coupling in general relativity. We utilize the canonical formalism of geometrodynamics adapted to the
Gauge field theory coherent states (GCS): II. Peakedness properties
In this article we apply the methods outlined in the previous paper of this series to the particular set of states obtained by choosing the complexifier to be a Laplace operator for each edge of a
Gauge field theory coherent states (GCS): IV. Infinite tensor product and thermodynamical limit
In the canonical approach to Lorentzian quantum general relativity in four spacetime dimensions an important step forward has been made by Ashtekar, Isham and Lewandowski some eight years ago through
Semiclassical quantum gravity: statistics of combinatorial Riemannian geometries
This paper is a contribution to the development of a framework, to be used in the context of semiclassical canonical quantum gravity, in which to frame questions about the correspondence between
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