162 citations · 740 across the 9 of their papers we have counts for
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Spectral Analysis of the Volume Operator in Loop Quantum Gravity
J. Brunnemann, D. Rideout
We describe preliminary results of a detailed numerical analysis of the volume operator as formulated by Ashtekar and Lewandowski. Due to a simplified explicit expression for its m…
Loop Quantum Gravity: An Inside View
Thomas Thiemann
This is a (relatively) non -- technical summary of the status of the quantum dynamics in Loop Quantum Gravity (LQG). We explain in detail the historical evolution of the subject an…
Algebraic Quantum Gravity (AQG) II. Semiclassical Analysis
K. Giesel, T. Thiemann
In the previous article a new combinatorial and thus purely algebraical approach to quantum gravity, called Algebraic Quantum Gravity (AQG), was introduced. In the framework of AQG…
Algebraic Quantum Gravity (AQG) I. Conceptual Setup
K. Giesel, T. Thiemann
We introduce a new top down approach to canonical quantum gravity, called Algebraic Quantum Gravity (AQG):The quantum kinematics of AQG is determined by an abstract algebra gen…
Approximating the physical inner product of Loop Quantum Cosmology
Benjamin Bahr, Thomas Thiemann
In this article, we investigate the possibility of approximating the physical inner product of constrained quantum theories. In particular, we calculate the physical inner product…
Solving the Problem of Time in General Relativity and Cosmology with Phantoms and k -- Essence
Thomas Thiemann
We show that if the Lagrangean for a scalar field coupled to General Relativity only contains derivatives, then it is possible to completely deparametrise the theory. This means th…