Algebraic Quantum Gravity (AQG). I. Conceptual Setup

@article{Giesel2007AlgebraicQG,
  title={Algebraic Quantum Gravity (AQG). I. Conceptual Setup},
  author={Kristina Giesel and Thomas Thiemann},
  journal={Classical and Quantum Gravity},
  year={2007},
  volume={24},
  pages={2465-2497}
}
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 generated by a countable set of elementary operators labelled by an algebraic graph. The quantum dynamics of AQG is governed by a single master constraint operator. While AQG is inspired by loop quantum gravity (LQG), it differs drastically from it because in AQG there is fundamentally no topology or differential… 

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