Quantum holonomy theory

@article{Aastrup2015QuantumHT,
  title={Quantum holonomy theory},
  author={Johannes Aastrup and Jesper M{\o}ller Grimstrup},
  journal={Protein Science},
  year={2015},
  volume={64},
  pages={783-818}
}
We present quantum holonomy theory, which is a non-perturbative theory of quantum gravity coupled to fermionic degrees of freedom. The theory is based on a C*-algebra that involves holonomy-diffeomorphisms on a 3-dimensional manifold and which encodes the canonical commutation relations of canonical quantum gravity formulated in terms of Ashtekar variables. Employing a Dirac type operator on the configuration space of Ashtekar connections we obtain a semi-classical state and a kinematical… Expand

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