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arXiv · 1604.06319

Quantum Holonomy Theory and Hilbert Space Representations

Johannes Aastrup·Jesper M. Grimstrup
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Abstract

We present a new formulation of quantum holonomy theory, which is a candidate for a non-perturbative and background independent theory of quantum gravity coupled to matter and gauge degrees of freedom. The new formulation is based on a Hilbert space representation of the QHD(M) algebra, which is generated by holonomy-diffeomorphisms on a 3-dimensional manifold and by canonical translation operators on the underlying configuration space over which the holonomy-diffeomorphisms form a non-commutative C*-algebra. A proof that the state that generates the representation exist is left for later publications.

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Johannes Aastrup, Jesper M. Grimstrup. 2016-05-09. Quantum Holonomy Theory and Hilbert Space Representations. https://doi.org/10.1002/prop.201600101

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