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- W2735519969 abstract "Quantum holonomy theory is a candidate for a non-perturbative theory of quantum gravity coupled to fermions. The theory is based on the QHD(M) algebra, which essentially encodes how matter degrees of freedom are moved on a three-dimensional manifold. In this paper we commence the development of a lattice-independent formulation. We first introduce a flow-dependent version of the QHD(M) algebra and formulate necessary conditions for a state to exist hereon. We then use the GNS construction to build a kinematical Hilbert space. Finally we find that operators, that correspond to the Dirac and gravitational Hamiltonians in a semi-classical limit, are background independent." @default.
- W2735519969 created "2017-07-21" @default.
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- W2735519969 date "2016-02-20" @default.
- W2735519969 modified "2023-09-26" @default.
- W2735519969 title "Quantum Holonomy Theory, Lattice-Independent Formulation" @default.
- W2735519969 hasPublicationYear "2016" @default.
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