paper

Infinite Degeneracy of States in Quantum Gravity

arXiv:0811.2161 · doi:10.1088/1742-6596/306/1/012053

Abstract

The setting of Braided Ribbon Networks is used to present a general result in spin-networks embedded in manifolds: the existence of an infinite number of species of conserved quantities. Restricted to three-valent networks the number of such conserved quantities in a given network is shown to be invariant barring a single case. The implication of these conserved quantities is discussed in the context of Loop Quantum Gravity.

10 pages, 14 figures, v2: some clarifications, no substantial changes

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