Infinite Degeneracy of States in Quantum Gravity
High Energy Physics - Theory
2011-07-13 v2 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.0811.2161,
title = {Infinite Degeneracy of States in Quantum Gravity},
author = {Jonathan Hackett and Yidun Wan},
journal= {arXiv preprint arXiv:0811.2161},
year = {2011}
}
Comments
10 pages, 14 figures, v2: some clarifications, no substantial changes