A note on cutting spin networks and the area spectrum in loop quantum gravity
General Relativity and Quantum Cosmology
2016-05-25 v3
Abstract
In this paper, I show that if a spin network is cut by a surface separating space-time into two regions, the sum of spins of edges crossing the surface must be an integer. This gives a restriction on the area spectrum of such surfaces, including black hole horizons, in loop quantum gravity.
Cite
@article{arxiv.1506.03829,
title = {A note on cutting spin networks and the area spectrum in loop quantum gravity},
author = {Yu Asato},
journal= {arXiv preprint arXiv:1506.03829},
year = {2016}
}
Comments
7 pages with 2 figures; v2: added references; v3: added discussion of a sufficient condition, generalization, some clearer explanations, and more references