A note on the architecture of spacetime geometry
High Energy Physics - Theory
2017-05-24 v2 General Relativity and Quantum Cosmology
Abstract
Recently the spin-network states in loop quantum gravity is generalized to those of the corresponding affine Lie algebra. We show that if one literally starts from the full group, this procedure naturally leads to the Bekenstein-Hawking formula of the entanglement entropy for any macroscopic spacetime region. This suggests that a smooth spacetime geometry could be recovered in such a way, as conjectured by Bianchi and Myers. Some comparison with Xiao-Gang Wen's string-net picture of gauge theory is made.
Cite
@article{arxiv.1607.05866,
title = {A note on the architecture of spacetime geometry},
author = {Fen Zuo},
journal= {arXiv preprint arXiv:1607.05866},
year = {2017}
}
Comments
An intuitive comparison with the recent Witten-Costello construction for the integrable lattice models is made; a few improper statements and misleading notations are corrected