A note on the architecture of spacetime geometry

Fen Zuo

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arXiv · 1607.05866

A note on the architecture of spacetime geometry

Fen Zuo

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Abstract

Recently the $\text{SU}(2)$ 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 $\text{SL}(2,\mathbb{C})$ 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.

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Fen Zuo. 2016-07-20. A note on the architecture of spacetime geometry. https://arxiv.org/abs/1607.05866

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