Preprint Article Version 1 This version is not peer-reviewed

On the Entanglement Entropy of Spacetime and Matter Based on the Action in General Relativity

Version 1 : Received: 13 February 2019 / Approved: 14 February 2019 / Online: 14 February 2019 (11:41:32 CET)

How to cite: Xiong, H.; Liu, S. On the Entanglement Entropy of Spacetime and Matter Based on the Action in General Relativity. Preprints 2019, 2019020136 (doi: 10.20944/preprints201902.0136.v1). Xiong, H.; Liu, S. On the Entanglement Entropy of Spacetime and Matter Based on the Action in General Relativity. Preprints 2019, 2019020136 (doi: 10.20944/preprints201902.0136.v1).

Abstract

We consider the conjecture of the relationship between the entanglement entropy of spacetime, matter and the action in Einstein's general relativity. Our analysis suggests the possibility of regarding the entanglement entropy of spacetime and matter as the dimensionless action in general relativity by using Planck units. In this case, the action principle originates from the maximization of the entanglement entropy. We also show that the fundamental property of entanglement entropy leads to attractive characteristic of gravitational force for classical particles.

Subject Areas

Entanglement entropy; General relativity; Action principle; Quantum spacetime

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