How the Jones polynomial gives rise to physical states of quantum general relativity
type: Item
instance of: scholarly article
title: How the Jones polynomial gives rise to physical states of quantum general relativity
zbMATH Open document ID: 0769.58003
DOI: 10.1007/BF00756923
author: Bernd Brügmann
author: Rodolfo Gambini
author: Jorge Pullin
published in: General Relativity and Gravitation
publication date: 1993-05-23T00:00:00Z
full work available at URL: https://arxiv.org/abs/hep-th/9203040
review text: The main purpose of this essay is to show that, quite surprisingly, there exists a connection between knot theory and quantum gravity also at the dynamical level. The authors exhibit a solution to all constraints of quantum gravity with a cosmological constant in the loop representation related to the Jones polynomial and they indicate how this one solution gives rise to an infinite new set of vacuum solutions.
Mathematics Subject Classification ID: 58D15
Mathematics Subject Classification ID: 83C45
Mathematics Subject Classification ID: 57N25
zbMATH DE Number: 165096
zbMATH Keywords: knot theory
zbMATH Keywords: quantum gravity
zbMATH Keywords: Jones polynomial
Wikidata QID: Q56227982
reviewed by: Viktor Abramov
MaRDI profile type: Publication
arXiv ID: hep-th/9203040
cites work: Quantum field theory and the Jones polynomial
cites work: Knot invariants as nondegenerate quantum geometries
cites work: A loop representation for the quantum Maxwell field
cites work: Q4320985
description: scientific article