How the Jones polynomial gives rise to physical states of quantum general relativity

DOI10.1007/BF00756923zbMath0769.58003arXivhep-th/9203040WikidataQ56227982 ScholiaQ56227982MaRDI QIDQ1207725

Rodolfo Gambini, Bernd Brügmann, Jorge Pullin

Publication date: 23 May 1993

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9203040

zbMATH Keywords

quantum gravityJones polynomialknot theory

Mathematics Subject Classification ID

Quantization of the gravitational field (83C45) Manifolds of mappings (58D15) Shapes (aspects of topological manifolds) (57N25)

Related Items

Towards a loop representation for quantum canonical supergravity ⋮ The Kauffman bracket and the Jones polynomial in quantum gravity ⋮ Extended knots and the space of states of quantum gravity ⋮ Knot polynomial states of quantum gravity in terms of loops and extended loops: Some remarks ⋮ A connection between fermionic strings and quantum gravity states: a loop space approach ⋮ Loop quantum gravity ⋮ Loop quantum gravity ⋮ Quantum gravity as a Fermi liquid ⋮ Extended loops: A new arena for nonperturbative quantum gravity ⋮ Gauge Theory of Supergravity Based Only on a Self-Dual Spin Connection

Cites Work

• Quantum field theory and the Jones polynomial
• Knot invariants as nondegenerate quantum geometries
• A loop representation for the quantum Maxwell field
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