Infinite degeneracy of states in quantum gravity

2008/11/30 by Jonathan Hackett, Yidun Wan · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Particle physics theoretical and experimental studies #gr-qc #hep-th #math-ph #math.MP

paper · pdf · doi:10.1088/1742-6596/306/1/012053

published as J.Phys.Conf.Ser.306:012053,2011 · 10 pages, 14 figures, v2: some clarifications, no substantial changes

arxiv created 2010/03/01 · openalex publication_date 2011/07/08 · arxiv updated 2011/07/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

The setting of Braided Ribbon Networks is used to present a general result in spin-networks embedded in manifolds: the existence of an infinite number of species of conserved quantities. Restricted to three-valent networks the number of such conserved quantities in a given network is shown to be determined by the number of nodes in the network. The implication of these conserved quantities is discussed in the context of Loop Quantum Gravity.

Citations

• Geometry from quantum particles
• The classical limit and the form of the hamiltonian constraint in nonperturbative quantum gravity
• Locality and translations in braided ribbon networks
• Quantum gravity with a positive cosmological constant
• Particle Identifications from Symmetries of Braided Ribbon Network Invariants
• A topological model of composite preons

Cited by

• Emergent Braided Matter of Quantum Geometry
• Invariants of Braided Ribbon Networks