Invariants of Spin Networks from Braided Ribbon Networks

2011/06/25 by Jonathan Hackett, Hackett, Jonathan
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories #Quantum and electron transport phenomena #Quantum many-body systems

paper · pdf · doi:10.48550/arxiv.1106.5095

openalex publication_date 2011/06/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We connect Braided Ribbon Networks to the states of loop quantum gravity. Using this connection we present the reduced link as an invariant which captures information from the embedding of the spin-networks. We also present a means of understanding higher valent nodes in the context of braided ribbon networks and an interpretation of the dual of these nodes as polygons or polyhedra.

Citations

• Quantum gravity with a positive cosmological constant
• Particle Identifications from Symmetries of Braided Ribbon Network Invariants

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