On Braid Excitations in Quantum Gravity

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dc.creatorWan, Yidun
dc.date2007-10-05
dc.date.accessioned2026-07-07T08:50:46Z
dc.date.available2026-07-07T08:50:46Z
dc.descriptionWe propose a new notation for the states in some models of quantum gravity, namely 4-valent spin networks embedded in a topological three manifold. With the help of this notation, equivalence moves, namely translations and rotations, can be defined, which relate the projections of diffeomorphic embeddings of a spin network. Certain types of topological structures, viz 3-strand braids as local excitations of embedded spin networks, are defined and classified by means of the equivalence moves. This paper formulates a mathematical approach to the further research of particle-like excitations in quantum gravity.
dc.description24 pages, 16 figures, 5 tables
dc.identifierhttps://arxiv.org/abs/0710.1312
dc.identifierhttp://arxiv.org/abs/0710.1312
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144711
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectMathematical Physics
dc.titleOn Braid Excitations in Quantum Gravity
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