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Article overview
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Emergent Braided Matter of Quantum Geometry | Sundance Bilson-Thompson
; Jonathan Hackett
; Louis Kauffman
; Yidun Wan
; | Date: |
1 Sep 2011 | Abstract: | We review and present a few new results of the program of emergent matter as
braid excitations of quantum geometry that is represented by braided ribbon
networks, which are a generalisation of the spin networks proposed by Penrose
and those in models of background independent quantum gravity theories, such as
Loop Quantum Gravity and Spin Foam models. This program has been developed in
two parallel but complimentary schemes, namely the trivalent and tetravalent
schemes. The former studies the trivalent braids on trivalent braided ribbon
networks, while the latter investigate the tetravalent braids on tetravalent
braided ribbon networks. Both schemes have been fruitful. The trivalent scheme
has been quite successful at establishing a correspondence between the
trivalent braids and Standard Model particles, whereas the tetravalent scheme
has naturally substantiated a rich, dynamical theory of interactions and
propagation of tetravalent braids, which is ruled by topological conservation
laws. Some recent advances in the program indicate that the two schemes may
converge to yield a fundamental theory of matter in quantum spacetime. | Source: | arXiv, 1109.0080 | Services: | Forum | Review | PDF | Favorites |
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