Propagation and interaction of chiral states in quantum gravity

Smolin, Lee; Wan, Yidun

doi:10.1016/j.nuclphysb.2007.12.018

Cited by 20 publications

(103 citation statements)

References 11 publications

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“…This generalises to the statement that any nontrivial braid with internal twists is stable under single evolution moves. The stable braids are thus considered noiseless subsystems [93] and local excitations with conserved quantities [41,46]. Section 3.7 has more on the stability and locality of 4-valent braids.…”

Section: Dynamics: Evolution Movesmentioning

confidence: 99%

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Emergent Braided Matter of Quantum Geometry

Bilson-Thompson¹

2012

SIGMA

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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. These networks 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 braids on trivalent braided ribbon networks, while the latter investigates the braids on tetravalent braided ribbon networks. Both schemes have been fruitful. The trivalent scheme has been quite successful at establishing a correspondence between braids and Standard Model particles, whereas the tetravalent scheme has naturally substantiated a rich, dynamical theory of interactions and propagation of 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.

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Section: Dynamics: Evolution Movesmentioning

confidence: 99%

“…Braids that can propagate in this way are called actively propagating and otherwise stationary or non-actively propagating. Nevertheless, active braid propagation needs some special care that may modify the overall settings of the 4-valent scheme, we thus refer to [93,102] for details.…”

Section: Dynamics: Propagation Direct and Exchange Interaction Of Brmentioning

confidence: 99%

Emergent Braided Matter of Quantum Geometry

Bilson-Thompson¹

2012

SIGMA

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“…The three-valent case considered in [1,2,3] is limited by lack of creation and annihilation of the topological invariants [2] which are considered corresponding to Standard Model particles [3]. This partly motivates our work in the four-valent case [4,5,6,7,8] in which the topological excitations can propagate and interact under the dual Pachner moves [5]. The four-valent spin networks here can be understood as those naturally occur in spin foam models [12], or in a more generic sense as the original proposal of spin networks put forward by Penrose [13].…”

Section: Introductionmentioning

confidence: 99%

“…In addition, [7] shows that all actively interacting braids form a noncommutative algebra of which the product (binary operation) is braid interaction, and that an actively interacting braid behaves like a map, taking a non-actively interacting braid to another non-actively interacting one. However, each braid interaction of the type discussed so far in [5,6,7,8] must always involve at least one actively-interacting braid. In this paper we will investigate a new type of interaction which takes two adjacent braids to another two adjacent braids via exchanging a virtual actively interacting braid.…”

Section: Introductionmentioning

confidence: 99%

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Effective theory of braid excitations of quantum geometry in terms of Feynman diagrams

Wan

2009

Nuclear Physics B

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We study interactions amongst topologically conserved excitations of quantum theories of gravity, in particular the braid excitations of four valent spin networks. These have been shown previously to propagate and interact under evolution rules of spin foam models. We show that the dynamics of these braid excitations can be described by an effective theory based on Feynman diagrams. In this language, braids which are actively interacting are analogous to bosons, in that the topological conservation laws permit them to be singly created and destroyed. Exchanges of these excitations give rise to interactions between braids which are charged under the topological conservation rules.

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Particle creation from vacuum by Lorentz violation

Khosravi

2010

Gen Relativ Gravit

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It is shown that the vacuum state in presence of Lorentz violation can be followed by a particlefull universe that represents the current status of the universe. In this model the modification in dispersion relation (Lorentz violation) is picked up representing the regime of quantum gravity. The result can be interpreted such that the existence of the particles is an evidence for quantum effects of gravity in the past. It is concluded that only the vacuum state is sufficient to appear the matter fields spontaneously after the process of semi-classical analysis.PACS: 04.60.-m (Quantum gravity), 04.62.+v (Quantum fields in curved spacetime)

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Propagation and interaction of chiral states in quantum gravity

Cited by 20 publications

References 11 publications

Emergent Braided Matter of Quantum Geometry

Emergent Braided Matter of Quantum Geometry

Effective theory of braid excitations of quantum geometry in terms of Feynman diagrams

Particle creation from vacuum by Lorentz violation

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