Quantum gravity and the standard model

Bilson-Thompson, Sundance; Markopoulou, Fotini; Smolin, Lee

doi:10.1088/0264-9381/24/16/002

Cited by 97 publications

(185 citation statements)

References 37 publications

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“…Even in the case of the Bilson-Thompson's preons, emerging from the quantum dynamics of spacetime, the authors admit that the effective low-energy preon dynamics is unknown because it is completely decoupled from the underlying spacetime dynamics [114]. In our view, it is the preon dynamics that is crucial for understanding the properties of the standard model particles.…”

Section: −18mentioning

confidence: 94%

“…Raitio makes use of the idea that preons must be of the minimal possible size and maximal possible mass (calling them "maxons"), which resemble in a sense Markov's primitive particles called "maximons" [113]. In a more recent preon model proposed by Bilson-Thompson, Markopoulou and Smolin [114], which was likely inspired by the more general topological theory developed in 1999 by Khovanov [115][116][117], the fundamental fermions appear as invariant states corresponding to the braidings of manifolds with genus 3, each of the possible braidings having been identified with a standard model particle. This model is quite different from the other preon models by representing preons as extended objects with complicated topology arising from spacetime dynamics.…”

Section: Introductionmentioning

confidence: 99%

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A cyclic universe with colour fields

Yershov

2009

Open Physics

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Abstract:The topology of the universe is discussed in relation to the singularity problem. We explore the possibility that the initial state of the universe might have had a structure with 3-Klein bottle topology, which would lead to a model of a nonsingular oscillating (cyclic) universe with a well-defined boundary condition. The same topology is assumed to be intrinsic to the nature of the hypothetical primitive constituents of matter (usually called preons) giving rise to the observed variety of elementary particles. Some phenomenological implications of this approach are also discussed.

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Section: −18mentioning

confidence: 94%

Section: Introductionmentioning

confidence: 99%

A cyclic universe with colour fields

Yershov

2009

Open Physics

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“…Braiding and exotic statistics may also have some bearing on interpretations of Standard Model particles in terms of framed spin networks [55,56]. Framings arise naturally in spinnetworks with q-deformed groups [37] which are needed in LQG with a cosmological constant (nontrivial [P µ , P ν ]).…”

Section: Exotic Statistics For Ordinary Particles In Lqgmentioning

confidence: 99%

Exotic Statistics for Ordinary Particles in Quantum Gravity

Swain

2008

Int. J. Mod. Phys. D

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SUMMARYObjects exhibiting statistics other than the familiar Bose and Fermi ones are natural in theories with topologically nontrivial objects including geons, strings, and black holes. It is argued here from several viewpoints that the statistics of ordinary particles with which we are already familiar are likely to be modified due to quantum gravity effects. In particular, such modifications are argued to be present in loop quantum gravity and in any theory which represents spacetime in a fundamentally piecewise-linear fashion. The appearance of unusual statistics may be a generic feature (such as the deformed position-momentum uncertainty relations and the appearance of a fundamental length scale) which are to be expected in any theory of quantum gravity, and which could be testable.

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“…This identification opens up a possibility of describing quantum gravitational dynamics with the mathematics developed in knot theory [18]. Also, it is generally believed that matter excitations might be realized as particular states in the spin network space, where braid configurations (corresponding to standard model generations) are expected to live [19].…”

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confidence: 94%

My Journey Into the Physics of David Finkelstein

Alexander

2016

Int J Theor Phys

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David Finkelstein was a co-pioneer of the use of topology and solitons in theoretical physics. The author reflects on the great impact Finkelstein had on his research throughout his career. The author provides an application of one of Finkelsteins idea pertaining to the fusion of quantum theory with relativity by utilizing techniques from Loop Quantum Gravity.My first encounter with the ideas of David Finkelstein was as a graduate student at Brown. It was the mid 90s and the role of topological defects, such as magnetic monopoles and cosmic strings, in cosmology were quite topical. Even after the measurement of the first doppler peak by the COBE/DMR experiment ruled out cosmic strings as a candidate for seeding the large scale structure in the universe, topological defects had other important roles to play in the early universe. But from a pedagogical point of view the study of topological defects was a great subject for a Ph.D student. Topological defects provided an arena that integrates the role topology in quantum field theory, the relation between symmetry breaking patterns and the vacuum manifold as well as the connection between topological charge and homotopy groups.One day I was walking down the hall when one of my professors Antal Jevicki asked me what I was working on. I proudly told him that I was working on the interaction between monopoles and domain walls. It was a new way of solving the monopole problem in cosmology. As the early universe expanded an cooled to temperatures below the GUT phase transition, monopoles are predicted to form as a result of breaking the GUT group G, G = SU (5) to the standard model subgroup H, H = SU (3) × SU (2) × U(1). In some GUT theories domain walls will be produced. It was postulated by Dvali and Vaschapati that the domain walls could sweep up the monopoles. Monopoles are classified by a non-trivial homotopy group, which determines the topological charge of the monopole π 2 (G/H ) = Z.

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Quantum gravity and the standard model

Cited by 97 publications

References 37 publications

A cyclic universe with colour fields

A cyclic universe with colour fields

Exotic Statistics for Ordinary Particles in Quantum Gravity

My Journey Into the Physics of David Finkelstein

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