Emergent Braided Matter of Quantum Geometry
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 gravit...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2012 |
| Автори: | , , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2012
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/148393 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Emergent Braided Matter of Quantum Geometry / S. Bilson-Thompson, J. Hackett, L. Kauffman, Y. Wan // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 106 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862553914644103168 |
|---|---|
| author | Bilson-Thompson, S. Hackett, J. Kauffman, L. Wan, Y. |
| author_facet | Bilson-Thompson, S. Hackett, J. Kauffman, L. Wan, Y. |
| citation_txt | Emergent Braided Matter of Quantum Geometry / S. Bilson-Thompson, J. Hackett, L. Kauffman, Y. Wan // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 106 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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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| first_indexed | 2025-11-25T21:22:36Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-148393 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-25T21:22:36Z |
| publishDate | 2012 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Bilson-Thompson, S. Hackett, J. Kauffman, L. Wan, Y. 2019-02-18T11:29:11Z 2019-02-18T11:29:11Z 2012 Emergent Braided Matter of Quantum Geometry / S. Bilson-Thompson, J. Hackett, L. Kauffman, Y. Wan // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 106 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 83C45; 83C27; 81T99; 81V25; 20F36; 18D35; 20K45; 81P68 DOI: http://dx.doi.org/10.3842/SIGMA.2012.014 https://nasplib.isofts.kiev.ua/handle/123456789/148393 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. This paper is a contribution to the Special Issue “Loop Quantum Gravity and Cosmology”. The full collection is available at http://www.emis.de/journals/SIGMA/LQGC.html.
 SBT is grateful to the Ramsay family for their support through the Ramsay Postdoctoral Fellowship. JH is grateful to his Thesis Advisor Lee Smolin for his discussion and critical comments. YW is in debt to his Supervisor Mikio Nakahara for his constant support and generosity. YW is also supported by “Open Research Center” Project for Private Universities: matching fund subsidy from MEXT, Japan. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Emergent Braided Matter of Quantum Geometry Article published earlier |
| spellingShingle | Emergent Braided Matter of Quantum Geometry Bilson-Thompson, S. Hackett, J. Kauffman, L. Wan, Y. |
| title | Emergent Braided Matter of Quantum Geometry |
| title_full | Emergent Braided Matter of Quantum Geometry |
| title_fullStr | Emergent Braided Matter of Quantum Geometry |
| title_full_unstemmed | Emergent Braided Matter of Quantum Geometry |
| title_short | Emergent Braided Matter of Quantum Geometry |
| title_sort | emergent braided matter of quantum geometry |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148393 |
| work_keys_str_mv | AT bilsonthompsons emergentbraidedmatterofquantumgeometry AT hackettj emergentbraidedmatterofquantumgeometry AT kauffmanl emergentbraidedmatterofquantumgeometry AT wany emergentbraidedmatterofquantumgeometry |