Duality, Matroids, Qubits, Twistors, and Surreal Numbers
We show that via the Grassmann-Plücker relations, the various apparent unrelated concepts, such as duality, matroids, qubits, twistors, and surreal numbers are, in fact, deeply connected. Moreover, we conjecture the possibility that these concepts may be considered as underlying mathematical structu...
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Format: | Article |
Language: | English |
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Frontiers Media S.A.
2018-10-01
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Series: | Frontiers in Physics |
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Online Access: | https://www.frontiersin.org/article/10.3389/fphy.2018.00106/full |
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author | J. A. Nieto |
author_facet | J. A. Nieto |
author_sort | J. A. Nieto |
collection | DOAJ |
description | We show that via the Grassmann-Plücker relations, the various apparent unrelated concepts, such as duality, matroids, qubits, twistors, and surreal numbers are, in fact, deeply connected. Moreover, we conjecture the possibility that these concepts may be considered as underlying mathematical structures in quantum gravity. |
first_indexed | 2024-12-13T10:20:02Z |
format | Article |
id | doaj.art-5ce67d2ebb854834860b2fbd541d1f69 |
institution | Directory Open Access Journal |
issn | 2296-424X |
language | English |
last_indexed | 2024-12-13T10:20:02Z |
publishDate | 2018-10-01 |
publisher | Frontiers Media S.A. |
record_format | Article |
series | Frontiers in Physics |
spelling | doaj.art-5ce67d2ebb854834860b2fbd541d1f692022-12-21T23:51:13ZengFrontiers Media S.A.Frontiers in Physics2296-424X2018-10-01610.3389/fphy.2018.00106414527Duality, Matroids, Qubits, Twistors, and Surreal NumbersJ. A. NietoWe show that via the Grassmann-Plücker relations, the various apparent unrelated concepts, such as duality, matroids, qubits, twistors, and surreal numbers are, in fact, deeply connected. Moreover, we conjecture the possibility that these concepts may be considered as underlying mathematical structures in quantum gravity.https://www.frontiersin.org/article/10.3389/fphy.2018.00106/fulldualitymatroidstwistorssurreal numbersquantum gravity |
spellingShingle | J. A. Nieto Duality, Matroids, Qubits, Twistors, and Surreal Numbers Frontiers in Physics duality matroids twistors surreal numbers quantum gravity |
title | Duality, Matroids, Qubits, Twistors, and Surreal Numbers |
title_full | Duality, Matroids, Qubits, Twistors, and Surreal Numbers |
title_fullStr | Duality, Matroids, Qubits, Twistors, and Surreal Numbers |
title_full_unstemmed | Duality, Matroids, Qubits, Twistors, and Surreal Numbers |
title_short | Duality, Matroids, Qubits, Twistors, and Surreal Numbers |
title_sort | duality matroids qubits twistors and surreal numbers |
topic | duality matroids twistors surreal numbers quantum gravity |
url | https://www.frontiersin.org/article/10.3389/fphy.2018.00106/full |
work_keys_str_mv | AT janieto dualitymatroidsqubitstwistorsandsurrealnumbers |