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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Main Author: J. A. Nieto
Format: Article
Language:English
Published: Frontiers Media S.A. 2018-10-01
Series:Frontiers in Physics
Subjects:
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.
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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