The Relativistic Geometry and Dynamics of Electrons
Atiyah and Sutcliffe (Proc R Soc Lond Ser A 458:1089–1115, 2002 ) made a number of conjectures about configurations of N distinct points in hyperbolic 3-space, arising from ideas of Berry and Robbins (Proc R Soc Lond Ser A 453:1771–1790, 1997 ). In this paper we prove all these conjectures, purely g...
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Veröffentlicht in: | Foundations of physics 2018-02, Vol.48 (2), p.199-208 |
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creator | Atiyah, M. F. Malkoun, J. |
description | Atiyah and Sutcliffe (Proc R Soc Lond Ser A 458:1089–1115,
2002
) made a number of conjectures about configurations of
N
distinct points in hyperbolic 3-space, arising from ideas of Berry and Robbins (Proc R Soc Lond Ser A 453:1771–1790,
1997
). In this paper we prove all these conjectures, purely geometrically, but we also provide a physical interpretation in terms of Electrons. |
doi_str_mv | 10.1007/s10701-018-0139-2 |
format | Article |
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2002
) made a number of conjectures about configurations of
N
distinct points in hyperbolic 3-space, arising from ideas of Berry and Robbins (Proc R Soc Lond Ser A 453:1771–1790,
1997
). In this paper we prove all these conjectures, purely geometrically, but we also provide a physical interpretation in terms of Electrons.</description><identifier>ISSN: 0015-9018</identifier><identifier>EISSN: 1572-9516</identifier><identifier>DOI: 10.1007/s10701-018-0139-2</identifier><language>eng</language><publisher>New York: Springer US</publisher><subject>Classical and Quantum Gravitation ; Classical Mechanics ; Electrons ; History and Philosophical Foundations of Physics ; Philosophy of Science ; Physics ; Physics and Astronomy ; Quantum Physics ; Relativity Theory ; Statistical Physics and Dynamical Systems</subject><ispartof>Foundations of physics, 2018-02, Vol.48 (2), p.199-208</ispartof><rights>Springer Science+Business Media, LLC, part of Springer Nature 2018</rights><rights>Copyright Springer Science & Business Media 2018</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c316t-fb6a32526e127406d112fa74d7ef09330553e297dbfc3b0881d48aa2b00182393</citedby><cites>FETCH-LOGICAL-c316t-fb6a32526e127406d112fa74d7ef09330553e297dbfc3b0881d48aa2b00182393</cites><orcidid>0000-0002-5145-8738</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s10701-018-0139-2$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s10701-018-0139-2$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Atiyah, M. F.</creatorcontrib><creatorcontrib>Malkoun, J.</creatorcontrib><title>The Relativistic Geometry and Dynamics of Electrons</title><title>Foundations of physics</title><addtitle>Found Phys</addtitle><description>Atiyah and Sutcliffe (Proc R Soc Lond Ser A 458:1089–1115,
2002
) made a number of conjectures about configurations of
N
distinct points in hyperbolic 3-space, arising from ideas of Berry and Robbins (Proc R Soc Lond Ser A 453:1771–1790,
1997
). In this paper we prove all these conjectures, purely geometrically, but we also provide a physical interpretation in terms of Electrons.</description><subject>Classical and Quantum Gravitation</subject><subject>Classical Mechanics</subject><subject>Electrons</subject><subject>History and Philosophical Foundations of Physics</subject><subject>Philosophy of Science</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum Physics</subject><subject>Relativity Theory</subject><subject>Statistical Physics and Dynamical Systems</subject><issn>0015-9018</issn><issn>1572-9516</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><recordid>eNp1kE1LAzEQhoMoWKs_wNuC5-hMspuPo9TaCgVB6jlkdxPdsh812Qr996as4MnDMId53ndmXkJuEe4RQD5EBAlIAVUqrik7IzMsJKO6QHFOZgBYUJ3Gl-Qqxh0AaCnyGeHbT5e9udaOzXcTx6bKVm7o3BiOme3r7OnY266pYjb4bNm6agxDH6_JhbdtdDe_fU7en5fbxZpuXlcvi8cNrTiKkfpSWM4KJhwymYOoEZm3Mq-l86A5h6LgjmlZl77iJSiFda6sZWW6VTGu-ZzcTb77MHwdXBzNbjiEPq00LP2suFBSJAonqgpDjMF5sw9NZ8PRIJhTNmbKxiRXc8rGsKRhkyYmtv9w4c_5f9EPbc5kWg</recordid><startdate>20180201</startdate><enddate>20180201</enddate><creator>Atiyah, M. F.</creator><creator>Malkoun, J.</creator><general>Springer US</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0002-5145-8738</orcidid></search><sort><creationdate>20180201</creationdate><title>The Relativistic Geometry and Dynamics of Electrons</title><author>Atiyah, M. F. ; Malkoun, J.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c316t-fb6a32526e127406d112fa74d7ef09330553e297dbfc3b0881d48aa2b00182393</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Classical and Quantum Gravitation</topic><topic>Classical Mechanics</topic><topic>Electrons</topic><topic>History and Philosophical Foundations of Physics</topic><topic>Philosophy of Science</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quantum Physics</topic><topic>Relativity Theory</topic><topic>Statistical Physics and Dynamical Systems</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Atiyah, M. F.</creatorcontrib><creatorcontrib>Malkoun, J.</creatorcontrib><collection>CrossRef</collection><jtitle>Foundations of physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Atiyah, M. F.</au><au>Malkoun, J.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The Relativistic Geometry and Dynamics of Electrons</atitle><jtitle>Foundations of physics</jtitle><stitle>Found Phys</stitle><date>2018-02-01</date><risdate>2018</risdate><volume>48</volume><issue>2</issue><spage>199</spage><epage>208</epage><pages>199-208</pages><issn>0015-9018</issn><eissn>1572-9516</eissn><abstract>Atiyah and Sutcliffe (Proc R Soc Lond Ser A 458:1089–1115,
2002
) made a number of conjectures about configurations of
N
distinct points in hyperbolic 3-space, arising from ideas of Berry and Robbins (Proc R Soc Lond Ser A 453:1771–1790,
1997
). In this paper we prove all these conjectures, purely geometrically, but we also provide a physical interpretation in terms of Electrons.</abstract><cop>New York</cop><pub>Springer US</pub><doi>10.1007/s10701-018-0139-2</doi><tpages>10</tpages><orcidid>https://orcid.org/0000-0002-5145-8738</orcidid></addata></record> |
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subjects | Classical and Quantum Gravitation Classical Mechanics Electrons History and Philosophical Foundations of Physics Philosophy of Science Physics Physics and Astronomy Quantum Physics Relativity Theory Statistical Physics and Dynamical Systems |
title | The Relativistic Geometry and Dynamics of Electrons |
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