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...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Foundations of physics 2018-02, Vol.48 (2), p.199-208
Hauptverfasser: Atiyah, M. F., Malkoun, J.
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 208
container_issue 2
container_start_page 199
container_title Foundations of physics
container_volume 48
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
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2007836876</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2007836876</sourcerecordid><originalsourceid>FETCH-LOGICAL-c316t-fb6a32526e127406d112fa74d7ef09330553e297dbfc3b0881d48aa2b00182393</originalsourceid><addsrcrecordid>eNp1kE1LAzEQhoMoWKs_wNuC5-hMspuPo9TaCgVB6jlkdxPdsh812Qr996as4MnDMId53ndmXkJuEe4RQD5EBAlIAVUqrik7IzMsJKO6QHFOZgBYUJ3Gl-Qqxh0AaCnyGeHbT5e9udaOzXcTx6bKVm7o3BiOme3r7OnY266pYjb4bNm6agxDH6_JhbdtdDe_fU7en5fbxZpuXlcvi8cNrTiKkfpSWM4KJhwymYOoEZm3Mq-l86A5h6LgjmlZl77iJSiFda6sZWW6VTGu-ZzcTb77MHwdXBzNbjiEPq00LP2suFBSJAonqgpDjMF5sw9NZ8PRIJhTNmbKxiRXc8rGsKRhkyYmtv9w4c_5f9EPbc5kWg</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2007836876</pqid></control><display><type>article</type><title>The Relativistic Geometry and Dynamics of Electrons</title><source>SpringerLink Journals - AutoHoldings</source><creator>Atiyah, M. F. ; Malkoun, J.</creator><creatorcontrib>Atiyah, M. F. ; Malkoun, J.</creatorcontrib><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><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 &amp; 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>
fulltext fulltext
identifier ISSN: 0015-9018
ispartof Foundations of physics, 2018-02, Vol.48 (2), p.199-208
issn 0015-9018
1572-9516
language eng
recordid cdi_proquest_journals_2007836876
source SpringerLink Journals - AutoHoldings
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
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-05T10%3A42%3A27IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=The%20Relativistic%20Geometry%20and%20Dynamics%20of%20Electrons&rft.jtitle=Foundations%20of%20physics&rft.au=Atiyah,%20M.%20F.&rft.date=2018-02-01&rft.volume=48&rft.issue=2&rft.spage=199&rft.epage=208&rft.pages=199-208&rft.issn=0015-9018&rft.eissn=1572-9516&rft_id=info:doi/10.1007/s10701-018-0139-2&rft_dat=%3Cproquest_cross%3E2007836876%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2007836876&rft_id=info:pmid/&rfr_iscdi=true