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
Hauptverfasser:	Atiyah, M. F., Malkoun, J.
Format:	Artikel
Sprache:	eng
Schlagworte:	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
Online-Zugang:	Volltext
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Zusammenfassung:	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.
ISSN:	0015-9018 1572-9516
DOI:	10.1007/s10701-018-0139-2