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The Relativistic Geometry and Dynamics of Electrons

Foundations of Physics volume 48, pages 199–208 (2018)Cite this article

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.

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Acknowledgements

We thank Paul Sutcliffe and Wafic Sabra for some helpful comments related to dimensional analysis. Of course, Paul Sutcliffe was a key collaborator in the formulation of the Atiyah–Sutcliffe conjectures. The support of the Leverhulme Foundation is gratefully acknowledged.

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Authors and Affiliations

  1. School of Mathematics, University of Edinburgh, James Clerk Maxwell Building, King’s Buildings, Edinburgh, EH9 3FD, UK

    M. F. Atiyah

  2. Department of Mathematics and Statistics, Notre Dame University-Louaize, P.O.Box: 72, Zouk Mikael, Zouk Mosbeh, Lebanon

    J. Malkoun

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  1. M. F. Atiyah
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  2. J. Malkoun
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Correspondence to J. Malkoun.

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Atiyah, M.F., Malkoun, J. The Relativistic Geometry and Dynamics of Electrons. Found Phys 48, 199–208 (2018). https://doi.org/10.1007/s10701-018-0139-2

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  • DOI: https://doi.org/10.1007/s10701-018-0139-2

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