Time evolution in a geometric model of a particle

M. F. Atiyah, G. Franchetti, B. J. Schroers*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)
82 Downloads (Pure)


We analyse the properties of a (4+1)-dimensional Ricci-flat spacetime which may be viewed as an evolving Taub-NUT geometry, and give exact solutions of the Maxwell and gauged Dirac equation on this background. We interpret these solutions in terms of a geometric model of the electron and its spin, and discuss links between the resulting picture and Dirac’s Large Number Hypothesis.

Original languageEnglish
Pages (from-to)1-16
JournalJournal of High Energy Physics
Issue number62
Early online date15 Feb 2015
Publication statusPublished - Feb 2015


  • Differential and Algebraic Geometry
  • Duality in Gauge Field Theories
  • Solitons Monopoles and Instantons


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