English

Time evolution in a geometric model of a particle

High Energy Physics - Theory 2015-06-23 v1 General Relativity and Quantum Cosmology Mathematical Physics math.MP

Abstract

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.

Keywords

Cite

@article{arxiv.1412.5915,
  title  = {Time evolution in a geometric model of a particle},
  author = {Michael Atiyah and Guido Franchetti and Bernd Schroers},
  journal= {arXiv preprint arXiv:1412.5915},
  year   = {2015}
}

Comments

18 pages

R2 v1 2026-06-22T07:37:00.613Z