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paper

Time evolution in a geometric model of a particle

arXiv:1412.5915 · doi:10.1007/JHEP02(2015)062

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.

18 pages