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Time evolution in a geometric model of a particle

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arxiv 1412.5915 v1 pith:4RQUUPEO submitted 2014-12-18 hep-th gr-qcmath-phmath.MP

Time evolution in a geometric model of a particle

classification hep-th gr-qcmath-phmath.MP
keywords diracgeometricmodelsolutionsanalysebackgrounddimensionaldiscuss
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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.

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