Time evolution in a geometric model of a particle

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.

arXiv comment18 pages

References in corpus (4)

• Brane Worlds in Collision
• Geometric Models of Matter
• Dirac operators on the Taub-NUT space, monopoles and SU(2) representations
• Gravitational instantons as models for charged particle systems

Cited by in corpus (8)

• Geodesic motion in Euclidean Schwarzschild geometry
• Taub-NUT Dynamics with a Magnetic Field
• Anyons in Geometric Models of Matter
• Geometric Models of Helium
• Zitterbewegung, internal momentum and spin of the circular travelling wave electromagnetic electron
• Spectral Properties of Schwarzschild Instantons
• Particle dynamics in spherically symmetric electro-vacuum instantons
• Michael Atiyah and Physics: the Later Years