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arxiv: 0710.0301 · v1 · pith:HGK4XLLCnew · submitted 2007-10-01 · 🌀 gr-qc · hep-th

Spacetime: Arena or Reality?

classification 🌀 gr-qc hep-th
keywords chargespacetimeangulararenaextendedmassmodelmomentum
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For small values of the mass (in relation to the angular momentum and electric charge), the Kerr-Newman (KN) solution of Einstein equation reduces to a naked singularity of circular shape. By considering the Hawking and Ellis extended interpretation of the KN spacetime, as well as Wheeler's idea of "charge without charge", the non-trivial topological structure of the extended KN spatial section is found to represent gravitational states with half-integral angular momentum. As a consequence, it can be consistently interpreted as a model for the electron-positron system, in which the concepts of mass, charge and spin emerge from the spacetime geometry. According to this model, therefore, instead of a simple arena, spacetime must have a concrete existence, being responsible -- through its highly non-trivial topological structures -- for the building blocks of (at least some of) the existing matter in the universe.

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