Brane Gravitational Extension of Dirac's "Extensible Model of the Electron"

Details Brane Gravitational Extension of Dirac's "Extensible Model of the Electron" Brane Gravitational Extension of Dirac's "Extensible Model of the Electron"

2009-07-07

arxiv.org/abs/0907.1189v2

Class.Quant.Grav.26:235006,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 PRD pages, 4 figures; References added

Scientific paper

10.1088/0264-9381/26/23/235006

A gravitational extension of Dirac's "Extensible model of the electron" is presented. The Dirac bubble, treated as a 3-dim electrically charged brane, is dynamically embedded within a 4-dim $Z_{2}$-symmetric Reissner-Nordstrom bulk. Crucial to our analysis is the gravitational extension of Dirac's brane variation prescription; its major effect is to induce a novel geometrically originated contribution to the energy-momentum tensor on the brane. In turn, the effective potential which governs the evolution of the bubble exhibits a global minimum, such that the size of the bubble stays finite (Planck scale) even at the limit where the mass approaches zero. This way, without fine-tuning, one avoids the problem so-called 'classical radius of the electron'.

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