Aharon Davidson and Shimon Rubin 2009 Class. Quantum Grav. 26 235006 doi:10.1088/0264-9381/26/23/235006
Brane gravitational extension of Dirac's 'extensible model of the electron'
Aharon Davidson and Shimon Rubin
Show affiliationsA gravitational extension of Dirac's 'extensible model of the electron' is presented. The Dirac bubble, treated as a three-dimensional electrically charged brane, is dynamically embedded within a four-dimensional Z2-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'.
- PACS
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04.50.-h Higher-dimensional gravity and other theories of gravity
- MSC
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83D05 Relativistic gravitational theories other than Einstein's, including asymmetric field theories
83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
- Subjects
- Dates
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Issue 23 (7 December 2009)
Received 6 July 2009, in final form 29 September 2009
Published 6 November 2009
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Brane gravitational extension of Dirac's 'extensible model of the electron'
Aharon Davidson and Shimon Rubin 2009 Class. Quantum Grav. 26 235006
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