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A gravitational extension of Dirac's "Extensible model of the electron" ispresented. The Dirac bubble, treated as a 3-dim electrically charged brane, isdynamically embedded within a 4-dim $Z_{2}$-symmetric Reissner-Nordstrom bulk.Crucial to our analysis is the gravitational extension of Dirac's branevariation prescription; its major effect is to induce a novel geometricallyoriginated contribution to the energy-momentum tensor on the brane. In turn,the effective potential which governs the evolution of the bubble exhibits aglobal minimum, such that the size of the bubble stays finite (Planck scale)even at the limit where the mass approaches zero. This way, withoutfine-tuning, one avoids the problem so-called 'classical radius of theelectron'.

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