Abstract
We review the Einstein-Rosen program of building elementary particles in solitonic structures in singularity-free non-linear gauge invariant field theories. The role of gravity via general relativity is discussed. It is found that a zone of negative energy density surrounds the particle core which is indicated to be much larger than 10−33 cm. A model that encompasses the electron, muon and tau is found with particle sizes ~10~16 cm, within experimental limits. Spin and magnetic moment have the potential to be incorporated with fields of axial symmetry. The quarks can also be modelled, but thus far, two additional coupling constants have been required. The new approach of modelling the electron as a quantum soliton in Dirac-Maxwell theory is described. Preliminary results indicate an emerging wave function with characteristic spread of the order 10−16 cm.
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© 1991 Kluwer Academic Publishers
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Cooperstock, F.I. (1991). Non-Linear Gauge Invariant Field Theories of the Electron and Other Elementary Particles. In: Hestenes, D., Weingartshofer, A. (eds) The Electron. Fundamental Theories of Physics, vol 45. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3570-2_9
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DOI: https://doi.org/10.1007/978-94-011-3570-2_9
Publisher Name: Springer, Dordrecht
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