General Relativity and Gravitation

, Volume 23, Issue 7, pp 827–841

Some electromagnetic consequences of a geometric unified theory of gravitation and electromagnetism

Authors

  • Gustavo González-Martín
    • Departamento de FísicaUniversidad Simón Bolivar
Research Articles

DOI: 10.1007/BF00755997

Cite this article as:
González-Martín, G. Gen Relat Gravit (1991) 23: 827. doi:10.1007/BF00755997
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Abstract

The geometrical unified theory of gravitation and electromagnetism discussed in previous publications requires that electromagnetism be represented by an SU(2) subgroup. Electric matter should correspond to irreducible representations of the structure group, SL(4,ℝ), induced from its compact subgroup, rotation SU(2)x electromagnetic SU(2). Results predict the quantization of electric charge, magnetic flux and angular momentum without requiring magnetic monopoles. Unexpectedly, the necessary quanta of charge and flux imply fractional quantization of transverse resistance, under certain conditions (Fractional Quantum Hall Effect).

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© Plenum Publishing Corporation 1991