Unified Theory of Fundamental Interactions

  • Behram Kursunoglu
Part of the Studies in the Natural Sciences book series (SNS, volume 5)


The field equations of the generalized theory of gravitation which were proposed over 20 years ago by this author have now been solved for the static spherically symmetric case. It is found that electric and magnetic charges are two fundamental constants of integration and that the corresponding electric, magnetic and gravitational fields are regular everywhere only if the magnetic charge g ≠ 0. The magnetic charge g assumes an infinite spectrum of values and is a function of mass. For g = 0, the solutions reduce to the Nordström solution of general relativity in the limit of large r. The theory leads to elementary particles of finite self-energy \((\Delta ( \pm E) = m{c^2} - \frac{{{{(2{g_o})}^2}}}{{{\ell _o}}})\) and binding energy. The structure of an elementary particle which is due to the existence of finite ±g consists of a magnetically neutral core of matter containing a distribution of magnetic charge density in stratified layers of sharply decreasing magnitude and alternating signs so that magnetic monopoles associated with a long range field do not exist. As a consequence of the general covariance of the theory the surfaces of zero magnetic charge density in the core of an elementary particle have an indeterminacy. These facts lead to a mass spectrum for the elementary particles. In addition to charged electric and magnetic currents, the theory yields electrically and magnetically neutral currents and the corresponding fields. The neutral current and the corresponding neutral field are the classical counterparts of the vacuum polarization in quantum electrodynamics. For every positive energy solution there exists also a negative energy solution with the corresponding electric and magnetic charges. For g = 0, the volume integral of the neutral electric current density diverges. The assymmetry of Maxwell’s equations with regard to the absence of a magnetic current can be understood because the neutral and charged magnetic currents are localized in the core of elementary particle generating short range fields alone.

Furthermore, the theory yields two lengths of the dimensions of 10−25 cm and 10−15 cm which could serve to differentiate between leptonic and hadronic processes as well as a length 10−34 cm referring to the minimum size to which an elementary particle could have collapsed (micro-black-holes).

The presence of negative energy solutions along with positive energy solutions point to a large scale symmetry with respect to a distribution of matter and antimatter in the universe.


Field Equation Gravitational Field Fundamental Interaction Unify Theory Magnetic Charge 


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Copyright information

© Plenum Press, New York 1974

Authors and Affiliations

  • Behram Kursunoglu
    • 1
  1. 1.Center for Theoretical StudiesUniversity of MiamiCoral GablesUSA

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