Erratum: Nonsymmetric unified field theory [Phys. Rev. D62, 024026 (2000)]

Quaternion-Octonion Analyticity for Abelian and Non-Abelian Gauge Theories of Dyons

“…In this theory we have replaced the internal transformation C ν by generalized gauge potential V ν of dyons. It has been shown that the anti-symmetric part of the metric leads to generalized field equations of dyons discussed by (39). Accordingly, we have obtained the electric and magnetic field tensors from the generalized one for dyons as discussed by (40).…”

“…Because the antisymmetric part has been described as further complex quantity, our theory removes the conflicts that Maxwell tensor is real or imaginary and leaves all other good points of ES or NGT metric untouched. The Dyon field tensor is expressed by (35) and (36) in terms of electromagnetic field strengths associated with electric and magnetic sources. In this theory we have replaced the internal transformation C ν by generalized gauge potential V ν of dyons.…”

“…Equation (37) gives the following decompositions of electric and magnetic field strengths of dyons i.e.…”

“…which satisfies the generalized Maxwell's-Dirac equation for dyonic fields given (39). As such, without disturbing the real part of the non-symmetric ES metric (taking it as gravity) we have successfully extended its imaginary part corresponding to the generalized fields of dyons in order to reformulate the self-consistent and manifestly covariant theory of dyons.…”

Conservation laws in a metric nonsymmetric theory of gravitation

“…We will show that the surface integral vanishes, 2) leading to the four conservation of energy and momentum within the boundary taken…”