Abstract
The observation of magnetic monopoles would lead to a symmetrization of
Maxwell’s equations and provide explanations of fundamental properties
such as the quantization of electric charge. Yet, in four dimensions,
the covariant electromagnetic field tensor yields an action whose
resulting field equations establish the absence of a magnetic charge. We
here study the existence of magnetic monopoles in an extended
space–time with a second time dimension, and construct the
higher-dimensional gauge potential. This motivates the use of the
Kalb–Ramond field, upon which a Kaluza–Klein-like reduction is performed
under the assumption that the two time dimensions have no
co-dependency. The resulting 5D electrodynamics contains a generalized
version of Maxwell’s equations which contain magnetic charge densities
whose source potential obeys a five-dimensional wave equation. As a
second time dimension only acts on small length scales in the order of
the Planck length, we provide a theory with symmetrized Maxwell’s
equations including magnetic monopoles which do not violate current
experimental evidence. We finally discuss the subsequent quantization of
the electric charge as well as the weak interaction, equivalent to the
violation of time reversal.
Original language | English |
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Article number | 2250141 |
Journal | International Journal of Modern Physics A |
Volume | 37 |
Issue number | 23 |
ISSN | 0217-751X |
DOIs | |
Publication status | Published - 2022 |
Keywords
- Magnetic monopoles
- Two time theories
- Field theory
- Physics in extended space–time
- Time dimensions
- Kaluza–Klein
- Kalb–Ramond field
- Electrodynamics