Theoretical analysis derives novel path deviation equations for charged spinning particles, demonstrating consistency with standard geodesic deviations.
Bażański’s approach is extended and applied in the framework of Parametrized Absolute Parallelism (PAP) geometry and Einstein–Maxwell geometry. Two novel path deviation equations are deduced. The first equation is derived in the PAP geometry, and it incorporates two parameters. It could be used to investigate the deviation from charged spinning test particles’ trajectories in unified field theories. Three special cases are considered to confirm the viability of this equation. The second equation is deduced in Einstein–Maxwell geometry. It can be employed to investigate the deviation of charged particles from their trajectories in Einstein–Maxwell theory. Both new path deviation equations tend to the geodesic deviation equation under certain conditions.
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Mona M. Kamal (2026) studied this question.
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