DOI:
10.1088/0305-4470/35/45/101
Authors:
Aldaya, V; Jaramillo, JL; Guerrero, J
Journal:
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
Abstract:
The dynamics of a particle moving in background electromagnetic and gravitational. fields is revisited from a Lie group cohomological perspective. Physical constants characterizing the particle appear as central extension parameters of a group which is obtained from a centrally extended kinematical group (Poincare or Galilei) by making some subgroup local. The corresponding dynamics is generated by a vector field inside the kernel of a pre-symplectic form which is derived from the canonical left-invariant I-form on the extended group. A non-relativistic limit is derived from the geodesic motion via an Inonu-Wigner contraction. A deeper analysis of the cohomological structure reveals the possibility of a new force associated with a non-trivial mixing of gravity and electromagnetism leading to, in principle, testable predictions.
URL:
https://ui.adsabs.harvard.edu/#abs/2002JPhA...35L.627A/abstract