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arXiv · hep-th/0105278

New insights in particle dynamics from group cohomology

V. Aldaya·J. L. Jaramillo·J. Guerrero
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Abstract

The dynamics of a particle moving in background electromagnetic and gravitational fields is revisited from a Lie group cohomological perspective. Physical constants characterising the particle appear as central extension parameters of a group which is obtained from a centrally extended kinematical group (Poincare or Galilei) by making local some subgroup. The corresponding dynamics is generated by a vector field inside the kernel of a presymplectic form which is derived from the canonical left-invariant one-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.

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V. Aldaya, J. L. Jaramillo, J. Guerrero. 2002-10-03. New insights in particle dynamics from group cohomology. https://doi.org/10.1088/0305-4470%2F35%2F45%2F101

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