Lorentz equations of motion and a theory of connections in a principal bundle

Details Lorentz equations of motion and a theory of connections in a principal bundle Lorentz equations of motion and a theory of connections in a principal bundle

Feb 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987phrvd..35.1215g&link_type=abstract

Physical Review D (Particles and Fields), Volume 35, Issue 4, 15 February 1987, pp.1215-1224

Physics

4

Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity, Nonlinear Or Nonlocal Theories And Models

Scientific paper

The conjecture that unified nonlinear equations for gravitation and electromagnetism may lead directly to the Lorentz equation of motion for charged particles is discussed assuming a theory of connections on a principal bundle with SL(2,Q) as the structure group. It is shown that the Lorentz equation is a consequence of the field equations when the connection reduces to only one particular component, which may be identified with the electromagnetic potential. The proposed equations generalize, in a nontrivial way, the equations of gravitation and electrodynamics.

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