Hajjawi S and Buitrago J 2007 J. Phys.: Conf. Ser. 66 012017 doi:10.1088/1742-6596/66/1/012017
Hajjawi S and Buitrago J
Show affiliationsWe here show that the special, relativistic dynamical equation of the Lorentz-force-type, usually considered as a semi-empyrical result, arises from the geometry of the Minkowski-Space-Time. By re-formulating this result in spinorial lenguage, regarding spinors as being more fundamental objects than four-vectors, we obtain a set of dynamical Weyl spinors equations inducing this Lorentz-force-like-equation and geometrically obtain the spinorial form of the Electromagnetic Tensor. This representation alone actually reveals some properties of the free electromagnetic field that, within the context of the standard tensorial calculus, are known only by solving the second-order, partial-di.erential wave equation. Finally, we find that the spinorial equations of motion obtained, inducing the Lorentz-force-equation, do not only describe the evolution of the four-momentum but, surprisingly, also that of some additional degrees of freedom that may be associated to an intrinsic angular momentum.
Issue 1 (2007)
Hajjawi S and Buitrago J 2007 J. Phys.: Conf. Ser. 66 012017
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