In the R-Minkowski space-time, which we recently defined from an appropriate deformed Poisson brackets that reproduce the Fock coordinate transformation, we derive an extended form for Maxwell's equations by using a generalized version of Feynman's approach. Also, we establish in this context the Lorentz force. As in deformed special relativity, modifying the angular momentum in such a way as to restore the R-Lorentz algebra generates the magnetic Dirac monopole.
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Univ Arizona, Dept Math, 617 N Santa Rita Ave,POB 210089, Tucson, AZ 85721 USAUniv Arizona, Dept Math, 617 N Santa Rita Ave,POB 210089, Tucson, AZ 85721 USA
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Delaware State Univ, Dept Math Sci, Dover, DE 19901 USADelaware State Univ, Dept Math Sci, Dover, DE 19901 USA
Liu, Jinjie
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Brio, Moysey
Moloney, Jerome V.
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Univ Arizona, Arizona Ctr Math Sci, Tucson, AZ 85721 USA
Univ Arizona, Dept Math, Tucson, AZ 85721 USADelaware State Univ, Dept Math Sci, Dover, DE 19901 USA
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Department of Physics,Faculty of Science,University of Khartoum,Khartoum 11115,SudanDepartment of Physics,Faculty of Science,University of Khartoum,Khartoum 11115,Sudan