Lorentz force and ponderomotive force in the presence of a minimal length
Abstract
In this work, according to the electromagnetic field tensor in the framework of generalized uncertainty principle (GUP), we obtain the Lorentz force and Faraday’s law of induction in the presence of a minimal length. Also, the ponderomotive force and ponderomotive pressure in the presence of a measurable minimal length are found. It is shown that in the limit β → 0, the generalized Lorentz force and ponderomotive force become the usual forms. The upper bound on the isotropic minimal length is estimated.
 Publication:

International Journal of Geometric Methods in Modern Physics
 Pub Date:
 September 2017
 DOI:
 10.1142/S0219887817500050
 arXiv:
 arXiv:1612.03739
 Bibcode:
 2017IJGMM..1450005K
 Keywords:

 Phenomenology of quantum gravity;
 generalized uncertainty principle;
 minimal length;
 Lorentz force;
 ponderomotive force;
 04.60.Bc;
 03.50.De;
 07.79.Pk;
 52.35.Fp;
 Phenomenology of quantum gravity;
 Classical electromagnetism Maxwell equations;
 Magnetic force microscopes;
 Electrostatic waves and oscillations;
 Physics  General Physics
 EPrint:
 International Journal of Geometric Methods in Modern Physics (2016)