Comments on "Finsler Geometry and Relativistic Field Theory"
We show that results obtained in paper Foundations of Physics 33, No. 7, 1107 (2003), are not correct.
arXiv subjects
Publications and source records attributed to Shervgi S. Shahverdiyev.
We show that results obtained in paper Foundations of Physics 33, No. 7, 1107 (2003), are not correct.
It is shown that Electromagnetism creates geometry different from Riemannian geometry. General geometry including Riemannian geometry as a special case is constructed. It is proven that the most simplest special case of General Geometry is geometry underlying Electromagnetism. Action for electromagnetic field and Maxwell equations are derived from curvature function of geometry underlying Electromagnetism. And it is shown that equation of motion for a particle interacting with electromagnetic field coincides exactly with equation for geodesics of geometry underlying Electromagnetism.
The existence of a local solution to the Sp(2) master equation for gauge field theory is proven in the framework of perturbation theory and under standard assumptions on regularity of the action. The arbitrariness of solutions to the Sp(2) master equation is described, provided that they are proper. It is also shown that the effective action can be chosen to be Sp(2) and Lorentz invariant (under the additional assumption that the gauge transformation generators are Lorentz tensors).