ELECTROMAGNETISM IN THE STANDARD MODEL
Abstract. This paper examines particularly the $U\left( 1\right) \times SU(2)$ of the Standard Model by focusing on the electromagnetic interaction term in the Lagrangian, which appears to be the electromagnetic waves of real photons, not the virtue photons as the force carriers of Maxwell Equations; while $%
\mathbf{E}$ and $\mathbf{B}$ are symmetric in the former, they are not in the latter, for $\mathbf{E}$ is a radial force and $\mathbf{B}$ is a sideways force. We give a review of the pull-back operation of a tensor for transformation of frames. We also derive Special Relativity from Maxwell Equations and we find that the vector potential $\mathbf{A}$ is a built-in mechanism of any electromagnetic wave to prevent it from exerting electric forces; i.e., $\mathbf{A}$ is responsible for photons being of no electric charges. Additionally, we show that Special Relativity determines the Lorentz gauge uniquely and that gauge transformations can be presented as frame transformations by an application of cohomology with differential forms as cast in our model of a combined spacetime 4-manifold of the Universe.
AMS Subject Classification: 81Q99, 78A25, 83A05, 81T13, 83C47, 57R25


Download full article from here (pdf format).

DOI: 10.12732/ijam.v28i5.7

Volume: 28
Issue: 5
Year: 2015