Electrodynamics in Noninertial Metrices Predicts Entirely New Origin of 4-Dimensional Electromagnetic Wave

Naveed Hussain¹, Husnain Abdullah Hussain² and Ather Qayyum^3,

¹Department of Physics, Punjab College Abdul Hakeem, Multan Division, Pakistan

²Department of Physics, MNS University of Engineering and Technology, Multan, Pakistan

³Department of Mathematics, Institute of Southern Punjab Multan, Pakistan

Cite this paper:
Naveed Hussain, Husnain Abdullah Hussain and Ather Qayyum. Electrodynamics in Noninertial Metrices Predicts Entirely New Origin of 4-Dimensional Electromagnetic Wave. International Journal of Physics. 2023; 11(4):193-230. doi: 10.12691/ijp-11-4-5

Abstract

Electrodynamics in noninertial metrices based on unified transformation law (UTL) for 4-vectors and tensors inherit new origin of 4D electromagnetic (EM) wave, complete form of 4D Lorentz force that is not possible in usual Lorentz Transformation (LT) and Galilean transformation (GT). Noninertial metrices consist of vacuum metric in terms of numbers, velocity and acceleration. Minkoskian metric is a special case of vacuum metric. As a consequence of transformation, a new symmetry appeared along the diagonal of electromagnetic field (EMF), Maxwell’s equations (ME) and conservation law in terms of tensors resulted in the complete symmetrization of Maxwell’s equations. The most beautiful consequence is the emergence of these singularities as complete 4D EM wave along the diagonal in the conservation law of electrodynamics for the first time. In noninertial metric transformation of Gauss’s law gives the combination of Gauss’s and Ampere’s law. Similarly, Ampere’s law gives the similar result. As a whole, electrodynamic quantities are doubled implies that noninertial metric is causing pair production. Similarly, electrodynamics in noninertial metric in terms of velocity incorporate 4D Lorentz force as a natural part of electrodynamics. For consistency with the classical electrodynamics, usual Lorentz transformation is generalized from 2D to 4D that gives the same results as that of velocity metric with a difference of Lorentz factor γ given in the Table 3. The results of electrodynamics in accelerating metric are very exciting predicts the possibility of electromagnetic energy driven engine. Matrix method and Einstein’s summation convention method are applied. Both methods agree in the transformation of EMF and ME but differ in the case of conservation law. Theory of inertia and gravitation possess the same formulation. Thomas precession relation is obtained in dual of Lorentz force of inertia as special case. It is also present in generalized LT in the same manner but with Lorentz factor. SR in noninertial frame is presented shortly.

Keywords:
Noninertial metrices new origin of 4D EM wave New gauge Origin of 4d Lorentz force generalized Lorentz transformation Thomass precession wonders of accelerating metric electromagnetic energy driven engine SR in Noninertial frame

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