Physics – Mathematical Physics
Scientific paper
2009-09-29
Physics
Mathematical Physics
58 pages, expanded and updated
Scientific paper
Analysis of the original Feynman's formula for a moving point charge leads to the notion of a retarded time, which has to be treated as a field. The Lorentzian frame, the trajectory, and the retarded time field uniquely determine a system of fields over the frame, which the author calls the fundamental fields. By means of these fields one can represent and establish relations between the wave, Lorentz gauge, and Maxwell equations, and to prove that electromagnetic field generated by Lienard-Wiechert potentials, and the fields represented by the amended Feynman's formula coincide, and both fields satisfy Maxwell equations and homogenous wave equations. One of the main results is contained in Bogdan-Feynman Theorem for a moving point mass combining all important aspects of the development into a single mathematical theorem. This theorem leads, for instance, to a field generated by a point mass, that in its rest frame represents Newton's gravity field, if neglecting the constant of proportionality. The rest of the paper is devoted to the study of n-body problems for various general relativistic force fields and to prove the existence and uniqueness of solutions. Such problems lead to nonanticipating differential equations, solutions of which depend not only on the initial data, but also on the initial trajectory of the entire system of bodies. To analyze such equations author develops a theory of nonanticipating uniformly Lipschitzian operators on trajectories of such systems.
No associations
LandOfFree
Fields generated by a moving relativistic point mass and mathematical correction to Feynman's law does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Fields generated by a moving relativistic point mass and mathematical correction to Feynman's law, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fields generated by a moving relativistic point mass and mathematical correction to Feynman's law will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-664366