Abstract
We review new electrodynamics models of interacting charged point particles and related fundamental physical aspects, motivated by the classical A.M. Ampère magnetic and H. Lorentz force laws electromagnetic field expressions. Based on the Feynman proper time paradigm and a recently devised vacuum field theory approach to the Lagrangian and Hamiltonian, the formulations of alternative classical electrodynamics models are analyzed in detail and their Dirac type quantization is suggested. Problems closely related to the radiation reaction force and electron mass inertia are analyzed. The validity of the Abraham-Lorentz electromagnetic electron mass origin hypothesis is argued. The related electromagnetic Dirac–Fock–Podolsky problem and symplectic properties of the Maxwell and Yang–Mills type dynamical systems are analyzed. The crucial importance of the remaining reference systems, with respect to which the dynamics of charged point particles is framed, is explained and emphasized.
Highlights
Introductory SettingClassical electrodynamics is nowadays considered [1,2,3,4] as the most fundamental physical theory, largely owing to the depth of its theoretical foundations and wealth of experimental verifications
In this work we describe a new approach to the classical Maxwell theory, based on a vacuum field medium model, and reanalyze some of the modern classical electrodynamics problems related with the description of a charged point particle dynamics under an external electromagnetic field
In the vacuum field theory approach to combining electromagnetism and gravity, devised in [18,19], the main vacuum potential field function W : M 4→ R, related to a charged point particle ξ under the external stationary distributed field sources, satisfies the dynamical Equation (1.29), namely d (−Wu) = −∇Wdt in the case when the external charged particles are at rest, where, as above, u := dr/dt is the particle velocity with respect to some reference system
Summary
It is well known that Maxwell equations, which are fundamental in modern physics, allow two main forms of representations: either by means of the electric and magnetic fields or by the electric and magnetic potentials. As there exist different approaches to explaining this reaction radiation phenomenon, we mention here only the most popular ones such as the Wheeler–Feynman [75] “absorber radiation” theory, based on a very sophisticated elaboration of the retarded and advanced solutions to the nonuniform Maxwell equations, the vacuum Casimir effect approach devised in [25,76], and the construction of Teitelbom [77] which extensively exploits the intrinsic structure of the electromagnetic energy tensor subject to the advanced and retarded solutions to the nonuniform Maxwell equations It is worth mentioning here very the nontrivial development of the Teitelbom’s theory devised recently in [78,79] and applied to the non-abelian Yang–Mills equations, which are natural generalizations of the Maxwell equations. Taking this state of art into account, we will reanalyze the structure of the “radiative” Lorentz type force (3.3) using the vacuum field theory approach of Section 1 and find that this force allows some natural slight modification
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
