The Maxwell Electromagnetic Equations and the Lorentz Type Force Derivation—The Feynman Approach Legacy

Abstract

R. Feynman's "heretical" approach (Dyson in Am. J. Phys. 58:209-211, 1990; Dyson in Phys. Today 42(2):32-38, 1989) to deriving the Lorentz force based Maxwell electromagnetic equations is revisited, the its complete legacy is argued both by means of the geometric considerations and its deep relation with the vacuum field theory approach Keywords Feynman's approach · Lorentz force · Relativistic electrodynamics · Least action principle · Lagrangian and Hamiltonian analysis "A physicist needs that his equations should be mathematically sound and that in working with his equations he should not neglect quantities unless they are small" (P.A. M. Dirac)

Influence of magnetic fields on calcium carbonate scaling in aqueous solutions at 150 °C and 1 bar

“…Furthermore, as a charged particle travels through a magnetic field, the particle will experience a force (the Lorentz force). The Lorentz force acts upon a charged particle according to the 'right hand rule' and indicates that a charged particle travelling through a magnetic field will undergo a deviation in its trajectory perpendicular to the magnetic field and axis of movement [47,48]. The extent of the force exerted upon a charge particle can be estimated through Equation 1 and is dependent upon the particles charge, whether positive or negative, its velocity as it travels through the magnetic field and the strength of the magnetic field itself [49].…”

“…Furthermore, when exposed to a magnetic field of greater flux density, the resulting Lorenz's force generated upon that particle will be greater than that produced by magnetic fields of lesser density. [47,48]. The first and second concepts discussed are critical to understanding the relationship between magnet fields and the behavior of exposed molecules.…”

Time Dilation as Field

“…Maxwell has defined electrom by sremains [5]. Let us do the same, but eliminating test body while motion and time flow remains.…”

The Quantum Fermionic Charged Particle Self-Interaction Problem within the Fock Multitime and Feynman Proper Time Paradigms

“…In the present work, we mostly concentrate on the detailed quantum and classical analyses of the self-interacting shell model charged particle within the Fock multitime approach [21,31] time paradigm [22,23,28,29] subject to deriving the electromagnetic Maxwell equations and the related expression for a Lorentz-like force within the vacuum field theory approach devised in works [8,10,[15][16][17][18][32][33][34]. Furthermore, we will explain and apply the obtained results to treating the classical Lorentz-Abraham [1,44,45,[48][49][50][51][52]54,57,58,60,65,67,73,74,76,79] electromagnetic mass origin problem.…”