@article{Fabbri_2020, title={A Introduction to the Classical Spiral Electrodynamics: The” Spiral-Spin”}, volume={17}, url={https://rajpub.com/index.php/jap/article/view/8494}, DOI={10.24297/jap.v17i.8494}, abstractNote={<p>This paper demonstrates the existence of analytical solutions of the Lorentz equation for charged particles in “uniform pilot time-varying magnetic fields". These analytical solutions represent a temporal generalization of the Larmor’s orbits and are expressed through a Schwarz-Christoffel spiral mapping or in spiral coordinates.</p> <p>The concepts of "spiral-spin” moment and "polar-spiral" angular momentum are then presented, the existence of a subclass of solutions for which these two angular moments are conserved is demonstrated.</p> <p>It is also shown that under the action of the "pilot fields," there exist particular trajectories for which the charged particles have a "spiral-spin" momentum constant proportional to +1/2 (solution named "spiral-spin-up ") and -1/2 (solution named "spiral-spin-down "), respectively.</p> <p>The results are in full agreement with the ideas of L.DeBroglie and A. Einstein on the possible existence of pilot fields able to describe the physical reality deterministically.</p> <p>Finally, the solution of the Lorentz equation is discussed with the WKB (Wentzel-Kramers-Brillouin) method for a superposition of two uniform magnetic fields with the same direction, the first constant and the second time-varying.</p>}, journal={JOURNAL OF ADVANCES IN PHYSICS}, author={Fabbri, Italo Mario}, year={2020}, month={Feb.}, pages={101–116} }