To Believe or Not Believe in the 4-Potential, That’s a Question. The Electric Helmholtz–Mikhailov Effect and its Magnetic Analog

摘要

Helmholtz’ electrically induced extra mass inside a charged hollow sphere, recently evidenced by Mikhailov, is analogous to Mach’s inertial mass. Existence of a corresponding magnetically induced extra mass in an electron flying around an “autistic magnet” is derived. The overall electro-magnetic effect can be covariantly expressed.