Abstract
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.
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References
V. F. Mikhailov, Ann. Fond. L. de Broglie 24, 161 (1999) and 28, 231 (2003).
H. Helmholtz Particlevon (1872) Phil. Mag. 44 530
W. Weber (1892–1894) Werke Springer Berlin
A. K. T. Assis (1994) Weber’s Electrodynamics Kluwer Dordrecht
O. Costa de Beauregard (1995) ‘‘Electromagnetic Gauge as Integration Condition” T. W. Barrett D. M. Grimes (Eds) Advanced Electrodynamics World Scientific Singapore 77–104
O. Costa de Beauregard (1997) Phys. Essays 10 492–646 Occurrence Handle10.4006/1.3036436
E. Mach (1926) The Science of Mechanics Open Court La Salle
D. W. Sciama (1953) Month. Not. Roy. Astron. Soc. 113 34 Occurrence Handle0051.20005 Occurrence Handle1953MNRAS.113...34S Occurrence Handle59668
J. F. Woodward T. Mahood (1999) Found. Phys. 29 899 Occurrence Handle1713767
M. F. Tisserand (1872) C. R. Ac. Sci. 75 760
O. Costa de Beauregard (2000) Found Phys. Lett. 13 395
L. Broglie Particlede (1972) C. R. Ac. Sci. 275B 899
R. Lucas (1976) C. R. Ac. Sci. 282B 43 Occurrence Handle1976CRASB.282...43L
O. Costa de Beauregard (2003) Ann. Fond. L. de Broglie 38 77 Occurrence Handle2019162
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Beauregard, O.C.D. To Believe or Not Believe in the 4-Potential, That’s a Question. The Electric Helmholtz–Mikhailov Effect and its Magnetic Analog. Found Phys 34, 1923–1928 (2004). https://doi.org/10.1007/s10701-004-1627-0
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DOI: https://doi.org/10.1007/s10701-004-1627-0