General Derivation of Mass-Energy Relation without Electrodynamics or Einstein’s Postulates
Mario Rabinowitz
Armor Research, Redwood City, CA, USA.
DOI: 10.4236/jmp.2015.69129   PDF   HTML   XML   5,886 Downloads   7,986 Views   Citations


The mass-energy equation  is derived in general from Newton’s equation of motion without use of electrodynamics, or Einstein’s Postulates which were presented in his superb 1905 paper on Special Relativity (SR). This was previously not thought to be possible. This novel derivation of an accelerated body of rest mass m0 is compared with the traditional SR inertial derivation. A discussion is given of pre-1905, electrostatic and electrodynamic derivations of the mass-energy relation yielding , as well as more recent ones. A concise pre-relativity history of the mass-energy relation is traced back to Newton in 1717.

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Rabinowitz, M. (2015) General Derivation of Mass-Energy Relation without Electrodynamics or Einstein’s Postulates. Journal of Modern Physics, 6, 1243-1248. doi: 10.4236/jmp.2015.69129.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] Newton, I. (1687) Philosophiae Naturalis Principia Mathematica [Mathematical Principles of Natural Philosophy] Vol. 1. The Motion of Bodies. Motte, A., Trans., University of California Press, Berkeley.
[2] Poynting, J.H. (1884) Philosophical Transactions of the Royal Society of London, 175, 343-361.
[3] Einstein, A. (1905) Annalen der Physik, 17, 891-921.
[4] Lorentz, H.A. (1892) Archives néerlandaises des sciences exactes et naturelles, 25, 363-552.
[5] Abraham, M. (1903) Annalen der Physik, 315, 105-179.
[6] Hasenöhrl, F. (1904) Wiener Sitzungsberichte, 113, 1039-1055.
[7] Hasenöhrl, F. (1904) Annalender Physik, 320, 344-370.
[8] Hasenöhrl, F. (1905) Annalen der Physik, 321, 589-592.
[9] Rabinowitz, M. (2014) Advanced Studies in Theoretical Physics, 8, 689-700.
[10] Hajra, S. (2012) Journal of Modern Physics, 3, 187-199.
[11] Rabinowitz, M. (2014) Advanced Studies in Theoretical Physics, 8, 1165-1176.
[12] Page, L. (1947) Introduction to Theoretical Physics. D. Van Nostrand, New York.
[13] Panofsky, W.K.H. and Phillips, M. (1955) Classical Electricity and Magnetism. Addison-Wesley Publishing Co., Reading, Mass.
[14] Newton, I. (1717) Opticks, or, a Treatise of the Reflections, Refractions, Inflections and Colours of Light, Query 30.

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