# The Origin of the Equation E = mc2

//The Origin of the Equation E = mc2

Because the issue of the source of this equation keeps coming up, here is a quick discussion of the origin of the famous formula, incorrectly attributed to Einstein. Thanks to Robert Sungenis for providing this.

Contrary to popular opinion, E = mc2 did not originate with Einstein. As van der Kamp reveals:

And then that hackneyed combination of Einstein and the “E = mc2,” endlessly bandied about in popular-scientific Western folklore! True, it can be deduced from the theory, but it does not prove STR

[Special Theory of Relativity], and does not depend on it, as Einstein himself has admitted. That formula has been derived in at least three non-relativistic ways, and abandonment of STR will leave that Bomb-equation unharmed. Even in a vague manner, to think that somehow Hiroshima in a most horrible way has confirmed the theory to be right is unwarranted[1]

As for the origin of the formula, it wasn’t until five years before his death (1955) that Einstein publicly attributed the basis of E = mc2 to the 1862 charge-momentum field equations of James Clerk Maxwell[2] Previous to Maxwell was the work of J. Soldner who assigned mass to light and thus could calculate its deflection in a gravitational field[3] Michael Faraday’s 1831 experiments with electricity and induction coils had already introduced the energy/mass relationship, and Maxwell put this in the reciprocal m = E/c2 equation[4] In fact, one can go back as far as Isaac Newton in 1704 for the theoretical relationship between mass and energy[5] Samuel Tolver Preston used the formula in 1875[6] Julius Robert Mayer put the formula in terms of ether pressure[7]

A curious twist in this saga occurs in 1881 with J. J. Thomson in his work with charged spherical conductors in motion, since he derived a slightly higher coefficient, E = 4/3mc2 [8] The same E = 4/3mc2 was found by F. Hasenöhrl in 1904 when he published the first explicit statement that the heat energy of a body increases its “mechanical” mass[9] The 1905 Nobel Prize winner, Philipp Lenard, a staunch opponent of Einstein, was one of the first to reveal this fact in his 1921 book Ether and Para-ether.[10] In the book, Lenard demonstrated how simple it was to arrive at E = mc2 without any reference to Relativity theory – something Einstein would also admit a few years prior to his death. In his 1929 book Energy and Gravitation, Lenard honored Hasenöhrl as “the first to demonstrate that energy possesses mass (inertia).”[11]

The history of the 4/3 coefficient is intriguing. Arthur Miller shows both its origin and how Einstein sought to remove it. Although Einstein purports to have legitimately removed it, Miller shows he did not succeed. Einstein had attributed the excess 1/3 to mechanical constraints, but Poincaré had demonstrated earlier that it was due to forces that avoid the explosion of the electron.[12] Engrossed in his General Relativity theory, Einstein did not visit the problem again. Max Von Laue demonstrated that to obtain the final formula E = mc2 “one type of energy…the new physics must eliminate from its list…is kinetic energy.”[13] The reason is that if mass is based on energy, as E = mc2shows, then there cannot be a kinetic energy, K = ½mv2, which, in turn, depends on the mass. In other words, to obtain E = mc2 one must abandon the most obvious and primary form of energy, kinetic energy.[14]

Prior to this, in 1889 Oliver Heaviside used the E = mc2 principle in his work with capacitors.[15] Henri Poincaré used the rudiments of the E = mc2 formula long before Einstein commandeered it for his Special and General Relativity theories.[16] In 1903 the Italian scientist Olinto De Pretto had already published E = mc2 two years before Einstein did, but Einstein did not mention De Pretto in his 1905 paper on Special Relativity, which is odd considering that he spoke fluent Italian and, by his own admission, read all the Italian physics journals.[17] In 1907, Max Planck, expanding the work of Hasenöhrl and using Poincaré’s momentum of radiation formula, gave the final derivation of the E = mc2 formula.[18] All in all, E = mc2 is readily derivable apart from the theory of Relativity, as both Joseph Larmor in 1912; Wolfgang Pauli in 1920, Philipp Lenard in 1921, and M. Simhony in 1994, demonstrated independently.[19]

## References

[1] De Labore Solis, p. 51. Van der Kamp cites Carl A. Zappfe’s A Reminder on E = mc2 for the “three non-relativistic ways,” but there are actually a half dozen or more paths to the formula. See text and footnotes.[2] Albert Einstein, Out of My Later Years, Philosophical Library, New York, viii, 282, 1950. Also Edward Schilpp’s, Albert Einstein, Philosopher Scientist, Library of Living Philosophers, 1949, p. 62, has Einstein quoted as saying: “The special theory of relativity owes its origin to Maxwell’s Equations of the electromagnetic field.”[3] J. Soldner, Berliner Astronomisches Jahrbuch, 1804, p. 161. Also cited in Annalen der Physik, 65:593, 1921.[4] The derivation of E = mc2 originates from Maxwell’s formula [ f = δE/cδt ] which equates the force exerted on an absorbing body at the rate energy is received by the body. Since force is also the rate of the change of momentum of the body, which, by the conservation of momentum, is also the rate of change in the momentum of the radiation, the momentum lost by the radiation is equal to 1/c times the energy delivered to the body, or M = E/c. If the momentum of the radiation of a mass is M times the velocity c of the radiation, the equation m = E/c2 is derived.[5] In Newton’s Query 30 he writes: “Gross bodies and light are convertible into one another…” (Opticks, Dover Publications, Inc., New York, p. cxv). Newton’s Opticks also reveal that he believed gravity would bend light. This is further evidence that many of Einstein’s ideas are not original. Stephen Hawking adds that “a Cambridge don, John Michell, wrote a paper in 1783 in the Philosophical Transactions of the Royal Society of London in which he pointed out that a star that was sufficiently massive and compact would have such a strong gravitational field that light could not escape…A similar suggestion was made a few years later by the French scientist the Marquis de Laplace…” (A Brief History of Time, pp. 81-82).[6] Preston’s purpose in the paper Physics of the Ether was to dispel Newton’s spiritualistic notion of “action-at-a-distance” and replace it with the mechanical concept of ether. The total force required in Preston’s following example is said to be equivalent to E = mc2.

To give an idea, first, of the enormous intensity of the store of energy attainable by means of that extensive state of subdivision of matter which renders a high normal speed practicable, it may be computed that a quantity of matter representing a total mass of only one grain, and possessing the normal velocity of the ether particles (that of a wave of light), encloses a store of energy represented by upwards of one thousand millions of foot-tons, or the mass of one single grain contains an energy not less than that possessed by a mass of forty thousand tons, moving at the speed of a cannon ball (1200 feet per second); or other wise, a quantity of matter representing a mass of one grain endued with the velocity of the ether particles, encloses an amount of energy which, if entirely utilized, would be competent to project a weight of one hundred thousand tons to a height of nearly two miles (1.9 miles).” (S. T. Preston, Physics of the Ether, E. & F. N. Spon, London, 1875, #165).