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It is universally believed that with his 1905 paper "Does the inertia of a body depend on its energy content?" Einstein first demonstrated the equivalence of mass and energy by making use of his special theory of relativity. In the final…

History and Philosophy of Physics · Physics 2024-08-19 Tony Rothman

The mass-energy formula E=mc^2 is thought to be derived by Einstein from special relativity. The present study shows that since the formula has also been derived from classical physics by Einstein, it is not an exclusively relativistic…

General Physics · Physics 2015-10-02 Qing-Ping Ma

In 1905, Einstein discovered the famous equation: E=mc^2, which means that the rest mass of a particle is some kind of energy. This energy is generally referred to as "rest energy", since the particle is believed to be at rest. This paper…

General Physics · Physics 2013-07-02 E. R. Cazaroto

Although Einstein's name is closely linked with the celebrated relation E = mc2 between mass and energy, a critical examination of the more than half dozen "proofs" of this relation that Einstein produced over a span of forty years reveals…

History and Philosophy of Physics · Physics 2008-08-14 Hans C. Ohanian

The Einstein's mass-energy relation $E=mc^2$ is one of the most fundamental formulae in physics, but it has not been seriously tested by an elaborated experiment, and only some indirect evidences in nuclear reaction suggested that it holds…

High Energy Physics - Theory · Physics 2018-01-09 Ying-Qiu Gu

The energy-mass content of Einstein's E = mc^{2} is well known. For a fixed value of mass, E = mc^{2} is an energy-momentum relation which takes the form E = \sqrt{m^{2} + p^{2}}. This relation was formulated in 1905 for point particles.…

Quantum Physics · Physics 2007-05-23 Y. S. Kim

The equivalence of mass and energy is indelibly linked with relativity, both by scientists and in the popular mind. I prove that E = mc^2 by demanding momentum conservation of an object that emits two equal electromagnetic wave packets in…

Astrophysics · Physics 2007-05-23 Andrew Gould

Since the appearance of Einstein's paper {\em"On the Electrodynamics of Moving Bodies"} and the birth of special relativity, it is understood that the theory was basically coded within Maxwell's equations. The celebrated mass-energy…

General Relativity and Quantum Cosmology · Physics 2022-04-06 Alejandro Perez , Salvatore Ribisi

There are several ways to derive Einstein's celebrated formula for the energy of a massive particle at rest, $E=mc^2$. Noether's theorem applied to the relativistic Lagrange function provides an unambiguous and straightforward access to…

Classical Physics · Physics 2023-08-08 A. V. Nenashev , S. D. Baranovskii , F. Gebhard

In 1905, Einstein carried out his first derivation of the mass-energy equivalence by studying in different reference frames the energy balance of a body emitting electromagnetic radiation and assuming special relativity as a prerequisite.…

General Physics · Physics 2022-09-14 Germano D'Abramo

Einstein's most famous equation -- $E=mc^2$ -- generated a short-circuit between the concepts of mass and energy, which also affects other concepts like matter, radiation, and vacuum. Physics currently has a mixture of classical,…

General Physics · Physics 2021-07-21 Luigi Foschini

We study influence of gravitational field on the mass-energy equivalence relation by incorporating gravitation in the physical situation considered by Einstein (Ann. Physik, 17, 1905, English translation in ref. [1]) for his first…

General Physics · Physics 2007-05-23 R. V. R. Pandya

A major consequence of special relativity, expressed in the relation $E_0 = m c^2$, is that the total energy content of an object at rest, including its thermal motion and binding energy among its constituents, is a measure of its inertia,…

Classical Physics · Physics 2015-06-23 Claudio O. Dib

Einstein's theoretical analysis of mass-energy equivalence, already, at the time, experimentally evident in radioactive decays, in two papers published in 1905, as well as Planck's introduction, in 1906, of the concepts of relativistic…

History and Philosophy of Physics · Physics 2015-06-22 J. H. Field

Our work is an approach between matter and energy. Using the famous equation E = mc^2, Einstein and the Law of Universal Gravitation of Newton, we estimate that a small amount matter converted into energy is needed to lift, using the…

Popular Physics · Physics 2015-09-10 Ricardo Gobato , Alekssander Gobato , Desire Francine Gobato Fedrigo

We study physical situation considered by Einstein (Ann. Physik, 17, 1905) for his first derivation of mass-energy equivalence. Einstein introduced a constant $C$ in his derivation and reasoning surrounding $C$ and equations containing $C$…

History and Philosophy of Physics · Physics 2007-05-23 R. V. R. Pandya

We review recent theoretical results, demonstrating breakdown of the equivalence between active and passive gravitational masses and energy due to quantum effects in General Relativity. In particular, we discuss the simplest composite…

General Relativity and Quantum Cosmology · Physics 2017-11-22 Andrei G. Lebed

100 years ago Einstein discovered $E=mc^2$, the secret energy stored in ordinary mass. $\Delta H = D(H-H)$ is the chemical energy released in chemical bond formation between two H atoms. The failure to recognize the enormously different…

Physics and Society · Physics 2007-05-23 J. E. Hirsch

The tight connection between mass and energy unveiled by Special Relativity, summarized by the iconic formula $E = mc^2$, has revolutionized our understanding of nature and even shaped our political world over the past century through its…

Classical Physics · Physics 2020-10-07 Daniel A. Turolla Vanzella

We review in the present article the conjecture of electromagnetic mass by Lorentz. The philosophical perspectives and historical accounts of this idea are described, especially, in the light of Einstein's special relativistic formula {E =…

History and Philosophy of Physics · Physics 2007-07-31 Saibal Ray
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