Year | Author | Major points |
1881 | J. J. Thomson [7] | Proposed that a charged conductor in motion increases its mass by , where μ is magnetic permeability, a is the radius of a charged sphere, e is the electric charge. |
1889 | O. Heaviside [8] | Simplified Thomson’s work and suggested that the effective mass is also proportional to |
1900 | H. Poincare [9] | The relation of mass-energy equivalence was first mentioned in this paper. It is in the form of , where ρ is the mass density, J is the energy density. |
1901 1902 | W. Kaufmann [17] [68] | Reported the first experimental results showing that electron’s mass varies with speed. |
1902 | M. Abraham [22] | His study suggested that the effective mass for an electron is . |
1904 | H. A. Lorentz [10] [20] | Showed that the electron mass parallel to the direction of motion is and the mass perpendicular to the direction of motion is , where . |
1905a | A. Einstein [5] | Einstein published his famous paper on Special Relativity. He proposed that the mass of an “electron” is not constant. Based on Newton’s definition of mass, he derived his speed-dependence relations for longitudinal mass and transverse mass. |
1905b | A. Einstein [25] | By proposing a thought experiment of an object sending out radiations in opposite directions, he concluded that “If a body gives off the energy L in the form of radiation, its mass diminishes by L/c2.” |
1906 | A. Einstein [27] [29] | He proposed a thought experiment using a box with radiation waves transmitting inside. Based on conservation of center of gravity, he derived the mass-energy equivalence relation. |
1907a | A. Einstein [28] | Proposed another thought experiment of a rigid body moving in an electric field. He showed that one can obtain “from a standing point of relativistic electrodynamics”. |
1907b | A. Einstein [70] | Proposed to extend the mass-energy equivalence relation to gravitational mass. |
1908 | M. Planck [71] | Proposed that the mass change in the absorption and emission of heat energy is . |
1909 | A. Einstein [72] | Used the same thought experiment and argument proposed in 1905b paper to derive “the inertial mass of a body decreases by L/c2 when the body emits the radiation energy L”. The derivation was made more simple and explicit. |
1911 | A. Einstein [73] | Proposed a thought experiment to show that an increase in gravitational mass is also E/c2. This paper is also thought to be the author’s attempt to develop General Relativity. |
1912 | A. Einstein [74] | Proposed a thought experiment modified from the 1905b paper to derive the mass-energy equivalence relation. This time with a plate sending out two plane waves in opposite directions, and the plate was treated as a point mass. |
1913 | A. Einstein [75] | Proposed to prove the mass-energy equivalence relation using the stress-energy tensor based on electro-magnetic field considerations. |
1922 | A. Einstein [76] | Produced a more refined version of his energy-momentum tensor treatment for relativity. This was based on his Stafford Lectures delivered at Princeton during a visit in May 1921 [29] . |
1935 | A. Einstein [77] | Considered a system using two mass-points traveling toward each other. Based on the argument of conservation of momentum and conservation of energy, he concluded that one can regard as the kinetic energy of the particle. |
1946 | A. Einstein [38] | Einstein’s last effort to prove . The text was short and simple. The treatment “does not presume the formal machinery of the theory of relativity, but uses only three previously known laws”: conservation of momentum, the equation for radiation pressure, and the expression for stellar aberration of light [29] . |