Year

Author

Major points

1881

J. J. Thomson [7]

Proposed that a charged conductor in motion increases its mass by 4 15 μ e 2 a , 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 E / c 2

1900

H. Poincare [9]

The relation of mass-energy equivalence E = m c 2 was first mentioned in this paper. It is in the form of ρ = J / c 2 , 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 m = ( 4 / 3 ) E / c 2 .

1904

H. A. Lorentz [10] [20]

Showed that the electron mass parallel to the direction of motion is m L = γ 3 m and the mass perpendicular to the direction of motion is m T = γ m , where γ = 1 / 1 v 2 / c 2 .

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 E 0 = m c 2 “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 Δ m = E / c 2 .

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 m c 2 ( γ 1 ) as the kinetic energy of the particle.

1946

A. Einstein [38]

Einstein’s last effort to prove E 0 = m c 2 . 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] .