A Mass-Energy Equivalence Law as E=� Mc2

Abstract

Musa D. Abdullahi

This paper assumes that the mass and charge of a particle are independent of its speed relative to an observer. A particle of mass m and charge Q moving with its electrostatic field Eo at an angle �?� to the direction of speed v, is considered. The intrinsic energy of the particle is contained in its electrostatic field Eo . The magnetic field, generated by a moving charged particle, does not contain any energy. It is shown that, as a result of aberration of electric field, Eo becomes a dynamic electric field Ev , displaced by aberration angle α from the stationary position. This angular displacement is a distortion which increases the energy of the particle by an amount equal to the kinetic energy. The difference between the energies of dynamic field Ev and electrostatic field Eo , gives the kinetic energy ½ mv2 of the particle, thereby offering a mass-energy law as E = ½ mc2 . It is also shown that a charged particle moving at time t, with acceleration dv/dt, produces a reactive electric field Ea = -μo �?o QU(dv/dt), where μo is the permeability and �?o the permittivity of space and φ the potential at a point due to the charge. It is proposed that Ea acts on the same charge Q, to create a reactive force QEa = -μo �?o QU(dv/dt) = -2Eμo εo (dv/dt) = -m(dv/dt), where the charge Q is in its own potential U, E = QU/2 = ½ mc2 is the electrostatic energy and c2 = 1/μo �?o, c being the speed of light. The force QEa = -m(dv/dt explains the inertia of a body as an electrical effect caused by acceleration.

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