Abstract
AN electrostatic field E in a stationary coordinate system, when referred to a moving coordinate system, can produce both an electric field E*, and a magnetic field B*. If v is the uniform velocity of motion, perpendicular to E, then by the usual Lorentz transformation: where β=v/c. Consider two stationary point masses, m1 and m2, with respective electric charges q1 and q2. Suppose that the particles are located at 0, r/2, 0 and 0, −r/2, 0 in a system of Cartesian coordinates. If the masses and charges are chosen so that the force of electrostatic repulsion exactly balances that of gravitational attraction, then where G is the constant of gravitation and ɛ0 is the electrical permittivity of space. Positive signs indicate repulsion and negative signs attraction.
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References
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SALISBURY, W., MENZEL, D. Gyron Field—gravitational analogue of magnetic force. Nature 252, 664–665 (1974). https://doi.org/10.1038/252664a0
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DOI: https://doi.org/10.1038/252664a0
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