B. V. Landau, S. Sampanthar
Abstract
It is shown that Newtonian mechanics plus the assumption that the mass of a particle varies with its velocity according to the formula m = m0(1 − v2/c2)1/2 leads to the Lorentz transformation.
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It is shown that Newtonian mechanics plus the assumption that the mass of a particle varies with its velocity according to the formula m = m0(1 − v2/c2)1/2 leads to the Lorentz transformation.
Key concepts: Physics, Lorentz transformation, Four-momentum, Transformation (genetics), Lorentz factor, Velocity-addition formula, Classical mechanics, Moving magnet and conductor problem