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- W1999225577 abstract "Many ordinary Newtonian equations of motion in the center-of-mass frame can be made into Lorentz-invariant equations valid in all inertial frames. This is shown by outlining a construction of Poincar'e-invariant Newtonian equations of motion, using global Lorentz transformations, starting with the assumption that at zero center-of-mass velocity the center-of-mass acceleration is zero, and the relative acceleration is specified as a function of the relative position and relative velocity, subject to some weak conditions. The only remarkable condition is a limit on repulsive forces, needed to keep the transformed center-of-mass velocity from being zero. This is generally satisfied up to energies comparable with the rest-mass energy. For Coulomb forces, it fails for higher energies, when the particles get closer than the classical electron radius and violate the uncertainty principle." @default.
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- W1999225577 date "1975-05-15" @default.
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- W1999225577 title "Lorentz-invariant Newtonian mechanics for two particles" @default.
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- W1999225577 doi "https://doi.org/10.1103/physrevd.11.2807" @default.
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