An extension of special relativity to accelerating frames and some of its philosophical implications |
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Authors: | John Urani George Gale |
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Affiliation: | (1) Department of Physics, University of Missouri, 64110 Kansas City, Missouri;(2) Department of Philosophy, University of Missouri, 64110 Kansas City, Missouri |
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Abstract: | A rigorous extension of the full Lorentz group is found which is parameterized by interframe velocities v(t) and which reduces to Special Relativity for acceleration-free cases and to Galilean relativity for low velocity cases. Full group properties are exhibited. Four-momentum is defined and particle masses are shown to be invariants. Four-force is introduced and pseudoforces are shown to enter the equations of particle dynamics. Maxwell's equations are shown to take on pseudocurrent terms in accelerating frames. A four-vector Green function solution to the modified Maxwell equations is presented. Finally, a discussion is offered concerning philosophical questions such as the operational definition of time. |
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