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THE FOUNDATIONS OF THE SPECIAL THEORY OF RELATIVITY
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according analogy arbitrary assume axes body charge clock components condition connected consider constant corresponding covariant defined density depends derivatives described determined differentiation direction distance effect electromagnetic element energy equal equations event experiments expression force formula four four-vector frequency function Further geometry given gives gravitational field Hence identical independent integration introduce invariant light Lorentz transformation mass matter means measured mechanical metric tensor momentum motion moving observer obtain obviously origin particle physical possible potential principle proper properties quantities rank regarded relations relative represents respectively rest system result rotation satisfy shows side simple solution space spatial special relativity standard surface system of coordinates system of inertia system of reference tensor theory transformation unit variables vector velocity volume wave written zero