2015•Unpublished venueRequires access

DIFFERENTIAL EQUATIONS, NEWTON'S LAWS OF MOTION AND RELATIVITY

J. H. Field

Abstract

Adaptation of a calculation due to Lewis allows derivation of all equations of Special Relativity by straightforward application of Newton's Laws of motion and the equivalence of work and energy. How the spurious 'length contraction' and 'relativity of simultaneity' effects of conventional Special Relativity arise from incorrect manipulation of integration constants, in the description of space-time experiments, is explained. Only the universal (position-independent) time dilation effect of Special Relativity distinguishes it from Galilean Relativity.

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Key concepts: Time dilation, Theory of relativity, Four-force, Special relativity, Classical mechanics, Principle of relativity, Doubly special relativity, Physics