The Restoration of Space and Time from a Galilean Approach to Relativity's Second Postulate

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Scientific Paper
Title The Restoration of Space and Time from a Galilean Approach to Relativity\'s Second Postulate
Author(s) Curtis E Renshaw
Keywords Space, Time, Galilean Transformation, Special Relativity Postulates
Published 1998
Journal None


Dimensional analysis of Maxwell's equations in a planar electromagnetic wave fonn interpreted in a certain way imply wave propagation at a speed of c. defined as ((epsilon)0(mu)0)1/2. Such analysis does not specify anything at all about the specific values of (epsilon)0 or (mu). Thus Maxwell's equations in and of themselves say nothing about the specific velocity of propagation of an electromagnetic wave through space or with respect to a given source. The generally accepted frame-invariance of c. and hence (epsilon)0 and (mu)0, independent of the motion of the source (and thus independent of the relative motion between source and observer) constitutes an assumption. The Lorentz transformations are required in order to retain the form of Maxwell's equations in any inertial frame of reference (IFR) under this assumption, an assumption that Einstein raised to the status of a postulate. This paper demonstrates that such an assumption is too restrictive to form the basis for a postulate. Relaxing the restriction on c imposed by Einstein's second postulate results in an alternative aether-free Galilean invariant solution, eliminating length contraction and time dilation. This solution restores common sense concepts of space, time and simultaneity and fully supports all experimental and observational results yet produced.