The Conventionality of Simultaneity espoused by Reichenbach, Grunbaum, Edwards, and Winnie is herein extended to mechanics and electrodynamics. The extension is seen to be a special case of a generally covariant formulation of physics, and therefore consistent with Special Relativity as the geometry of flat space-time. Many of the quantities of classical physics, such as mass, charge density, and force, are found to be synchronization dependent in this formulation and, therefore, in Reichenbach's terminology, "metrogenic." The relationship of these quantities to (...) 4-vectors and their physical significance is discussed. (shrink)

We consider a sequence of absolute-space kinematical theories which differ more or less from the special theory of relativity (STR) in the amount of clock retardation which they predict, but which agree with STR with respect to roundtrip light experiments, such as Michelson-Morley and Kennedy-Thorndike. This sequence of theories is imbedded in the synchrony-free formulation of STR developed by Winnie by modifying the equal passage time principle. The paper has bearing on the relationship between the slow clock transport behavior of (...) clocks and the one-way velocity of light. Experiments which claim to measure the latter are discussed. (shrink)

Within Special Relativity accelerated systems can be described as those systems in which standard clock synchronism does not hold. Therefore, the ε -generalized Lorentz equations derived by Winnie are the equations governing accelerated systems. The ε -generalized equation for time is used in analyzing two cases of the clock paradox: (1) the case in which a clock travels in a straight line, stops, and returns, and (2) the case in which a clock travels with uniform velocity in a circular path. (...) The treatment of case (1) of the paradox within this generalization of the Special Theory is compared with Møller's treatment of it within the General Theory. (shrink)

In their recent paper, Jackson and Pargetter have attempted to prove that simultaneity is not a matter of convention. They attempt to show that it is an empirical fact whether or not a moving rod A′B′ is perpendicular to a plane XY. If it is an empirical fact, then such a perpendicular rod can be used to synchronize clocks. We shall show that it is not an empirical fact, but it is in fact synchronization dependent.

After a consideration of Reichenbach's and Winnie's axiomatizations of Special Relativity, three synchrony-free axioms which can be used to simultaneously axiomatize Special Relativity, Classical Aether Theory, and a threefold continuum of theories in between are suggested. The specific theory obtained from the axioms depends on the value of a parameter in each axiom. It is shown that the values of the three parameters are empirically determined by the Michelson-Morley, Kennedy-Thorndike, and Ives-Stilwell experiments.