Abstract

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.