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On attempts to rescue the conventionality thesis of distant simultaneity in str
Authors:Robert Coleman  Herbert Korté
Affiliation:(1) Interdisciplinary Studies in Mathematical Physics and Philosophy of Science, University of Regina, S4S 0A2 Regina, Saskatchawan, Canada
Abstract:Recently, some conventionalists have tried to rescue the conventionality of distant simultaneity by introducing a spatially dependentepsiagr(x,y,z), whereagr isin {1,2,3}. In this paper, we show that this attempt fails by providing a detailed analysis of the coordinate independent and non-conventional procedure for directly measuring the metricdM2on eventspace with respect to a physical radar coordinate system. The measureddM2in turn provides the empirical basis for uniquely determining the hyperplanes of space for a given inertial observer in a way that makes absolutely no reference whatsoever to any kind of synchrony, whether spatially dependent or not except for the sole purpose of assigning physical coordinates to events.
Keywords:special relativity  distant simultaneity  conventionality  spacetime metric  inertiality  laws of motion
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