The lorentz transformation group of the special theory of relativity without Einstein's isotropy convention

Philosophy of Science 53 (3):395-402 (1986)
Abstract
Inertial frames and Lorentz transformations have a preferred status in the special theory of relativity (STR). Lorentz transformations, in turn, embody Einstein's convention that the velocity of light is isotropic, a convention that is necessary for the establishment of a standard signal synchrony. If the preferred status of Lorentz transformations in STR is not due to some particular bias introduced by a convention on signal synchronism, but to the fact that the Lorentz transformation group is the symmetry group of the theory, then the signal synchronism is not a matter of convention but rather a matter of fact. In order to explore the conventionalist thesis, that within the frame of STR isotropy in the velocity of light and, hence, signal synchronism is a matter of convention, we need a generalized Lorentz transformation group that does not embody Einstein's isotropy convention, and upon which STR can be based. We present here a new approach to the resulting search for a generalized STR, which is well suited for establishing some well-known results of Winnie as well as some new results
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DOI 10.1086/289324
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The Conventionality of Simultaneity in the Light of the Spinor Representation of the Lorentz Group.Vassilios Karakostas - 1997 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 28 (2):249-276.
Zur Linearität der Lorentz-TransformationenOn the Linearity of the Lorentz Transformations.Joachim Peschke - 1992 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 23 (2):313-314.
The Conventionality of Simultaneity in the Light of the Spinor Representation of the Lorentz Group.Vassilios Karakostas - 1997 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 28 (2):249-276.

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