A new twist in the conventionality of simultaneity debate
Philosophy of Science 61 (2):267-275 (1994)
| Abstract | To date, both sides in the conventionality of simultaneity debate grant that transformations from "standard" to "nonstandard" coordinates are possible without any empirically significant effects. However, it is argued here that the very possibility of defining nonstandard coordinates vanishes if one represents special relativity, not by real four-vectors (as has been the case so far in the debate), but by complex spinors as used in the representation of half-integer spin. Thus, in the topologically simplest representation of the Lorentz group, the transformation over which the debate has been fought does not exist and one of the most basic foundations of the conventionalist thesis is challenged | |||||||||
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Vassilios Karakostas (1997). The Conventionality of Simultaneity in the Light of the Spinor Representation of the Lorentz Group. Studies in History and Philosophy of Science Part B 28 (2):249-276.
Vesselin Petkov (1989). Simultaneity, Conventionality and Existence. British Journal for the Philosophy of Science 40 (1):69-76.
Jonathan Bain (2000). The Coordinate-Independent 2-Component Spinor Formalism and the Conventionality of Simultaneity. Studies in History and Philosophy of Science Part B 31 (2):201-226.
John A. Winnie (1970). Special Relativity Without One-Way Velocity Assumptions: Part I. Philosophy of Science 37 (1):81-99.
Laurent A. Beauregard (1976). The Sui Generis Conventionality of Simultaneity. Philosophy of Science 43 (4):469-490.
Frank Jackson & Robert Pargetter (1977). Relative Simultaneity in the Special Relativity. Philosophy of Science 44 (3):464-474.
John A. Winnie (1970). Special Relativity Without One-Way Velocity Assumptions: Part II. Philosophy of Science 37 (2):223-238.
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