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As required by the experimentally proven equivalence between Einstein synchronization and slow clock-transport synchronization, which requires knowledge of time dilation of moving clocks, the same non-standard synchronisations must also affect time dilation. It was indeed pointed out that time dilation of moving clocks depends on the convention for the one-way velocities used in its formula. That is, time dilation can be measured by synchronizing two stationary clocks A and B, and then the readings of a moving clock C are compared with them.
Though this doesn't remove the Lorentz violation per se, since such a redefinition only transfers the Lorentz violation form the photon sector to the matter sector of SME, thus those experiments remain valid tests of Lorentz invariance violation. There are one-way coefficients of the SME that cannot be redefined into other sectors, since different light rays from the same distance location are directly compared with each other, see the previous section.
κ can have values between 0 and 1. In the extreme as κ approaches 1, light might propagate in one direction instantaneously, provided it takes the entire round-trip time to travel in the opposite direction. Following Edwards and Winnie, Anderson et al. formulated generalized Lorentz transformations for arbitrary boosts of the form:
↑ Jong-Ping Hsu; Yuan-Zhong Zhang (2001). Lorentz and Poincaré Invariance: 100 Years of Relativity. World Scientific. ISBN 978-981-02-4721-8. https://books.google.com/books?id=jryk42J8oQIC
1 2 Will, C.M (2005). “Special Relativity: A Centenary Perspective”. In T. Damour; O. Darrigol; B. Duplantier et al.. Poincare Seminar 2005. Basel: Birkhauser. 2006. pp. 33–58. arXiv:gr-qc/0504085. Bibcode: 2006eins.book...33W. doi:10.1007/3-7643-7436-5_2
↑ 17th General Conference on Weights and Measures (1983), Resolution 1,
↑ Zhang (1997), p 24
1 2 3 Mansouri R.; Sexl R.U. (1977). “A test theory of special relativity. I: Simultaneity and clock synchronization”. Gen. Rel. Gravit. 8 (7): 497–513. Bibcode: 1977GReGr...8..497M. doi:10.1007/BF00762634.