Abstract
The Einstein Equivalence Principle (EEP) is a founding principle of relativity [1]. One of the constituent elements of EEP is Local Lorentz Invariance (LLI), which postulates that the outcome of a local experiment is independent of the velocity and orientation of the apparatus. The central importance of this postulate has motivated tremendous work to experimentally test LLI. Also, a number of unification theories suggest a violation of LLI at some level. However, to test for violations it is necessary to have an alternative theory to allow interpretation of experiments [1], and many have been developed [2–7]. The kinematical frameworks (RMS) [2, 3] postulate a simple parameterization of the Lorentz transformations with experiments setting limits on the deviation of those parameters from their values in special relativity (SR). Because of their simplicity they have been widely used to interpret many experiments [8–11]. More recently, a general Lorentz violating extension of the standard model of particle physics (SME) has been developed [6] whose Lagrangian includes all parameterized Lorentz violating terms that can be formed from known fields.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Will C.M., Theory and Experiment in Gravitational Physics, revised edition (Cambridge University Press, Cambridge, 1993).
Robertson H.P., Rev. Mod. Phys. 21, 378 (1949).
Mansouri R., Sexl R.U., Gen. Rel. Grav. 8, 497 (1977).
Lightman A.P., Lee D.L., Phys. Rev. D 8, 364 (1973).
Ni W.-T., Phys. Rev. Lett. 38, 301 (1977).
Colladay D., Kostelecký V.A., Phys.Rev. D 55, 6760 (1997); Colladay D., Kostelecký V.A., Phys. Rev. D58, 116002 (1998)
Kostelecký V.A.,Mewes M., Phys. Rev. D 66, 056005, (2002).
Brillet A., Hall J., Phys. Rev. Lett. 42, 549 (1979).
Wolf P. et al., Phys. Rev. Lett. 90, 060402 (2003).
Müller H. et al., Phys. Rev. Lett. 91, 020401 (2003).
Wolf P., et al., Gen. Rel. and Grav., 36, 2351 (2004).
Lipa J.A. et al., Phys. Rev. Lett. 90, 060403 (2003).
Wolf P, et al., Phys. Rev. D 70, 051902(R), (2004).
Tobar M.E. et al., Phys. Lett. A 300, 33 (2002).
Stanwix P.L., Tobar, M.E., Wolf P. et al., Phys. Rev. Lett. 95, 040404 (2005).
Antonini P. et al., Phys. Rev. A. 71, 050101 (2005).
Herrmann S. et al., arXiv: physics 050809, accepted for publication in Phys. Rev. Lett., (2005).
Michelson A.A. and Morley E.W., Am. J. Sci. 34, 333 (1887).
Kennedy R.J. and Thorndike E.M., Phys. Rev. B 42, 400 (1932).
Ives H.E. and Stilwell G.R., J. Opt. Soc. Am. 28, 215 (1938).
Saathoff G., et al., Phys. Rev. Lett 91, 190403 (2003).
Jackiw R. and Kostelecký V.A., Phys. Rev. Lett, 82 (1999).
Kostelecký V.A., and Mewes M., Phys. Rev. Lett. 87, 251304 (2001).
Tobar M.E. et al., Phys. Rev. D71, 025004 (2005).
Bluhm R. et al., Phys. Rev. D68, 125008 (2003).
Bailey Q.G., and Kostelecký V.A., Phys. Rev. D70, 076006 (2004).
Krupka J., Derzakowski K., Abramowicz A., Tobar M.E. and Geyer R., IEEE Trans. on Microw. Theory Tech. 47, 752–759, (1999).
H. Müller, S. Herrmann, C. Braxmaier, S. Schiller and A. Peters, Appl Phys. B (Laser Opt.) 77, 719–773, (2004).
Hall J.L., Ye J., and Ma L.-S., Phys. Rev. A62, 013815 (2000).
Tobar M.E., Hartnett J.G., Phys. Rev. D67, 062001 (2003).
Braxmaier C., Pradl O., Müller H., Peters A., Mlynek J., Loriette V., Schiller S., Phys. Rev. D64, 042001 (2001).
Müller H., Phys. Rev. D71, 045004 (2003).
Tobar M.E. et al., IEEE Trans. on Ultrason., Ferroelect. Fr Contr., 47, 421, (2000).
Giles A.J. et al., Physica B 165, 145, (1990).
Tobar M.E., Mann A.G., IEEE Trans. Microw. Theory Tech. 39, 2077, (1991).
Mann A.G., Topics in Appl. Phys. 79, 37, (2001).
Hartnett J.G., Tobar M.E., Topics in Appl. Phys. 79, 67, (2001).
Tobar M.E., Hartnett J.G., Ivanov E.N., Cros D., Blondy P., IEEE Trans. Instr. and Meas. 30, 522, (2001).
Tobar M.E. et al., IEEE Trans. Ultrason., Ferroelect. Fr Contr., 52, 17, (2005).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer
About this chapter
Cite this chapter
Tobar, M., Stanwix, P., Susli, M., Wolf, P., Locke, C., Ivanov, E. (2006). Rotating Resonator-Oscillator Experiments to Test Lorentz Invariance in Electrodynamics. In: Ehlers, J., Lämmerzahl, C. (eds) Special Relativity. Lecture Notes in Physics, vol 702. Springer, Berlin, Heidelberg . https://doi.org/10.1007/3-540-34523-X_15
Download citation
DOI: https://doi.org/10.1007/3-540-34523-X_15
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-34522-0
Online ISBN: 978-3-540-34523-7
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)