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By Mazurov V. D.

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1). Since the specific violations of Lorentz invariance are dif48 49 ficult to predict and since different aproaches predict different violations, a phenomenological scheme to treat all these effects in a unified way might be appropriate. Here we will discuss one way of obtaining a frame which is capable of describing a wide range of effects violating Lorentz invariance in the electromagnetic sector. Our generalized Maxwell equations describe violations of Lorentz invariance for radiation effects as well as effects which can be probed by electromagnetostatic setups only.

4. Antihydrogen spectroscopy within the framework of the Standard-Model Extension Any measured difference in the hydrogen and antihydrogen atomic spectra would be a clear and unambiguous signal for CPT violation. On the other hand, a theoretical framework for such symmetry breaking can indicate which transitions are particularly suited for an experimental search. The Standard-Model Extension1' incorporates spontaneous CPT and Lorentz breaking at a fundamental level. It is an extension of the Standard Model that preserves energy and momentum conservation, gauge invariance, renormalizability, and microcausality.

L. Walsworth, Phys. Rev. A 66,032704 (2002). 14. R. , Phys. Rev. Lett. 88, 090801 (2002). 15. D. Kleppner, H. M. Goldenberg, and N. F. Ramsey, Phys. Rev. 126,603-615 (1962); D. Kleppner, H. C. Berg, S. B. Crampton, N. F. Ramsey, R. F. C. Vessot, H. E. Peters, and J. Vanier, Phys. Rev. 138,A972-983 (1965). 16. H. G. Andresen, Z. Physik, 210, 113-141 (1968). 17. M. A. Humphrey, D. F. Phillips, and R. L. Walsworth, Phys. Rev. A 62, 063405-063405 (2000). E. TOBAR,l P. L. STANWIX,l A. FOWLER,l S. BIZE,2 A.

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