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On possible origin of an anisotropy in the speed of light in vacuum

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Abstract

We assume the spacetime foam picture in which vacuum is filled with virtual wormholes. In the presence of an external field the distribution of wormholes changes. We consider an anisotropic distribution of wormholes and analyze its relation to the speed of light. We show that speed of light acquires an anisotropic character and save the normal dispersion a gas of virtual wormholes may possess also an anomalous dispersion, i.e., when the light velocity exceeds that in the vacuum.

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Notes

  1. The additional parameter (rotation matrix \(\Lambda \)) is important only for multipoles of higher orders.

  2. Such a function admits a rigorous definition and we consider it in a separate paper.

  3. I am obligated to V.A. Berezin for pointing out to this fact.

References

  1. Geroch, R.P.: J. Math. Phys. 8, 782 (1967)

    Article  ADS  MathSciNet  Google Scholar 

  2. Yodzis, P.: Gen. Relativ. Gravit. 4, 299 (1973)

    Article  ADS  MathSciNet  Google Scholar 

  3. Ansoldi, S., Guendelman, E.I.: Prog. Theor. Phys. 120, 985–993 (2008). arXiv:0706.1233

    Article  ADS  Google Scholar 

  4. Wheeler, J.A.: In: S, B., DeWitt, C.M. (eds.) Relativity, Groups, and Topology. Gordan and Breach, New York (1964)

    Google Scholar 

  5. Hawking, S.W.: Nucl. Phys. B 114, 349 (1978)

    Article  ADS  MathSciNet  Google Scholar 

  6. Kirillov, A.A., Savelova, E.P.: Grav. Cosmol. 19, 92–100 (2013)

    Article  ADS  MathSciNet  Google Scholar 

  7. Savelova, E.P.: Grav. Cosmol. 21, 48 (2015)

    Article  ADS  MathSciNet  Google Scholar 

  8. Kirillov, A.A., Savelova, E.P.: Yad. Fiz. Eng. 4, 932–936 (2013). [in Russian]

    Google Scholar 

  9. Kirillov, A.A., Savelova, E.P.: Gen. Relativ. Gravit. 47, 97 (2015)

    Article  ADS  MathSciNet  Google Scholar 

  10. Kirillov, A.A., Savelova, E.P.: Phys. At. Nucl. 78, 1069–1073 (2015)

    Article  Google Scholar 

  11. Hawking, S.W.: Phys. Lett. 195B, 337 (1987); in: Quantum Gravity. In: Markov, M.A., Berezin, V.A. Frolov, V.P. (eds.) Proceedings of the 4th International Seminar, Moscow, 1987 (World Sientific, Singapore, 1988)

  12. Lavrelashvili, G.V., Rubakov, V.A., Tinyakov, P.G.: JETP Lett. 46, 167 (1987); in: Markov, M.A., Berezin, V.A., Frolov, V.P. (eds). Quantum Gravity. Proceedings of the 4th International Seminar, Moscow, 1987 (World Sientific, Singapore, 1988)

  13. Giddings, S.B., Strominger, A.: Nucl. Phys. B 306, 890 (1988)

    Article  ADS  MathSciNet  Google Scholar 

  14. Coleman, S.: Nucl. Phys. B 307, 867 (1988)

    Article  ADS  Google Scholar 

  15. Giddings, S.B., Strominger, A.: Nucl. Phys. B 307, 854 (1988)

    Article  ADS  MathSciNet  Google Scholar 

  16. Klebanov, I., Susskind, L., Banks, T.: Nucl. Phys. B 317, 665 (1989)

    Article  ADS  MathSciNet  Google Scholar 

  17. Kirillov, A.A., Savelova, E.P.: J. Astrophys. 2013, Article ID 543717

  18. Savelova, E.P.: Grav. Cosmol. 19, 101 (2013)

    Article  ADS  MathSciNet  Google Scholar 

  19. Guendelman, E.I.: Int. J. Mod. Phys. D 17, 551–555 (2008). arXiv:gr-qc/0703105

    Article  ADS  MathSciNet  Google Scholar 

  20. Mielke, E.W.: Gen. Relativ. Gravit. 8, 175 (1977)

    Article  ADS  MathSciNet  Google Scholar 

  21. Cheng, T.-P., Li, L.F.: Gauge Theory of Elementary Particles. Clarendon Press, Oxford (1984)

    Google Scholar 

  22. Fock, V.A.: Z. Phys. 98, 148 (1935)

    Article  ADS  Google Scholar 

  23. Lifshitz, E.M.: J. Phys. USSR 10, 116 (1946)

    MathSciNet  Google Scholar 

  24. Lifshitz, E.M., Khalatnikov, I.M.: Adv. Phys. 12, 185 (1963)

    Article  ADS  MathSciNet  Google Scholar 

  25. Kirillov, A.A., Savelova, E.P.: Phys. Lett. B 660, 93 (2008)

    Article  ADS  Google Scholar 

  26. Kirillov, A.A., Savelova, E.P., Shamshutdinova, G.D.: JETP Lett. 90, 599–603 (2009)

    Article  ADS  Google Scholar 

  27. Kirillov, A.A., Savelova, E.P.: Phys. Lett. B 710, 516–518 (2012)

    Article  ADS  Google Scholar 

  28. Rubakov, V.A.: The null energy condition and its violation. Phys. Rev. D 88, 044015 (2013). arXiv:1401.4024v2

    Article  ADS  Google Scholar 

  29. Kirillov, A.A.: Phys. Lett. B 632, 453–462 (2006). arXiv:astro-ph/0505131

    Article  ADS  MathSciNet  Google Scholar 

  30. Murphy, M., et al.: Mon. Not. R. Astron. Soc. 327, 1208 (2001)

    Article  ADS  Google Scholar 

  31. Webb, J.K., et al.: Phys. Rev. Lett. 82, 884 (1999)

    Article  ADS  Google Scholar 

  32. Webb, J.K., et al.: Phys. Rev. Lett. 87, 091301 (2001)

    Article  ADS  Google Scholar 

  33. Bronnikov, K.A., Kononogov, S.A., Melnikov, V.N.: Gen. Relativ. Gravit. 38, 1215–1232 (2006)

    Article  ADS  Google Scholar 

  34. Moffat, J.W.: Int. J. Mod. Phys. D 2, 351 (1993)

    Article  ADS  Google Scholar 

  35. Moffat, J.W.: Found. Phys. 23, 411 (1993)

    Article  ADS  MathSciNet  Google Scholar 

  36. Barrow, J.D.: Phys. Rev. D 59, 043515 (1999)

    Article  ADS  MathSciNet  Google Scholar 

  37. Albrecht, A., Maguiejo, J.: Phys. Rev. D 59, 043516 (1999)

    Article  ADS  Google Scholar 

  38. Barrow, J.D., Magueijo, J.: Class. Quant. Gravit. 16, 1435 (1999)

    Article  ADS  MathSciNet  Google Scholar 

  39. Magueijo, J.: Rep. Prog. Phys. 66(11), 2025 (2003)

    Article  ADS  MathSciNet  Google Scholar 

  40. Magueijo, J., Moffat, J.: Gen. Relativ. Gravit. 40, 1797 (2008)

    Article  ADS  MathSciNet  Google Scholar 

  41. Moffat, J.W.: Variable Speed of Light Cosmology, Primordial Fluctuations and BICEP2. arXiv:1404.5567

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Acknowledgments

I acknowledge V. A. Berezin and A. A. Kirillov for useful comments and discussions. I am also grateful to the referees for constructive suggestions which essentially improved the paper.

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Authors and Affiliations

  1. Dubna International University of Nature, Society and Man, Universitetskaya Str. 19, Dubna, Russia, 141980

    E. P. Savelova

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  1. E. P. Savelova
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Correspondence to E. P. Savelova.

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Savelova, E.P. On possible origin of an anisotropy in the speed of light in vacuum. Gen Relativ Gravit 48, 85 (2016). https://doi.org/10.1007/s10714-016-2079-5

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