Skip to main content
Log in

The search for quantum gravity effects II: Specific predictions

  • Published:
Applied Physics B Aims and scope Submit manuscript

Abstract

The variety and structure of quantum gravity effects are described and the expected magnitude of the effects and a corresponding strategy for the search for these effects is discussed. We present some of the “predictions” of possible effects. These are no real predictions because these derivations do not start from an established physical theory; they start from some hypothesis. Furthermore, in some cases even the derivation is unclear and not settled.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. T. Damour, G. Esposito-Farese, Class. Quantum Grav. 9, 2093 (1992)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  2. T. Damour, A.M. Polyakov, Nucl. Phys. B 423, 532 (1994)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  3. T. Damour, A.M. Polyakov, Gen. Relat. Grav. 12, 1171 (1996)

    MathSciNet  Google Scholar 

  4. T. Damour, F. Piazza, G. Veneziano, Phys. Rev. Lett. 89, 081601 (2002)

    Article  ADS  Google Scholar 

  5. T. Damour, F. Piazza, G. Veneziano, Phys. Rev. D 66, 046007 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  6. T. Damour, Gravity, equivalence principle and clocks, to appear in the Proceedings of the Workshop on the Scientific Applications of Clocks in Space (JPL, Pasadena, November 7–8, 1996)

  7. T. Damour, Equivalence principle and clocks, In: Gravitational Waves and Experimental Gravity, ed. by J. Trân Tanh Vân, J. Dumarchez, J. Reynaud, C. Salomon, S. Thorsett, J.Y. Vinet (World Publishers, Hanoi, 2000), p. 357

  8. C. Wetterich, Phys. Lett. B 561, 10 (2003)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  9. C. Wetterich, Astropart. Phys. 10, 2 (2003)

    Google Scholar 

  10. H.B. Sandvik, J.D. Barrow, J. Magueijo, Phys. Rev. Lett. 88, 031302 (2002)

    Article  ADS  Google Scholar 

  11. L. Maleki, J. Prestage, SpaceTime mission: Clock test of relativity at four solar radii, In: Gyros, Clocks, and Interferometers: Testing Relativistic Gravity in Space, ed. by C. Lämmerzahl, C.W.F. Everitt, F.W. Hehl (Springer, Berlin, 2001), p. 369

  12. L. Maleki, SPACETIME - a midex proposal, JPL (2001)

  13. G. Amelino-Camelia, C. Lämmerzahl, Class. Quantum Grav. 21, 899 (2004)

    Article  ADS  MATH  Google Scholar 

  14. C. Lämmerzahl, Interferometry as a universal tool in physics, In: Planck Scale Effects in Astrophysics and Cosmology, ed. by G. Amelino-Camelia, J. Kowalski-Glikman, Vol. LNP 562 (Springer, Berlin, 2005), p. 161

  15. E.G. Sauter, Nonlinear Optics (John Wiley & Sons, New York, 1996)

    Google Scholar 

  16. A. Roura, D.R. Brill, B.L. Hu, C.W. Misner, W.D. Phillips, Phys. Rev. D 73, 084018 (2006)

    Article  ADS  Google Scholar 

  17. R.Y. Chiao, A.D. Speliotopoulos, J. Mod. Opt. 51, 861 (2004)

    ADS  MATH  Google Scholar 

  18. G. Amelino-Camelia, J. Ellis, N.E. Mavromatos, D.V. Nanopoulos, S. Sarkar, Nature 393, 763 (1998)

    Article  ADS  Google Scholar 

  19. H.D. Zeh, The meaning of decoherence, In: Decoherence: Theoretical, Experimental and Conceptual Problems, ed. by P. Blanchard, D. Giulini, E. Joos, C. Kiefer, I.-O. Stamatescu, Vol. LNP 538 (Springer, Berlin, 2000), p. 19

  20. C. Kiefer, T.P. Singh, Phys. Rev. D 44, 1067 (1991)

    Article  ADS  MathSciNet  Google Scholar 

  21. B. Lamine, M.-T. Jaekel, S. Reynaud, Eur. Phys. J. D 20, 165 (2002)

    Article  ADS  Google Scholar 

  22. S. Reynaud, B. Lamine, A. Lambrecht, P.M. Neto, M.-T. Jaekel, Gen. Relat. Grav. 36, 2271 (2004)

    Article  ADS  MATH  Google Scholar 

  23. C.J. Isham, Conceptual and geometrical problems in quantum gravity, In: Recent Aspects of Quantum Fields, ed. by H. Mitter, H. Gaustere (Springer, Berlin, 1991), p. 123

  24. S.W. Hawking, Commun. Math. Phys. 87, 395 (1982)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  25. J. Ellis, S. Hagelin, D.V. Nanopoulos, M. Srednicki, Nucl. Phys. B 241, 381 (1984)

    Article  ADS  MathSciNet  Google Scholar 

  26. C. Percival, Quantum space–time fluctuations and primary state diffusion, preprint quant-ph/9508021 (1995)

  27. I.P. Percival, W.T. Strunz, Proc. R. Soc. London A 453, 431 (1996)

    Google Scholar 

  28. J. Audretsch, C. Lämmerzahl, Appl. Phys. B 54, 351 (1992)

    Article  ADS  Google Scholar 

  29. G. Amelino-Camelia, Phys. Rev. D 62, 0240151 (2000)

    Article  Google Scholar 

  30. S. Schiller, C. Lämmerzahl, H. Müller, C. Braxmaier, S. Herrmann, A. Peters, Phys. Rev. D 69, 027504 (2004)

    Article  ADS  Google Scholar 

  31. I. Bialynicki-Birula, J. Mycielski, Ann. Phys. (New York) 100, 62 (1976)

    Article  ADS  MathSciNet  Google Scholar 

  32. S. Weinberg, Ann. Phys. 194, 336 (1989)

    Article  ADS  MathSciNet  Google Scholar 

  33. A. Shimony, Phys. Rev. A 20, 394 (1979)

    Article  ADS  Google Scholar 

  34. C.G. Shull, D.K. Atwood, J. Arthur, M.A. Horne, Phys. Rev. Lett. 44, 765 (1980)

    Article  ADS  Google Scholar 

  35. C. Lämmerzahl, C.J. Bordé Testing the Dirac equation, In: Gyros, Clocks, and Interferometers: Testing Relativistic Gravity in Space, ed. by C. Lämmerzahl, C.W.F. Everitt, F.W. Hehl (Springer, Berlin, 2001), p. 464

  36. A. Camacho, A. Macias, Phys. Lett. B 582, 229 (2004)

    Article  ADS  Google Scholar 

  37. C. Lämmerzahl, G. Ahlers, N. Ashby, M. Barmatz, P.L. Biermann, H. Dittus, V. Dohm, R. Duncan, K. Gibble, J. Lipa, N.A. Lockerbie, N. Mulders, C. Salomon, Gen. Relat. Grav. 36, 615 (2004)

    Article  ADS  MATH  Google Scholar 

  38. C. Salomon, N. Dimarcq, M. Abgrall, A. Clairon, P. Laurent, P. Lemonde, G. Santarelli, P. Uhrich, L.G. Bernier, G. Busca, A. Jornod, P. Thomann, E. Samain, P. Wolf, F. Gonzalez, P. Guillemot, S. Leon, F. Nouel, C. Sirmain, S. Feltham, C.R. Acad. Sci. Paris 4, 1313 (2004)

    Google Scholar 

  39. R.F.C. Vessot, M.W. Levine, E.M. Mattison, E.L. Blomberg, T.E. Hoffmann, G.U. Nystrom, B.F. Farrel, R. Decher, P.B. Eby, C.R. Baughter, J.W. Watts, D.L. Teuber, F.D. Wills, Phys. Rev. Lett. 45, 2081 (1980)

    Article  ADS  Google Scholar 

  40. C.W.F. Everitt, S. Buchman, D.B. DeBra, G.M. Keiser, J.M. Lockhart, B. Muhlfelder, B.W. Parkinson, J.P. Turneaure, and other members of the Gravity Probe B team, Gravity Probe B: Countdown to launch, In: Gyros, Clocks, and Interferometers: Testing Relativistic Gravity in Space, ed. by C. Lämmerzahl, C.W.F. Everitt, F.W. Hehl (Springer, Berlin, 2001), p. 52

  41. N. Lockerbie, J.C. Mester, R. Torii, S. Vitale, P.W. Worden, STEP: A status report, In: Gyros, Clocks, and Interferometers: Testing Relativistic Gravity in Space, ed. by C. Lämmerzahl, C.W.F. Everitt, F.W. Hehl (Springer, Berlin, 2001), p. 213

  42. P. Touboul, C.R. Acad. Sci. Paris 2, 1271 (2001)

    Google Scholar 

  43. C. Jentsch, T. Müller, E.M. Rasel, W. Ertmer, Gen. Relat. Grav. 36, 2197 (2004)

    Article  ADS  MATH  Google Scholar 

  44. H. Dittus and Pioneer science team, A mission to explore the Pioneer anomaly, In: Trends in Space Science and Cosmic Vision 2030 (ESA, Noordwijk, 2005)

  45. S. Turyshev and the LATOR science team, Laser astrometric test of relativity, In: Trends in Space Science and Cosmic Vision 2030 (ESA, Noordwijk, 2005)

  46. W.T. Ni, J. Zhu, X.P. Wu, G.B. Chu, B. Yang, J. Gao, M. Guan, C.J. Tang, C.J. Chou, Y. Chou, C.H. Chang, T.Y. Huang, Q.Y. Qu, Z.H. Yi, G.Y. Li, J.H. Tao, A.M. Wu, J. Luo, H.C. Yeh, Z.B. Zhou, Y.H. Xiong, S.L. Bi, C.M. Xu, X.J. Wu, M.X. Tang, Y. Bao, F.Y. Li, C. Huang, F.M. Yang, S.H. Ye, S.L. Zhang, Y.Z. Zhang, Y.X. Nie, G. Chen, J. Christensen-Dalsgaard, H. Dittus, Y. Fujii, C. Lämmerzahl, J.F. Mangin, A. Peters, A. Rüdiger, E. Samain, S. Schiller, Int. J. Mod. Phys. D 11, 1035 (2002)

    Article  ADS  Google Scholar 

  47. S. Buchman, J.P. Turneaure, J.A. Lipa, M. Dong, K.M. Cumbernack, S. Wang, A superconducting microwave oscillator clock for use on the space station, Proceedings of the IEEE International Frequency Symposium (1998), p. 534

  48. S. Buchman, M. Dong, S. Wang, J.A. Lipa, J.P. Turneaure, Adv. Space Res. 25, 1251 (2000)

    Article  ADS  Google Scholar 

  49. C. Lämmerzahl, H.-J. Dittus, Ann. Phys. 11, 95 (2002)

    Article  MATH  Google Scholar 

  50. J.C. Hafele, R.E. Keating, Science 177, 166 (1972)

    Article  ADS  Google Scholar 

  51. J.C. Hafele, R.E. Keating, Science 177, 168 (1972)

    Article  ADS  Google Scholar 

  52. N. Ashby, Phys. Today 55, 42 (2002)

    Article  Google Scholar 

  53. N. Ashby, Living Rev. Relat. 6, 1 (2003)

    ADS  Google Scholar 

  54. T. Quinn, Metrologia 31, 515 (1995)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to C. Lämmerzahl.

Additional information

PACS

04.80.Cc; 03.30.+p; 06.20.-f; 04.60.-m

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lämmerzahl, C. The search for quantum gravity effects II: Specific predictions. Appl. Phys. B 84, 563–573 (2006). https://doi.org/10.1007/s00340-006-2375-y

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00340-006-2375-y

Keywords

Navigation