- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review D

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Interpreting doubly special relativity as a modified theory of measurement

Stefano Liberati1,*, Sebastiano Sonego2,†, and Matt Visser3,‡

  • 1International School for Advanced Studies, Via Beirut 2-4, 34014 Trieste, Italy and INFN, Trieste, Italy
  • 2Università di Udine, Via delle Scienze 208, 33100 Udine, Italy
  • 3School of Mathematics, Statistics, and Computer Science, Victoria University of Wellington, P.O. Box 600, Wellington, New Zealand

  • *liberati@sissa.it
  • †sebastiano.sonego@uniud.it
  • ‡matt.visser@mcs.vuw.ac.nz
PDF

Phys. Rev. D 71, 045001 – Published 1 February, 2005

DOI: https://doi.org/10.1103/PhysRevD.71.045001

Abstract

In this article we develop a physical interpretation for the deformed (doubly) special relativity theories (DSRs), based on a modification of the theory of measurement in special relativity. We suggest that it is useful to regard the DSRs as reflecting the manner in which quantum gravity effects induce Planck-suppressed distortions in the measurement of the “true” energy and momentum. This interpretation provides a framework for the DSRs that is manifestly consistent, nontrivial, and in principle falsifiable. However, it does so at the cost of demoting such theories from the level of fundamental physics to the level of phenomenological models—models that should in principle be derivable from whatever theory of quantum gravity one ultimately chooses to adopt.

View figure in article

Article Text

References (25)

  1. V. A. Kostelecký and S. Samuel, Phys. Rev. D 39, 683 (1989).
  2. R. Gambini and J. Pullin, Phys. Rev. D 59, 124021 (1999); C. N. Kozameh and F. Parisi, Classical Quantum Gravity 21, 2617 (2004); J. Alfaro, M. Reyes, H. A. Morales-Tecotl, and L. F. Urrutia, gr-qc/0404113.
  3. C. P. Burgess, J. M. Cline, E. Filotas, J. Matias, and G. D. Moore, J. High Energy Phys. 03 (2002) 043.
  4. G. Amelino-Camelia, J. Ellis, N. E. Mavromatos, D. V. Nanopoulos, and S. Sarkar, Nature (London) 393, 763 (1998); S. Coleman and S. L. Glashow, Phys. Rev. D 59, 116008 (1999); R. Aloisio, P. Blasi, P. L. Ghia, and A. F. Grillo, 62, 053010 (2000); T. Jacobson, S. Liberati, and D. Mattingly, Nature (London) 424, 1019 (2003); T. Jacobson, S. Liberati, D. Mattingly, and F. W. Stecker, Phys. Rev. Lett. 93, 021101 (2004).
  5. T. Jacobson, S. Liberati, and D. Mattingly, hep-th/0407370.
  6. G. Amelino-Camelia, Int. J. Mod. Phys. D 11, 35 (2002); Phys. Lett. B 510, 255 (2001).
  7. J. Magueijo and L. Smolin, Phys. Rev. Lett. 88, 190403 (2002); Phys. Rev. D 67, 044017 (2003).
  8. G. Amelino-Camelia, Int. J. Mod. Phys. D 12, 1211 (2003).
  9. D. V. Ahluwalia-Khalilova, gr-qc/0212128; M. Toller, hep-ph/0211094; Mod. Phys. Lett. A 18, 2019 (2003); D. Grumiller, W. Kummer, and D. V. Vassilevich, Ukr. Phys. J. 48, 329 (2003).
  10. J. Rembieliński and K. A. Smoliński, Bull. Soc. Sci. Lett. Lodz 53, 57 (2003).
  11. R. Schutzhold and W. G. Unruh, JETP Lett. 78, 431 (2003); Pis'ma Zh. Eksp. Teor. Fiz. 78, 899 (2003).
  12. G. Amelino-Camelia, gr-qc/0402092.
  13. S. Judes and M. Visser, Phys. Rev. D 68, 045001 (2003).
  14. B. Schutz, Geometrical Methods of Mathematical Physics (Cambridge University Press, Cambridge, 1980) p. 106.
  15. J. Lukierski, H. Ruego, and W. J. Zakrzewski, Ann. Phys. (N.Y.) 243, 90 (1995).
  16. P. Kosiński and P. Maślanka, Phys. Rev. D 68, 067702 (2003); S. Mignemi, Phys. Lett. A 316, 173 (2003); S. Gao and X. Wu, gr-qc/0311009; R. Aloisio, A. Galante, A. F. Grillo, E. Luzio, and F. Méndez, gr-qc/0410020.
  17. M. Arzano, gr-qc/0309077.
  18. F. de Felice and C. J. S. Clarke, Relativity on Curved Manifolds (Cambridge University Press, Cambridge, 1990).
  19. L. J. Garay, Int. J. Mod. Phys. A 10, 145 (1995); J. F. Barbero G., G. A. Mena Marugan, and E. J. S. Villaseñor, Phys. Rev. D 69, 044017 (2004).; X. Calmet, M. Graesser and S. D. H. Hsu, hep-th/0405033.
  20. J. L. Cortés and J. Gamboa, hep-th/0405285.
  21. D. Heyman, F. Hinteleitner, and S. Major, Phys. Rev. D 69, 105016 (2004).
  22. G. Calucci, Classical Quantum Gravity 21, 2339 (2004).
  23. F. Dalfovo, S. Giorgini, L. P. Pitaevskii, and S. Stringari, Rev. Mod. Phys. 71, 463 (1999).
  24. R. Penrose, in Quantum Concepts in Space and Time, edited by R. Penrose and C. J. Isham (Oxford, Clarendon, 1986), p. 129; in Proceedings of the 13th Conference on General Relativity and Gravitation, edited by R. J. Gleiser, C. N. Kozameh and O. M. Moreschi (IOP, London, 1992), p. 179; in Proceedings of the International Conference on Non-Accelerator Particle Physics, edited by R. Cowsik (World Scientific, Singapore, 1995), p. 416; Gen. Relativ. Gravit. 28, 581 (1996); in Physics Meets Philosophy at the Planck Scale, edited by C. Callender and N. Huggett (Cambridge University Press, Cambridge, 2001), p. 290; in Proceedings of the 9th Marcel Grossmann Meeting on General Relativity, edited by V. Gurzadyan, R. Jantzen, and R. Ruffini (World Scientific, Singapore, 2002), p. 3.
  25. F. Girelli, E. R. Livine, and D. Oriti, gr-qc/0406100.

Outline

Information

Phys. Rev. D 71, 045001– Published 1 February, 2005
  • Received 26 October 2004

© 2005 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation