Quantum gravity phenomenology, Lorentz invariance and discreteness

Modern Physics Letters A

Volumn 19, Issue 24, 2004, Pages 1829-1840

  Dowker, Fay ^a,b   Henson, Joe ^c   Sorkin, Rafael D ^b,d  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

^b PERIMETER INSTITUTE FOR THEORETICAL PHYSICS   (Canada)

^c UNIVERSITY OF CALIFORNIA   (United States)

^d SYRACUSE UNIVERSITY   (United States)

Author keywords

Causal sets; Lorentz violation; Quantum gravity phenomenology

Indexed keywords

ARTICLE; ENERGY; GRAVITY; LORENTZ INVARIANCE; MODEL; PHENOMENOLOGY; QUANTUM THEORY; SPACE; TIME;

EID: 4043113385     PISSN: 02177323     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217732304015026     Document Type: Article

References (16)

1. L. Bombelli, J.-H. Lee, D. Meyer and R. Sorkin, Space-time as a causal set, Phys. Rev. Lett. 59, 521 (1987).
2. R. D. Sorkin, First steps with causal sets, in General Relativity and Gravitational Physics: Proc. of the Ninth Italian Conference of the same name, Capri, Italy, September 1990, eds. R. Cianci, R. de Ritis, M. Francaviglia, G. Marmo, C. Rubano and P. Scudellaro (World Scientific, 1991), pp. 68-90.
3. R. D. Sorkin, Forks in the road, on the way to quantum gravity, Int. J. Theor. Phys. 36, 2759 (1997), http://arXiv.org/abs/gr-qc/9706002.
4. S. W. Hawking, A. R. King and P. J. McCarthy, A new topology for curved space-time which incorporates the causal, differential, and conformal structures, J. Math. Phys. 17, 174 (1976).
5. D. B. Malament, The class of continuous timelike curves determines the topology of spacetime, J. Math. Phys. 18, 1399 (1977).
6. J. Noldus, A Lorentzian Lipschitz, Gromov-Hausdorff notion of distance, gr-qc/0308074.
7. T. L. Carus, On the nature of things, 50 B.C.E. translated by W. E. Leonard, http://www.gutenberg.org/index/by-author/lul.html.
8. G. Amelino-Camelia, Quantum-gravity phenomenology: Status and prospects, Mod. Phys. Lett. A17, 899 (2002).
9. R. D. Sorkin, Stochastic evolution on a manifold of states, Ann. Phys. 168, 119 (1986).
10. F. Debbasch and J. Rivet, A diffusion equation from the relativistic Ornstein-Uhlenbeck process, J. Stat. Phys. 90, 1179 (1998).
11. F. Perrin, Etude mathématique du mouvement brownien de rotation, Ann. Ecole Norm. Sup 45, 1 (1928).
12. L. Anchordoqui, T. Paul, S. Reucroft and J. Swain, Ultrahigh energy cosmic rays: The state of the art before the auger observatory, Int. J. Mod. Phys. A18, 2229 (2003).
13. A. Rueda, H. Sunahata and B. Haisch, Electromagnetic zero point field as active energy source in the intergalactic medium, gr-qc/9906067.
14. S. Yoshida, G. Sigl and S. Lee, Extremely high energy neutrinos, neutrino hot dark matter and the highest energy cosmic rays, Phys. Rev. Lett. 81, 5505 (1998).
15. T. Jacobson, S. Liberati, D. Mattingly and F. W. Stecker, New limits on Planck scale Lorentz violation in QED, astro-ph/0309681.
16. B. Collett and P. Pearle, Wavefunction collapse and random walk, quant-ph/0208009.