Does locality fail at intermediate length scales?

Approaches to Quantum Gravity: Toward a New Understanding of Space, Time and Matter

Volumn 9780521860451, Issue , 2009, Pages 26-43

  Sorkin, R D ^a  

^a PERIMETER INSTITUTE FOR THEORETICAL PHYSICS   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

BROWNIAN MOVEMENT;

DIFFUSION CONSTANT; DIFFUSION EQUATIONS; MASSIVE PARTICLES; POTENTIAL EFFECTS; PROPAGATION OF WAVES; QUANTIZED FIELDS; QUANTUM SPACETIME; RECTILINEAR MOTION;

VISCOSITY;

EID: 84927053305     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1017/CBO9780511575549.004     Document Type: Chapter

References (18)

1. F. Dowker, J. Henson and R. D. Sorkin, "Quantum gravity phenomenology, Lorentz invariance and discreteness", Modern Physics Letters A, 19, (2004), 1829-1840, gr-qc/0311055.
2. R. M. Dudley, "Lorentz-invariant Markov processes in relativistic phase space", Arkiv für Matematik, 6(14) (1965), 241-268.
3. L. Bombelli, J. Henson and R. D. Sorkin, "Discreteness without symmetry breaking: a theorem" (in preparation).
4. See the article by Joe Henson in this volume (gr-qc/0601121).
5. L. Bombelli, J. Lee, D. Meyer and R. D. Sorkin, "Spacetime as a causal set", Phys. Rev. Lett., 59 (1987), 521-524.
6. R. D. Sorkin, "Causal sets: discrete gravity (Notes for the Valdivia Summer School)", in Lectures on Quantum Gravity (Series of the Centro De Estudios Científicos), proceedings of the Valdivia Summer School, held January 2002 in Valdivia, Chile, ed. Andrés Gomberoff and Don Marolf (Plenum, 2005), gr-qc/0309009.
7. F. Dowker, "Causal sets and the deep structure of spacetime", in 100 Years of Relativity - Space-time Structure: Einstein and Beyond" ed. Abhay Ashtekar (World Scientific, to appear), gr-qc/0508109.
8. J. Collins, A. Perez, D. Sudarsky, L. Urrutia, and H. Vucetich, "Lorentz invariance and quantum gravity: an additional fine-tuning problem?", gr-qc/0403053.
9. K. Namsrai, Nonlocal Quantum Field Theory and Stochastic Quantum Mechanics (D. Reidel, 1986).
10. J. W. Moffat, "Finite nonlocal gauge field theory", Phys. Rev. D, 41 (1990), 1177-1184.
11. See the chapter by Fotini Markopoulou in this volume; also S. O. Bilson-Thompson, F. Markopoulou and L. Smolin, "Quantum gravity and the standard model", hep-th/0603022.
12. A. Valentini, "Black holes, information loss, and hidden variables", hep-th/0407032.
13. A. R. Daughton, The recovery of locality for causal sets and related topics, Ph.D. dissertation (Syracuse University, 1993).
14. R. Salgado, "Toward a quantum dynamics for causal sets" (Ph.D. dissertation, Syracuse University, 2008).
15. F. Dowker, J. Henson and R. D. Sorkin, "Wave propagation on a causet I: direct transmission along causal links" (in preparation).
16. M. Ahmed, S. Dodelson, P. Greene and R. D. Sorkin, "Everpresent ", Phys. Rev. D, 69, 103523 (2004), astro-ph/0209274.
17. N. Kaloper and D. Mattingly, "Low energy bounds on Poincaré violation in causal set theory", astro-ph/0607485.
18. R. D. Sorkin, "Indications of causal set cosmology", Int. J. Theor. Ph., 39 (7) 2000, 1731-1736 (an issue devoted to the proceedings of the Peyresq IV conference, held June-July 1999, Peyresq, France), gr-qc/0003043, http://www.physics.syr.edu/∼sorkin/some.papers/.