Zobrazeno 1 - 10
of 67
pro vyhledávání: '"Sorkin, R. D."'
Publikováno v:
Phys.Rev. D71 (2005) 024029
One can view quantum mechanics as a generalization of classical probability theory that provides for pairwise interference among alternatives. Adopting this perspective, we ``quantize'' the classical random walk by finding, subject to a certain condi
Externí odkaz:
http://arxiv.org/abs/gr-qc/0403085
Autor:
Dowker, H. F., Sorkin, R. D.
Publikováno v:
Proceedings of the international meeting on ``Spin-statistics connections and commutation relations, experimental tests and theoretical implications,'' Capri, Italy, May 31-June 4, 2000, eds. R.C. Hilborn and G.M. Tino, pp. 205-218
We present a review of the spin and statistics of topological geons, particles in 3+1 quantum gravity. They can have half-odd-integral spin and fermionic statistics and since the underlying gravitational field is tensorial and bosonic, this is an exa
Externí odkaz:
http://arxiv.org/abs/gr-qc/0101042
Publikováno v:
Phys.Rev. D63 (2001) 084026
We study the ``renormalization group action'' induced by cycles of cosmic expansion and contraction, within the context of a family of stochastic dynamical laws for causal sets derived earlier. We find a line of fixed points corresponding to the dyna
Externí odkaz:
http://arxiv.org/abs/gr-qc/0009063
Autor:
Rideout, D. P., Sorkin, R. D.
Publikováno v:
Phys.Rev. D63 (2001) 104011
We find evidence for a continuum limit of a particular causal set dynamics which depends on only a single ``coupling constant'' $p$ and is easy to simulate on a computer. The model in question is a stochastic process that can also be interpreted as 1
Externí odkaz:
http://arxiv.org/abs/gr-qc/0003117
Autor:
Rideout, D. P., Sorkin, R. D.
Publikováno v:
Phys.Rev.D61:024002,2000
Starting from certain causality conditions and a discrete form of general covariance, we derive a very general family of classically stochastic, sequential growth dynamics for causal sets. The resulting theories provide a relatively accessible ``half
Externí odkaz:
http://arxiv.org/abs/gr-qc/9904062
Publikováno v:
Class.Quant.Grav. 16 (1999) 3457-3481
A change of spatial topology in a causal, compact spacetime cannot occur when the metric is globally Lorentzian. One can however construct a causal metric from a Riemannian metric and a Morse function on the background cobordism manifold, which is Lo
Externí odkaz:
http://arxiv.org/abs/gr-qc/9901063
Autor:
Dowker, H. F., Sorkin, R. D.
Publikováno v:
Class.Quant.Grav.15:1153-1167,1998
We review the mechanism in quantum gravity whereby topological geons, particles made from non-trivial spatial topology, are endowed with nontrivial spin and statistics. In a theory without topology change there is no obstruction to ``anomalous'' spin
Externí odkaz:
http://arxiv.org/abs/gr-qc/9609064
Publikováno v:
Int.J.Mod.Phys. A11 (1996) 823-844
The first and second homology groups are computed for configuration spaces of framed three-dimensional point particles with annihilation included, when up to two particles and an antiparticle are present.
Externí odkaz:
http://arxiv.org/abs/hep-th/9511078
Autor:
Sorkin, R. D., Woolgar, E.
Publikováno v:
Class.Quant.Grav. 13 (1996) 1971-1994
We recast the tools of ``global causal analysis'' in accord with an approach to the subject animated by two distinctive features: a thoroughgoing reliance on order-theoretic concepts, and a utilization of the Vietoris topology for the space of closed
Externí odkaz:
http://arxiv.org/abs/gr-qc/9508018
A positive mass theorem for General Relativity Theory is proved. The proof is 4-dimensional in nature, and relies completely on arguments pertaining to causal structure, the basic idea being that positive energy-density focuses null geodesics, and co
Externí odkaz:
http://arxiv.org/abs/gr-qc/9301015