Emergence of Time

Details Emergence of Time Emergence of Time

1997-11-17

arxiv.org/abs/gr-qc/9711051v1

Phys.Lett.A250:48-54,1998

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, latex, no figures

Scientific paper

10.1016/S0375-9601(98)00824-X

In the groupoid approach to noncommutative quantization of gravity, gravitational field is quantized in terms of a C*-algebra A of complex valued funcions on a groupoid G (with convolution as multiplication). In the noncommutative quantum gravitational regime the concepts of space and time are meaningless. We study the "emergence of time" in the transition process from the noncommutative regime to the standard space-time geometry. Precise conditions are specified under which modular groups of the von Neumann algebra generated by A can be defined. These groups are interpreted as a state depending time flow. If the above conditions are further refined one obtains a state independent time flow. We show that quantum gravitational dynamics can be expressed in terms of modular groups.

Affiliated with

Also associated with

No associations

Rating

Emergence of Time does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Emergence of Time, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Emergence of Time will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-500847