Spin Networks and Quantum Gravity

Details Spin Networks and Quantum Gravity Spin Networks and Quantum Gravity

1995-05-04

arxiv.org/abs/gr-qc/9505006v1

Phys.Rev. D52 (1995) 5743-5759

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

42 pages

Scientific paper

10.1103/PhysRevD.52.5743

We introduce a new basis on the state space of non-perturbative quantum gravity. The states of this basis are linearly independent, are well defined in both the loop representation and the connection representation, and are labeled by a generalization of Penrose's spin netoworks. The new basis fully reduces the spinor identities (SU(2) Mandelstam identities) and simplifies calculations in non-perturbative quantum gravity. In particular, it allows a simple expression for the exact solutions of the Hamiltonian constraint (Wheeler-DeWitt equation) that have been discovered in the loop representation. Since the states in this basis diagnolize operators that represent the three geometry of space, such as the area and volumes of arbitrary surfaces and regions, these states provide a discrete picture of quantum geometry at the Planck scale.

Affiliated with

Also associated with

No associations

Rating

Spin Networks and Quantum Gravity 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 Spin Networks and Quantum Gravity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spin Networks and Quantum Gravity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-431738