Dirac Decomposition of Wheeler-DeWitt Equation on the Bianchi Class A Models

Details Dirac Decomposition of Wheeler-DeWitt Equation on the Bianchi Class A Models Dirac Decomposition of Wheeler-DeWitt Equation on the Bianchi Class A Models

2001-01-17

arxiv.org/abs/gr-qc/0101066v3

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LaTeX, 14pages, no figures

Scientific paper

The Wheeler-DeWitt equation for the Bianchi Class A cosmological models is expressed generally in terms of the second-order differential equation like the Klein-Gordon equation. To obtain the positive-definite probability density, a new method extending the Dirac-Square-Root formalism, which factorizes the Wheeler-DeWitt equation into the first-order differential equation using the Pauli matrices, is investigated. The solutions to the Dirac type equation thus obtained are expressed in terms of two-component spinor form. The probability density defined by the solution is positive-definite and there is a conserved current. The newly found spin-like degree of freedom causes the universe to go through an early quantum stage of evolution with agitated anisotropy-oscillation like Zitterbewegung.

Affiliated with

Also associated with

No associations

Rating

Dirac Decomposition of Wheeler-DeWitt Equation on the Bianchi Class A Models 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 Dirac Decomposition of Wheeler-DeWitt Equation on the Bianchi Class A Models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dirac Decomposition of Wheeler-DeWitt Equation on the Bianchi Class A Models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-296160