Dirac Decomposition of Wheeler-DeWitt Equation on the Bianchi Class A Models
| dc.creator | Yamazaki, Hidetomo | |
| dc.date | 2001-01-17 | |
| dc.date | 2001-01-25 | |
| dc.date.accessioned | 2026-07-07T03:25:36Z | |
| dc.date.available | 2026-07-07T03:25:36Z | |
| dc.description | 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. | |
| dc.description | LaTeX, 14pages, no figures | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0101066 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0101066 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/33773 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Dirac Decomposition of Wheeler-DeWitt Equation on the Bianchi Class A Models | |
| dc.type | text |