| Автор | Guillermo A Mena Marugán |
| Дата выпуска | 1994-09-01 |
| dc.description | We argue that if the space of physical states spanned by the wormhole wavefunctions can be equipped with a Hilbert structure, such a Hilbert space must coincide with that of the Lorentzian gravitational system under consideration. This statement is rigorously proved in the case of a Friedmann--Robertson--Walker spacetime minimally coupled to a massless scalar field. For this minisuperspace, the physical inner product can be determined by imposing a set of Lorentzian reality conditions, and the Hilbert space obtained in this way turns out to admit a basis of wormhole solutions. As a particular consequence, every proper quantum state can be interpreted as a superposition of wormholes. We also discuss various admissible choices of bases of wormholes for this model and show that the wavefunctions that form each of these bases are eigenfunctions of a complete set of compatible observables. The associated eigenvalues then provide a set of well-defined wormhole parameters, in the sense that they can be employed to specify the different elements of the bases of wormholes. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Bases of wormholes in quantum cosmology |
| Тип | paper |
| DOI | 10.1088/0264-9381/11/9/006 |
| Electronic ISSN | 1361-6382 |
| Print ISSN | 0264-9381 |
| Журнал | Classical and Quantum Gravity |
| Том | 11 |
| Первая страница | 2205 |
| Последняя страница | 2217 |
| Аффилиация | Guillermo A Mena Marugán; Center for Gravitational Physics and Geometry, Pennsylvania State University, 104 Davey Laboratory, University Park, PA 16802-6300, USA |
| Выпуск | 9 |
