Relating loop quantum cosmology to loop quantum gravity: Symmetric sectors and embeddings
| dc.creator | Engle, Jonathan | |
| dc.date | 2007-01-24 | |
| dc.date | 2007-12-28 | |
| dc.date.accessioned | 2026-07-07T11:57:44Z | |
| dc.date.available | 2026-07-07T11:57:44Z | |
| dc.description | In this paper we address the meaning of states in loop quantum cosmology (LQC), in the context of loop quantum gravity. First, we introduce a rigorous formulation of an embedding proposed by Bojowald and Kastrup, of LQC states into loop quantum gravity. Then, using certain holomorphic representations, a new class of embeddings, called b-embeddings, are constructed, following the ideas of [1]. We exhibit a class of operators preserving each of these embeddings, and show their consistency with the LQC quantization. In the b-embedding case, the classical analogues of these operators separate points in phase space. Embedding at the gauge and diffeomorphism invariant level is discussed briefly in the conclusions. | |
| dc.description | 30 pages; 2 proofs added, notation changed, minor corrections and changes; organizational changes, discussion of sectors and embeddings better distinguished, discussion of interpretation added, another proof added, title changed; minor corrections, final version published in CQG | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0701132 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0701132 | |
| dc.identifier | Class.Quant.Grav.24:5777-5802,2007 | |
| dc.identifier | doi:10.1088/0264-9381/24/23/004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/205985 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Relating loop quantum cosmology to loop quantum gravity: Symmetric sectors and embeddings | |
| dc.type | text |