Quantum Space-Time as a Quantum Causal Set
| dc.creator | Raptis, Ioannis | |
| dc.date | 2002-01-02 | |
| dc.date | 2002-06-01 | |
| dc.date.accessioned | 2026-07-07T03:26:34Z | |
| dc.date.available | 2026-07-07T03:26:34Z | |
| dc.description | A recently proposed algebraic representation of the causal set model of the small-scale structure of space-time of Sorkin et al. is briefly reviewed and expanded. The algebraic model suggested, called quantum causal set, is physically interpreted as a locally finite, causal and quantal version of the kinematical structure of general relativity: the 4-dimensional Lorentzian space-time manifold and its continuous local orthochronous Lorentz symmetries. We discuss various possible dynamical scenarios for quantum causal sets mainly by using sheaf-theoretic ideas, and we entertain the possibility of constructing an inherently finite and genuinely smooth space-time background free quantum theory of gravity. At the end, based on the quantum causal set paradigm, we anticipate and roughly sketch out a potential future development of a noncommutative topology, sheaf and topos theory suitable for quantum space-time structure and its dynamics. | |
| dc.description | 8 pages, ReV-TeX, substantially revised, expanded and updated version | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0201004 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0201004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/34092 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | Mathematical Physics | |
| dc.title | Quantum Space-Time as a Quantum Causal Set | |
| dc.type | text |