Events and cosmological spaces through twistors in the geometric (Clifford) algebra formalism
| dc.creator | Arcaute, Elsa | |
| dc.creator | Lasenby, Anthony | |
| dc.creator | Doran, Chris | |
| dc.date | 2006-04-20 | |
| dc.date | 2006-09-23 | |
| dc.date.accessioned | 2026-07-07T07:10:20Z | |
| dc.date.available | 2026-07-07T07:10:20Z | |
| dc.description | Events in Minkowski space-time can be obtained from the intersection of two twistors with no helicity. These can be represented within the geometric (Clifford) algebra formalism, in a particular conformal space that is constructed from a quantum system of two particles. The realisation takes place in the multiparticle space-time algebra. This representation allows us to identify an event with the wave-function for a non-charged Klein-Gordon particle. A more general point can also be obtained, if the space is complexified and the twistors have non-zero helicity. In this case, such a point is no longer an event, but it can be identified with the wave-function for a charged Klein-Gordon particle. Other spaces of cosmological relevance can also be constructed using the 2-particle representation of the conformal space, as is the case for de Sitter and anti-de Sitter spaces. Furthermore, we show that Friedmann-Robertson-Walker spaces, with and without big bang, are fully described through two twistors, which are expressed within our formalism in terms of entities belonging to quantum mechanics: the Dirac matrix $γ_0$, a massless maximally entangled state and its complex conjugate. | |
| dc.description | 25 pages, no figures. Typos and presentation revised | |
| dc.identifier | https://arxiv.org/abs/math-ph/0604048 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0604048 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/111392 | |
| dc.subject | Mathematical Physics | |
| dc.title | Events and cosmological spaces through twistors in the geometric (Clifford) algebra formalism | |
| dc.type | text |