An exercise in "anhomomorphic logic"
| dc.creator | Sorkin, Rafael D. | |
| dc.date | 2007-03-30 | |
| dc.date | 2007-03-31 | |
| dc.date.accessioned | 2026-07-07T10:59:05Z | |
| dc.date.available | 2026-07-07T10:59:05Z | |
| dc.description | A classical logic exhibits a threefold inner structure comprising an algebra of propositions `A', a space of ``truth values'' `V', and a distinguished family of mappings `phi' from propositions to truth values. Classically A is a Boolean algebra, V=Z_2, and the admissible maps phi:A-->Z_2 are {\it homomorphisms}. If one admits a larger set of maps, one obtains an anhomomorphic logic that seems better suited to quantal reality (and the needs of quantum gravity). I explain these ideas and illustrate them with three simple examples. | |
| dc.description | plainTeX, 14 pages, no figures. To appear in a special volume of {\it Journal of Physics}, edited by L. Diosi, H-T Elze, and G. Vitiello. Most current version is available at http://www.physics.syr.edu/~sorkin/some.papers/ (or wherever my home-page may be) | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0703276 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0703276 | |
| dc.identifier | J.Phys.Conf.Ser.67:012018,2007 | |
| dc.identifier | doi:10.1088/1742-6596/67/1/012018 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/187327 | |
| dc.subject | Quantum Physics | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | An exercise in "anhomomorphic logic" | |
| dc.type | text |