Symplectic vs pseudo-Euclidean space-time with extra dimensions
| dc.creator | Pirogov, Yu. F. | |
| dc.date | 2001-05-13 | |
| dc.date.accessioned | 2026-07-07T03:44:28Z | |
| dc.date.available | 2026-07-07T03:44:28Z | |
| dc.description | It is conjectured that the symplectic structure of space-time is superior to the metric one. Instead of the commonly adopted pseudo-orthogonal groups SO(1,d-1), d\ge4, the complex symplectic ones Sp(2l,C), l\ge1 are proposed as the local structure groups of the extended space-time. A discrete series of the metric space-times of the particular dimensionalities d=4l^2 and signatures, with l(2l-1) time and l(2l+1) spatial directions, defined over the set of the Hermitian second-rank spin-tensors is proposed as an alternative to the pseudo-Euclidean space-times with extra dimensions. The one-dimensional time-like direction remaining invariant under fixed boosts makes it possible the non-relativistic causality description despite the presence of extra times. | |
| dc.description | 10 pages, LaTeX. Report presented at the XI-th Int. School "Particles and Cosmology", Baksan Valley, 18-24 April, 2001 | |
| dc.identifier | https://arxiv.org/abs/hep-ph/0105112 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/0105112 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/40576 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Symplectic vs pseudo-Euclidean space-time with extra dimensions | |
| dc.type | text |