Year: 2003
Type: article
Abstract: It is conjectured that in the origin of spacetime there lies a symplectic rather than metric structure. The complex symplectic symmetry Sp (2 l , C ), l ≥1 instead of the pseudoorthogonal one SO (1, d −1), d ≥4 is proposed as the spacetime local structure group. A discrete sequence of the metric spacetimes of the fixed dimensionalities d =(2 l ) 2 and signatures, with l (2 l −1) timelike and l (2 l +1) spacelike directions, defined over the set of Hermitian second-rank spin tensors, is considered as an alternative to the pseudo-Euclidean extra dimensional spacetimes. The basic concepts of the symplectic framework are developed in general, and the ordinary and next-to-ordinary spacetime cases with l =1, 2, respectively, are elaborated in more detail. In particular, the scheme provides the rationale for the four-dimensionality and 1+3 signature of the ordinary spacetime.
Source: Physics of Atomic Nuclei
DOI: 10.1134/1.1540668
Author: Yu. F. Pirogov
Institution: Institute for High Energy Physics
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1541316488