Warning: count(): Parameter must be an array or an object that implements Countable in /web/htdocs/www.newnuclearscience.eu/home/joomla/plugins/content/fieldsattachment/fieldsattachment.php on line 145

F. Cardone, A. Marrani, R. Mignani

Abstract

In this paper, we introduce the concept of N-dimensional generalized Minkowski space, i.e. a space endowed with a (in general non-diagonal) metric tensor, whose coefficients do depend on a set of non-metrical coodinates. This is the first of a series of papers devoted to the investigation of the Killing symmetries of generalized Minkowski spaces. In particular, we discuss here the infinitesimal-algebraic structure of the space-time rotations in such spaces. It is shown that the maximal Killing group of these spaces is the direct product of a generalized Lorentz group and a generalized translation group. We derive the explicit form of the generators of the generalized Lorentz group in the self-representation and their related, generalized Lorentz algebra. The results obtained are specialized to the case of a 4-dimensional, ”deformed” Minkowski space M4 , i.e. a pseudoeuclidean space with metric coefficients depending on energy.

Foundation of Physics 34, 4, 617 (2004)

arXiv:hep-th/0505088