UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS

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Conference: Bucharest University Faculty of Physics 2004 Meeting


Section: Nuclear and Elementary Particles Physics


Title:
Elementary particles in curved spaces


Authors:
I. Lazanu


Affiliation:
University of Bucharest

Faculty of Physics, Department of Atomic and Nuclear Physics

POBox MG-11, Bucharest-Magurele, Romania

e-mail: I_Lazanu@yahoo.co.uk


E-mail


Keywords:
Space-time groups, Symmetries


Abstract:
Currently, in particle physics the theories are developed in Minkowski space-time starting from the Poincaré group. A physical theory in flat space can be seen as the limit of a more general physical theory in a curved space. At the present time, a theory of particles in curved space does not exist, and thus the only possibility is to extend the existent theories in these spaces. A formidable obstacle to the extension of physical models is the absence of groups of motion in more general Riemann spaces. A space of constant curvature has a group of motion that, although differs from that of a flat space, has the same number of parameters and could permit some generalisations. In this contribution we try to investigate some physical implications of the presumable existence of elementary particles in curved space. In de Sitter space (dS) the invariant rest mass is a combination of the Poincaré rest mass and the generalised angular momentum of a particle and it permits to establish a correlation with the vacuum energy and with the cosmological constant. The consequences are significant because in an experiment the local structure of space-time departs from the Minkowski space and becomes a dS or AdS space-time. Discrete symmetry characteristics of the dS/AdS group suggest some arguments for the possible existence of the "mirror matter".