Conformal Groups and Related Symmetries Physical Results and Mathematical Background pp 63-76 | Cite as
De — sitter representations and the particle concept, studied in an ur-theoretical cosmological model
I. Symmetries and Dynamics
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Abstract
The theory of urs (basic two-valued observables) is used to describe particles in cosmic space-time. Cosmic position space is described as S3, interpreted as a homogeneous space of SU(2). An expanding model of the universe is locally approximated by de Sitter spaces. Irreducible representations of the de Sitter group are explicitly constructed in ur theory. From these, Poincaré group representations in Minkowski space with well-defined rest mass are deduced by a special rule of contraction.
Keywords
Irreducible Representation Cosmological Model Minkowski Space Tensor Space Cosmological Time
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© Springer-Verlag 1986