Quantised De Sitter space and the connection to the Pauli principle

Abstract

It will be shown that the introduction of a fundamental lengthl _o permits the definition of commutator rules between different observation systems, represented by the Poincaré groups. This fact leads to the model of a quantized De Sitter space, and the formulation of a non-local quantum field theory will be obtained. The Dirac spinors will be derived from the invariance of the quadratic form, defining De Sitter groups, and a connection to Pauli's exclusion principle can be understood by the same reason of a quantised space. A description of the structure of elementary particles involves a particular importance of the groupSU(3).