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A relativistic dynamical group recently introduced by Aghassi, Roman, and Santilli for the quantum mechanics of elementary particles is briefly reviewed. It is shown in detail that the algebra of this group can be obtained by contracting the Lie algebra of the inhomogeneous de Sitter group ISO(3, 2). Some crucial concepts of the proposed new group are shown to appear in a new light when viewed in the context of a de Sitter world. The emergence of proper time as an additional kinematical variable is discussed in some detail.
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Aghassi et al. (1970) studied this question.
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