Abstract
A recent group theory analysis (1) of masses and spins in curved space-time strongly suggests that the rest mass of all particles varies with cosmic time. In this analysis a generalization of the Casimir operator of the Poincar4 group was considered for the case of isotropic and homogeneous cosmological models and the following results was obtained: given a particle (or any other system held together by electromagnetic or strong forces), the constancy of its rest mass, m, has to be replaced by the constancy of the product m(t)R(t) , where re(t) is the rest mass and R(t) is the four-dimensional radius of curvature of the universe at cosmic time t. (Cosmic t ime t is that canonical t ime in which the Robertson-Walker metric takes its standard form. This time is absolute in that it does not depend on any fundamental constants.) A class of cosmological models which satisfy m ( t ) R ( t ) = const was obtained (2). I t contains spherical, euclidean, and pseudospherical spaces which all have R(t)oc SS(t) and hence give
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