Complex-mass particles in the Robertson - Walker - de Sitter space.

Mathematics – Logic

Scientific paper

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Scientific paper

The relativistic scalar wave equation specialized for the Robertson-Walker space, and its solutions for the case of de Sitter expansion, have been considered and interpreted. It is shown that in de Sitter universe particles occurred in a resonance form Z0 = M3+iμ0 bearing complex mass and complex energy with their imaginary part μ0 = 3Hh/2c2 strictly connected to the Hubble parameter. A perfect fluid of imaginary-mass particles as a model of cosmological ether at this stage is proposed. Propagation of matter waves in such a medium may be conceived as an inelastic scattering process mediated by the slower-than-light particles with imaginary rest mass iμ0.

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