About a problem of time choice in cosmology.

Mathematics – Logic

Scientific paper

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Cosmological Models: Time Scales

Scientific paper

For an isotropic cosmological model with conformally invariant scalar field a class of gauge conditions is obtained which lead to Hamilton's dynamics with time-independent Hamiltonian, where this Hamiltonian coincides with the Hamiltonian of harmonic oscillator. Furthermore, quantum dynamics of the model is considered, and the presence of a non-removable singularity in its quantum version is shown.

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