Quantum mechanics of a miniuniverse

Physics

Scientific paper

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Scientific paper

From the equations of general relativity for the radius of a closed homogeneous isotropic universe a Schrödinger equation for a particle is obtained. In the case of a universe filled with pressureless matter (dust) the equation is like that for the s states of a hydrogenlike atom. The miniuniverses obtained in this way have quantized masses of the order of the Planck mass.

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