Quantum cosmology and stationary states

Astronomy and Astrophysics – Astronomy

Scientific paper

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Cosmology, Einstein Equations, Gravitation Theory, Metric Space, Quantum Theory, Astronomical Models, Formalism, Schroedinger Equation, Universe

Scientific paper

A model for quantum gravity in which the conformal part of the metric is quantized using the path integral formalism is presented. It is shown that stationary states exist for a Friedman universe, thus preventing its collapse. Einstein's gravitational equations are modified to take into account the effects of quantum conformal fluctuations. A closed Friedman model is outlined in terms of well-defined stationary states. The ground state sets a lower bound to the scale factor preventing the collapse. A possible explanation for matter creation and the quantum nature of matter is suggested.

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