Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2004-06-11
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
7 pages, send to PRD
Scientific paper
Using the canonical quantum theory of spherically symmetric pure gravitational systems, we present a direct correspondence between the Friedmann-Robertson-Walker (FRW) cosmological model in the interior of a Schwarzschild black hole and the nth energy eigenstate of a linear harmonic oscillator. Such type of universe has a quantized mass of the order of the Planck mass and harmonic oscillator wave functions
Ortiz Camilo
Rosales Juan J.
Socorro José
Tkach Vladimir I.
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