Mass Parameter Quantization in the FRW Cosmological Model

Details Mass Parameter Quantization in the FRW Cosmological Model Mass Parameter Quantization in the FRW Cosmological Model

Mar 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007ijtp...46..553t&link_type=abstract

International Journal of Theoretical Physics, Volume 46, Issue 3, pp.553-561

Physics

Quantum Gravity, Quantum Cosmology, Dual Simmetry

Scientific paper

Using the canonical quantum theory apply to spherically symmetric pure gravitational systems, we present the study of the closed Friedmann-Robertson-Walker (FRW) cosmological model filled with pressureless matter (dust) content as a toy model. The Wheeler-DeWitt equation is view as the Schrödinger equation for the linear harmonic oscillator with energy E. We show that such type of universe has a quantized masses of the order of the Planck mass and harmonic oscillator wave functions, where a dual symmetry emerge among the quantum parameters.

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