Quantum mechanics forbids an initial or final singularity in a closed FRW universe

Details Quantum mechanics forbids an initial or final singularity in a closed FRW universe Quantum mechanics forbids an initial or final singularity in a closed FRW universe

1999-03-07

arxiv.org/abs/gr-qc/9903025v1

Gen.Rel.Grav. 31 (1999) 1429-1430

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

2 pages

Scientific paper

The existence of singularities in a closed FRW universe depends on the assumption that general relativity is valid for distances less than the Planck length. However, stationary state wave functions of the Schrodinger equation for a closed radiation-dominated FRW universe derived by Elbaz et al (General Relativity and Gravitation 29, 481, 1997) are zero at zero radius of curvature. Thus, even if general relativity is assumed valid at distances less than the Planck length, quantum mechanics seems to forbid singularities in a closed FRW universe.

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