Mathematics
Scientific paper
Dec 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983basi...11..297n&link_type=abstract
Astronomical Society of India, Bulletin, vol. 11, Dec. 1983, p. 297-302.
Mathematics
Astronomical Models, Big Bang Cosmology, Quantum Theory, Universe, Flatness, Horizon, Manifolds (Mathematics), Singularity (Mathematics)
Scientific paper
The three known defects of the standard big bang models of the classical cosmology are described, and a quantum cosmological argument is presented which explains them. The three defects include the spacetime singularity of big bang models in the clasical cosmological framework; the existence of a particle horizon which severely limits communication across distant parts of the universe; and the fine tuning of the universe which is required in order to account for the present range of its mean density. Using a simple path integral formalism for quantum cosmology it is suggested that: (1) it is extremely unlikely that the universe evolved to the present state from quantum states of singularity and particle horizon; and (2) of all the possible Robertson-Walker models which could evolve out of quantum fluctuations of a Minkowski universe, the flat model is found to be the most probable.
Narlikar Jayant V.
Padmanabhan Thanu
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