Quantum uncertainty in the final state of gravitational collapse

Narlikar, J. V. (1977) Quantum uncertainty in the final state of gravitational collapse Nature, 269 . pp. 129-130. ISSN 0028-0836

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Official URL: http://www.nature.com/nature/journal/v269/n5624/ab...

Related URL: http://dx.doi.org/10.1038/269129a0


The ratio of the action S to h (Planck's constant/2π) determines whether the physical system in question is to be treated classically or quantum mechanically. In the area of classical physics the ratio S/h is large compared with unity, and the governing equations are given by δS=0. Quantum mechanics begins to be important when S≲h , and the definitive approach of classical physics is replaced by quantum uncertainty. We discuss here the behaviour of a physical system which is initially in the classical domain (S≫h) but whose later development may well take it into the region of quantum uncertainty. We consider a specific example of this-the gravitational collapse of a spherical dust ball. While classically such a dust ball ends up in a space-time singularity, the corresponding quantum mechanical result suggests a range oƒ final states some oƒ which are non-singular.

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Deposited On:27 May 2011 08:36
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