Space as a 'bucket of dust'

Details Space as a 'bucket of dust' Space as a 'bucket of dust'

Jun 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985gregr..17..545n&link_type=abstract

General Relativity and Gravitation (ISSN 0001-7701), vol. 17, June 1985, p. 545-557.

Mathematics

Probability

14

Borel Sets, Cosmic Dust, Cosmology, Points (Mathematics), Probability Distribution Functions, Space-Time Functions, Curvature, Dimensions

Scientific paper

A pregeometry of space is considered, in which the only structure imposed on individual points is a uniform probability of adjacency between any two arbitrarily chosen points. This probability is not specified (but only assumed small) and neither is the total number of points specified (but is assumed large). It is shown that the most likely distribution of points has similarities with a closed three-dimensional space of constant positive curvature, in particular, the number of points at a given distance from an arbitrary origin is proportional to sine-squared of the distance from that origin.

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