Mathematics – Logic
Scientific paper
Oct 1961
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1961natur.192...57g&link_type=abstract
Nature, Volume 192, Issue 4797, pp. 57 (1961).
Mathematics
Logic
Scientific paper
DIRAC'S cosmology was based on the principle ``that any two of the very large dimensionless numbers (of the order 1039 and 1078), occurring in Nature, are connected by a simple mathematical relation in which the coefficients are of the order of magnitude unity''1. From this principle Dirac deduced that the gravitational `constant' G ~ (epoch)-1. In order to describe a cosmological model according to the principles of the general theory of relativity he then changed the units of distance and time so as to make G constant. With the new units the metric can be written: with R(t) = t⅔. Afterwards I considered this model, and by making certain assumptions, which appeared reasonable, obtained G ~ 1t, t ~ 4 × 109 years2. This gives the values: for Hubble's constant H = ṘR and the acceleration parameter q = RṘṘ2.
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