Mathematics – Logic
Scientific paper
Oct 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980ssrv...27..109w&link_type=abstract
Space Science Reviews, vol. 27, Oct. 1980, p. 109-153. Research supported by the Royal Society of London, University of British
Mathematics
Logic
2
Astronomical Models, Cosmology, Dimensional Analysis, Universe, Dimensionless Numbers, Einstein Equations, Galactic Clusters, Relativity
Scientific paper
It is proposed that cosmology be based on the study of models which are free of arbitrary scales or units in order to provide a criterion which isolates models realized in nature from the large class allowed by the equations of physics. A dimensional Conspiracy Hypothesis is proposed based on the material parameters such as mass, density, and pressure, the constants of physics, and coordinates with realizable meanings only in cases when they occur together in dimensionless combinations in which components may vary with time and place. The Conspiracy Hypothesis applied to Einstein's general relativity yields a simple cosmological model consisting of static clusters of galaxies with inverse-square density profiles embedded in an expanding, homogeneous background.
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