Astronomy phenomenological analysis of redshift-distance power laws |
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| Authors: | IE Segal JF Nicoll |
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| Institution: | (1) Massachusetts Institute for Technology, Cambridge, MA, 02139, U.S.A.;(2) Institute for Defense Analyses, Alexandria, VA, 22311, U.S.A. |
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| Abstract: | The traditional astronomical literature accepts the linear redshift-distance law on the basis of its internal consistency
with accepted models of the history of the universe more than on nontrivial clearly objective tests of the linear law for
directly observed quantities. The reluctance to depend on such tests rested historically on the assumed large variation in
the intrinsic luminosity of extragalactic objects and a distrust of curve-fitting and statistics. But such tests are eminently
feasible on the basis of modern objectively specified samples and up-to-date statistical methodology. This paper compares
red-shift distance relations of the form z=k r
p, for real values of p. Data from the visible, infrared, radio, and X-ray bands are examined. The deviation of predicted and observed apparent magnitudes,
(a), and the difference between observed and predicated slope of the magnitude-log (z) plots,(b), are used to compare values of p. In summary, the p=1 values (corresponding to standard linear law) are more deviant than any other value of p, 1<p<=4for test (a) and more deviant than any value of p, 1<p<=3for test (b) except for marginal features in the smallest(radio) sample and in the lowest redshift sample. Bright subsamples
and a morphologically homogeneous subsample of elliptic galaxies are also tested with similar results. In contrast, the predications
for p=2 are reasonably accurate and close to optimal among all values of p explored. The p=2 case is predicted by the chronometric cosmology and in agreement with the independent analysis of Troitskii.
This revised version was published online in July 2006 with corrections to the Cover Date. |
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