Relation between the Red-shifts of Quasi-stellar Objects and their Radio Magnitudes

Mathematics – Logic

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Scientific paper

IN a previous letter1 we showed that in a sample of thirty identified quasi-stellar objects no sensible correlation exists between red-shifts z and radio fluxes S, though a log N-log S plot of these same objects gives a slope compatible with the usual radio source counts. We therefore stated: ``Thus if we adopt the usual distance-volume interpretation of the result NS3/2 ~ constant, we must conclude that the red-shifts have nothing to do with the distance''. A number of authors have criticized this conclusion2-4, not on the basis of our actual statement, but apparently on what the authors have read into our letter on their own account. Thus Longair2 begins: ``Hoyle and Burbidge have recently examined the red-shifts of a number of quasi-stellar radio sources, and have plotted their radio flux densities (S) against red-shift (z); they conclude that the results are inconsistent with a cosmological interpretation of these red-shifts''.

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