The derivation of the coupling constant in the new Self Creation Cosmology

Abstract

It has been shown that the new Self Creation Cosmology theory predicts a universe with a total density parameter of one third yet spatially flat, which would appear to accelerate in its expansion. Although requiring a moderate amount of 'cold dark matter' the theory does not have to invoke the hypotheses of inflation, 'dark energy', 'quintessence' or a cosmological constant (dynamical or otherwise) to explain observed cosmological features. The theory also offers an explanation for the observed anomalous Pioneer spacecraft acceleration, an observed spin-up of the Earth and an problematic variation of G observed from analysis of the evolution of planetary longitudes. It predicts identical results as General Relativity in standard experimental tests but three definitive experiments do exist to falsify the theory. In order to match the predictions of General Relativity, and observations in the standard tests, the new theory requires the Brans Dicke omega parameter that couples the scalar field to matter to be -3/2 . Here it is shown how this value for the coupling parameter is determined by the theory's basic assumptions and therefore it is an inherent property of the principles upon which the theory is based.