%0 Journal Article
%T A Correspondence between the Tensions <i>H</i><sub>0</sub> and <i>S</i><sub>8</sub>, and the Fundamental Constants <i>G</i> and <i>c</i>
%A Pierpaolo Perrucci
%J Journal of High Energy Physics, Gravitation and Cosmology
%P 544-553
%@ 2380-4335
%D 2025
%I Scientific Research Publishing
%R 10.4236/jhepgc.2025.112037
%X Since the discovery of the Hubble tension and the Sigma 8 tension, the scientific world is still puzzling over the possible causes. We have noticed an inhomogeneous nature of the measurements between the two ends of the scale, and extrapolated a similar amplitude for both, through the fractional change formula. We have matched the resulting value over the age of universe, with the ratio between the constant of universal gravitation <i>G</i> and the constant of the speed of light in vacuum <i>c</i>. The magnitude factor over the age of universe was shown to match with the ratio between <i>G</i> and <i>c</i>, hinting to a divergence of cosmological nature. A further correspondence found with the Weinberg angle from the ratio of <i>G</i> over the radial acceleration scale value of Mond theories, the same as the Radial Acceleration Relation, supports the hypothesis of a discrepancy caused by a phase transition, like that of the electroweak theory, responsible for the emergence of the mass in <i>Z</i> boson, and of the photon.
%K Gravitation
%K Cosmological Parameters
%K Electroweak Theory
%K Cosmological Tensions
%K Dark Matter
%K Dark Energy
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=142320