By his paper "Units and Reality" the author has shown, that the transformation of the fundamental physical constants into systems of units, which differ from the International System of Units (SI), is a powerful tool to uncover correlations - sought for a long time — between the important dimensionless constants α = 1/137.036 and mp/me =1836.15 on the one hand and the numeric values of the constants with dimensions on the other hand.These numeric value correlations become exact equations if one transfers the physical constants c, h, G etc. into a system with a length unit of 1.0128 m, a time unit of 1.0112 s and a mass unit of 1.1531 kg.During the last years the author consequently continued his previous investigations and discovered a new numeric correlation between the Hubble radius and the number 1836.15.The numeric correlations in combination with an equation, which the author found 2012 through systematic numerical investigations lead to a new cosmological model which is based only on powers of 2π/α = 861,023 and mp/me =1836.15.