What is the Real Shape of the Hubble Diagram, z = H₀*D or z+1= e^H0*t? Analysis of the SN1a Supernovae and Gamma Ray Burst Redshift/Magnitude Data including the High Redshift Range up to z = 8.1

Abstract

Analyses of the Hubble diagrams are presented for SN1a supernovae and gamma ray bursts in the redshift ranges z = 0.01–1.3 and 0.034–8.1, respectively. Data are presented on the typical z/μ scale and also on the less common yet increasingly sensitive photon flight time t/(z+1) scale. The primary conclusion is that on the basis of the presently accessible data in the redshift range z = 0.01–8.1, the slope of the Hubble diagram is, or is extremely close to, exponential.