A non-parametric test of variability of Type Ia supernovae luminosity and CDDR

The first observational evidence for cosmic acceleration appeared from Type Ia supernovae (SNe Ia) Hubble diagram two different groups. However, the empirical treatment of SNe and their ability to show have been subject some debate in literature. In this work we probe assumption redshift-independent absolute magnitude $(M_{\mathrm{B}})$ along with its correlation spatial curvature ($\Omega_{k0}$) distance duality relation (CDDR) parameter ($\eta(z)$). This is divided into parts. Firstly, check validity CDDR which relates luminosity ($d_L$) angular diameter ($d_A$) via redshift. We use Pantheon dataset combined $H(z)$ measurements derived chronometers. Further, four redshift-dependent parametrizations $(\eta(z))$ are used. fairly consistent almost every parametrization within a $2\sigma$ confidence level both flat non-flat universe. second part, assume emphasize on variability $M_{\mathrm{B}}$ $\Omega_{k0}$. choose $M_{\mathrm{B}}$. results indicate no evolution level. For all parametrizations, best fit value $\Omega_{k0}$ indicates universe at However mild inclination towards non also observed. examined dependence choice priors $H_0$.