Exploring the Cosmic Distance Duality Relation in High-Redshift Cosmology

Recent research has explored the Cosmic Distance Duality Relation (CDDR), a key concept in modern cosmology that links geometric distance measurements to redshift. The study, titled "High-redshift cosmography with a possible cosmic distance duality relation violation," authored by José F. Jesus, Mikael J. S. Gomes, Rodrigo F. L. Holanda, and Rafael C. Nunes, was submitted to arXiv on August 23, 2024. The authors utilized a cosmographic expansion method to model both luminosity and angular distances, aiming to stabilize the behavior of cosmographic series at high redshifts.

By integrating updated observational data from supernovae, baryon acoustic oscillations, and cosmic chronometers, the researchers sought to establish constraints on parametric models that quantify the CDDR. They noted that any deviations from the CDDR could indicate the necessity for new physics beyond the Lambda Cold Dark Matter (ΛCDM) model. However, the findings did not reveal significant deviations from the CDDR, suggesting consistency with the predictions of the ΛCDM model.

The implications of this research are noteworthy. The potential violations of the CDDR introduced new statistical correlations among key cosmographic parameters, including the Hubble constant (H₀), deceleration parameter (q₀), and jerk parameter (j₀). This work presents a novel approach for testing the CDDR, which could pave the way for future geometric observational tests to investigate possible deviations from standard cosmology. The full paper can be accessed at arXiv:2408.13390.