English

Probing the Cosmic Distance Duality Relation via Non-Parametric Reconstruction for High Redshifts

Cosmology and Nongalactic Astrophysics 2025-09-10 v1

Abstract

We test the validity of the cosmic distance duality relation (CDDR) by combining angular diameter distance and luminosity distance measurements from recent cosmological observations. For the angular diameter distance, we use data from transverse baryon acoustic oscillations and galaxy clusters. On the other hand, the luminosity distance is obtained from Type Ia supernovae in the Pantheon+ sample and from quasar catalogs. To reduce the large dispersion in quasar luminosity distances, we apply a selection criterion based on their deviation from the Λ\LambdaCDM model and implement a binning procedure to suppress statistical noise. We reconstruct the CDDR using Gaussian Processes, a non-parametric supervised machine learning method. Our results show no significant deviation from the CDDR within the 2σ2\sigma confidence level across the redshift range explored, supporting its validity even at high redshifts.

Keywords

Cite

@article{arxiv.2509.07848,
  title  = {Probing the Cosmic Distance Duality Relation via Non-Parametric Reconstruction for High Redshifts},
  author = {Felipe Avila and Fernanda Oliveira and Camila Franco and Maria Lopes and Rodrigo Holanda and Rafael C. Nunes and Armando Bernui},
  journal= {arXiv preprint arXiv:2509.07848},
  year   = {2025}
}

Comments

11 pages, 9 figures