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

Fuente: arXiv
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Autores principales: Avila, Felipe, Oliveira, Fernanda, Franco, Camila, Lopes, Maria, Holanda, Rodrigo, Nunes, Rafael C., Bernui, Armando
Formato: Preprint
Publicado: 2025
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author Avila, Felipe
Oliveira, Fernanda
Franco, Camila
Lopes, Maria
Holanda, Rodrigo
Nunes, Rafael C.
Bernui, Armando
author_facet Avila, Felipe
Oliveira, Fernanda
Franco, Camila
Lopes, Maria
Holanda, Rodrigo
Nunes, Rafael C.
Bernui, Armando
contents 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 $Λ$CDM 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 $2σ$ confidence level across the redshift range explored, supporting its validity even at high redshifts.
format Preprint
id arxiv_https___arxiv_org_abs_2509_07848
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Probing the Cosmic Distance Duality Relation via Non-Parametric Reconstruction for High Redshifts
Avila, Felipe
Oliveira, Fernanda
Franco, Camila
Lopes, Maria
Holanda, Rodrigo
Nunes, Rafael C.
Bernui, Armando
Cosmology and Nongalactic Astrophysics
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 $Λ$CDM 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 $2σ$ confidence level across the redshift range explored, supporting its validity even at high redshifts.
title Probing the Cosmic Distance Duality Relation via Non-Parametric Reconstruction for High Redshifts
topic Cosmology and Nongalactic Astrophysics
url https://arxiv.org/abs/2509.07848