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Main Authors: Avila, Felipe, Rivera, Alexander Bonilla, Nunes, Rafael C., Holanda, R. F. L., Bernui, Armando
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2505.24543
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author Avila, Felipe
Rivera, Alexander Bonilla
Nunes, Rafael C.
Holanda, R. F. L.
Bernui, Armando
author_facet Avila, Felipe
Rivera, Alexander Bonilla
Nunes, Rafael C.
Holanda, R. F. L.
Bernui, Armando
contents In this work, we perform a statistical inference of the classical background law governing the evolution of the temperature of the cosmic microwave background radiation (CMB), given by $T_{\rm CMB}(z) = T_0(1 + z)$. To this end, we employ Gaussian Process (GP) regression techniques to reconstruct the temperature evolution based on two observational datasets: (i) CMB-Sunyaev-Zel'dovich (SZ) cluster measurements and (ii) CMB-interstellar medium (ISM) interaction data. Our analysis reveals interesting results that may suggest potential deviations from the standard temperature-redshift relation, particularly at low redshifts ($z < 0.5$), where discrepancies up to $\sim$2$σ$ are observed. Additionally, we identify a mild but noteworthy tension, also at the $\sim$2$σ$ level, between our GP inferred value of the present-day CMB temperature, $T_{\rm CMB}(z=0)$, and the precise direct measurement from the COBE/FIRAS experiment. We also explore possible phenomenological implications of our findings, including interpretations associated with possible variations in fundamental constants, such as the fine-structure constant $α$, which could provide a physical explanation for the observed deviations at low redshift.
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publishDate 2025
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spellingShingle Revisiting the temperature evolution law of the CMB with gaussian processes
Avila, Felipe
Rivera, Alexander Bonilla
Nunes, Rafael C.
Holanda, R. F. L.
Bernui, Armando
Cosmology and Nongalactic Astrophysics
In this work, we perform a statistical inference of the classical background law governing the evolution of the temperature of the cosmic microwave background radiation (CMB), given by $T_{\rm CMB}(z) = T_0(1 + z)$. To this end, we employ Gaussian Process (GP) regression techniques to reconstruct the temperature evolution based on two observational datasets: (i) CMB-Sunyaev-Zel'dovich (SZ) cluster measurements and (ii) CMB-interstellar medium (ISM) interaction data. Our analysis reveals interesting results that may suggest potential deviations from the standard temperature-redshift relation, particularly at low redshifts ($z < 0.5$), where discrepancies up to $\sim$2$σ$ are observed. Additionally, we identify a mild but noteworthy tension, also at the $\sim$2$σ$ level, between our GP inferred value of the present-day CMB temperature, $T_{\rm CMB}(z=0)$, and the precise direct measurement from the COBE/FIRAS experiment. We also explore possible phenomenological implications of our findings, including interpretations associated with possible variations in fundamental constants, such as the fine-structure constant $α$, which could provide a physical explanation for the observed deviations at low redshift.
title Revisiting the temperature evolution law of the CMB with gaussian processes
topic Cosmology and Nongalactic Astrophysics
url https://arxiv.org/abs/2505.24543