Revealing evolution of Dark Energy density from observations

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Main Authors: Blanco, José, Cárdenas, Víctor H., Campuzano, Cuauhtémoc
Format: Preprint
Published: 2025
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author Blanco, José
Cárdenas, Víctor H.
Campuzano, Cuauhtémoc
author_facet Blanco, José
Cárdenas, Víctor H.
Campuzano, Cuauhtémoc
contents We present a model--independent reconstruction of the normalized dark energy density function, $X(z) \equiv ρ_{\mathrm{de}}(z)/ρ_{\mathrm{de}}(0)$, derived directly from the DES-SN5YR Type~Ia supernova sample. The analysis employs an inversion formalism that relates the derivative of the distance modulus, $μ^{\prime}(z)$, to the expansion history, allowing the data to determine the shape of $X(z)$ without assuming a specific equation--of--state or dark energy density parameterization. A statistically optimized binning of the supernova sample (using 17 intervals following the Freedman--Diaconis criterion and 34 following Scott's rule) ensures a stable estimation of $μ^{\prime}(z)$ and a controlled propagation of uncertainties throughout the inversion process. The resulting $X(z)$ remains statistically consistent with a constant value within one standard deviation across the entire redshift range, showing no significant evidence for an evolving dark energy component at present. In a direct comparison among $Λ$CDM, CPL, and the quadratic $X^2(z)$ parameterization -- where CPL and $X^2(z)$ each introduce two additional free parameters relative to $Λ$CDM -- the CPL model attains the best statistical agreement with the data, albeit only marginally and strictly within this restricted model set. These outcomes indicate that current observations are compatible with an almost constant dark energy density ($w \simeq -1$), while the inversion framework remains sensitive to subtle departures that forthcoming high--precision surveys could resolve.
format Preprint
id arxiv_https___arxiv_org_abs_2510_12881
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Revealing evolution of Dark Energy density from observations
Blanco, José
Cárdenas, Víctor H.
Campuzano, Cuauhtémoc
Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
We present a model--independent reconstruction of the normalized dark energy density function, $X(z) \equiv ρ_{\mathrm{de}}(z)/ρ_{\mathrm{de}}(0)$, derived directly from the DES-SN5YR Type~Ia supernova sample. The analysis employs an inversion formalism that relates the derivative of the distance modulus, $μ^{\prime}(z)$, to the expansion history, allowing the data to determine the shape of $X(z)$ without assuming a specific equation--of--state or dark energy density parameterization. A statistically optimized binning of the supernova sample (using 17 intervals following the Freedman--Diaconis criterion and 34 following Scott's rule) ensures a stable estimation of $μ^{\prime}(z)$ and a controlled propagation of uncertainties throughout the inversion process. The resulting $X(z)$ remains statistically consistent with a constant value within one standard deviation across the entire redshift range, showing no significant evidence for an evolving dark energy component at present. In a direct comparison among $Λ$CDM, CPL, and the quadratic $X^2(z)$ parameterization -- where CPL and $X^2(z)$ each introduce two additional free parameters relative to $Λ$CDM -- the CPL model attains the best statistical agreement with the data, albeit only marginally and strictly within this restricted model set. These outcomes indicate that current observations are compatible with an almost constant dark energy density ($w \simeq -1$), while the inversion framework remains sensitive to subtle departures that forthcoming high--precision surveys could resolve.
title Revealing evolution of Dark Energy density from observations
topic Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2510.12881