The homogeneity scale in the Local Universe: model-independent estimate from S-PLUS DR4 blue galaxies
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arXiv
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| Natura: | Preprint |
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2025
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| _version_ | 1866917084177367040 |
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| author | Franco, Camila Avila, Felipe Bernui, Armando Ribeiro, Ulisses Bom, Clécio R. Cortesi, Arianna Telles, E. Schoenell, W. Ribeiro, T. Kanaan, A. de Oliveira, C. Mendes |
| author_facet | Franco, Camila Avila, Felipe Bernui, Armando Ribeiro, Ulisses Bom, Clécio R. Cortesi, Arianna Telles, E. Schoenell, W. Ribeiro, T. Kanaan, A. de Oliveira, C. Mendes |
| contents | We present a model-independent estimate of the angular homogeneity scale in the Local Universe by analysing data from the Southern Photometric Local Universe Survey (S-PLUS). Two complementary estimators are employed: (i) a parametric approach fitting the power-law of the two-point angular correlation function, which yields the homogeneity scale $θ_H = 9.01_{-3.61}^{+8.43}\;{\rm deg}$; and (ii) a non-parametric fractal correlation dimension method, computing $\mathcal{D}_2(θ)$ directly from the correlation function, which results in $θ_H = 6.28_{-4.43}^{+8.72}\;{\rm deg}$. From the mock catalogues generated with the GLASS algorithm, we find that the estimates from both methods are within $1 σ$ of the median values obtained by applying both methodologies to the mocks. The transition scale to homogeneity, according to the $Λ$CDM model, is defined for matter, i.e. $b = 1$. Measurements of this scale with observational data clearly depends on the cosmic tracer analysed, and a calibration is necessary. Our study with blue galaxies, with bias $b \simeq 1$, provides a suitable estimate for comparison. Indeed, the results obtained in both approaches are compared with the value expected in the $Λ$CDM model, obtaining a good concordance. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_12532 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The homogeneity scale in the Local Universe: model-independent estimate from S-PLUS DR4 blue galaxies Franco, Camila Avila, Felipe Bernui, Armando Ribeiro, Ulisses Bom, Clécio R. Cortesi, Arianna Telles, E. Schoenell, W. Ribeiro, T. Kanaan, A. de Oliveira, C. Mendes Cosmology and Nongalactic Astrophysics We present a model-independent estimate of the angular homogeneity scale in the Local Universe by analysing data from the Southern Photometric Local Universe Survey (S-PLUS). Two complementary estimators are employed: (i) a parametric approach fitting the power-law of the two-point angular correlation function, which yields the homogeneity scale $θ_H = 9.01_{-3.61}^{+8.43}\;{\rm deg}$; and (ii) a non-parametric fractal correlation dimension method, computing $\mathcal{D}_2(θ)$ directly from the correlation function, which results in $θ_H = 6.28_{-4.43}^{+8.72}\;{\rm deg}$. From the mock catalogues generated with the GLASS algorithm, we find that the estimates from both methods are within $1 σ$ of the median values obtained by applying both methodologies to the mocks. The transition scale to homogeneity, according to the $Λ$CDM model, is defined for matter, i.e. $b = 1$. Measurements of this scale with observational data clearly depends on the cosmic tracer analysed, and a calibration is necessary. Our study with blue galaxies, with bias $b \simeq 1$, provides a suitable estimate for comparison. Indeed, the results obtained in both approaches are compared with the value expected in the $Λ$CDM model, obtaining a good concordance. |
| title | The homogeneity scale in the Local Universe: model-independent estimate from S-PLUS DR4 blue galaxies |
| topic | Cosmology and Nongalactic Astrophysics |
| url | https://arxiv.org/abs/2511.12532 |