Accessing the homogeneity scale with 21 cm intensity mapping surveys
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arXiv
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| Auteurs principaux: | , , , , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866918524365045760 |
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| author | Bizarria, Bruno B. Novaes, Camila P. Avila, Felipe Mokeddem, Rahima da Costa, Helissa H. Wuensche, Carlos A. Silva, Gabriel A. S. |
| author_facet | Bizarria, Bruno B. Novaes, Camila P. Avila, Felipe Mokeddem, Rahima da Costa, Helissa H. Wuensche, Carlos A. Silva, Gabriel A. S. |
| contents | The homogeneity scale, $R_{\rm H}$, offers a fundamental test of the Cosmological Principle, yet it has not yet been measured with 21cm intensity mapping surveys. A key limitation for such a measurement is the telescope beam, which artificially smooths the observed signal. We quantify this effect using the two-point correlation function and the correlation dimension, $\mathcal{D}_2(r)$, to model how beam convolution suppresses intrinsic clustering. For any given redshift $z$, we identify a maximum beam width, $σ_{\rm max}(z)$, beyond which the homogeneity scale cannot be recovered. This limit defines an inaccessible region in the $σ\times z$ parameter space, where $R_{\rm H}$ is erased by beam smoothing. Applying this framework to several current and upcoming radio telescopes, we assess their ability to probe $R_{\rm H}$. Our results provide the first quantitative forecast of the instrumental requirements for measuring the cosmic homogeneity scale with 21cm IM, and establish a theoretical basis for future observational applications. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_13931 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Accessing the homogeneity scale with 21 cm intensity mapping surveys Bizarria, Bruno B. Novaes, Camila P. Avila, Felipe Mokeddem, Rahima da Costa, Helissa H. Wuensche, Carlos A. Silva, Gabriel A. S. Cosmology and Nongalactic Astrophysics The homogeneity scale, $R_{\rm H}$, offers a fundamental test of the Cosmological Principle, yet it has not yet been measured with 21cm intensity mapping surveys. A key limitation for such a measurement is the telescope beam, which artificially smooths the observed signal. We quantify this effect using the two-point correlation function and the correlation dimension, $\mathcal{D}_2(r)$, to model how beam convolution suppresses intrinsic clustering. For any given redshift $z$, we identify a maximum beam width, $σ_{\rm max}(z)$, beyond which the homogeneity scale cannot be recovered. This limit defines an inaccessible region in the $σ\times z$ parameter space, where $R_{\rm H}$ is erased by beam smoothing. Applying this framework to several current and upcoming radio telescopes, we assess their ability to probe $R_{\rm H}$. Our results provide the first quantitative forecast of the instrumental requirements for measuring the cosmic homogeneity scale with 21cm IM, and establish a theoretical basis for future observational applications. |
| title | Accessing the homogeneity scale with 21 cm intensity mapping surveys |
| topic | Cosmology and Nongalactic Astrophysics |
| url | https://arxiv.org/abs/2511.13931 |