$α$-attractor inflation modified by GUP in light of ACT observations
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915547841560576 |
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| author | Heidarian, Hana Solbi, Milad Heydari, Soma Karami, Kayoomars |
| author_facet | Heidarian, Hana Solbi, Milad Heydari, Soma Karami, Kayoomars |
| contents | Here, the $α$-attractor inflation is investigated within a framework incorporating a minimal measurable length, as implemented by the Generalized Uncertainty Principle (GUP). The GUP modifications to the Friedmann equations and cosmological perturbation parameters are employed to assess the model observational viability against the Atacama Cosmology Telescope (ACT) data. Our results indicate that in the $r-n_s$ plane, the predictions of the standard $α$-attractor model ($β=0$) lies near the $2σ$ boundary of joint observations. More interestingly enough is that in the presence of GUP effect, the predictions of the model for the GUP parameter $β\gtrsim O(10^{13})$ shifts into the $68\%$ CL interval. This value for $β$ is in well agreement with upper bounds on the GUP parameter deduced from cosmological analysis as well as quantum and gravitational experiments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_10547 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $α$-attractor inflation modified by GUP in light of ACT observations Heidarian, Hana Solbi, Milad Heydari, Soma Karami, Kayoomars Cosmology and Nongalactic Astrophysics General Relativity and Quantum Cosmology High Energy Physics - Theory Here, the $α$-attractor inflation is investigated within a framework incorporating a minimal measurable length, as implemented by the Generalized Uncertainty Principle (GUP). The GUP modifications to the Friedmann equations and cosmological perturbation parameters are employed to assess the model observational viability against the Atacama Cosmology Telescope (ACT) data. Our results indicate that in the $r-n_s$ plane, the predictions of the standard $α$-attractor model ($β=0$) lies near the $2σ$ boundary of joint observations. More interestingly enough is that in the presence of GUP effect, the predictions of the model for the GUP parameter $β\gtrsim O(10^{13})$ shifts into the $68\%$ CL interval. This value for $β$ is in well agreement with upper bounds on the GUP parameter deduced from cosmological analysis as well as quantum and gravitational experiments. |
| title | $α$-attractor inflation modified by GUP in light of ACT observations |
| topic | Cosmology and Nongalactic Astrophysics General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2506.10547 |