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| Format: | Preprint |
| Published: |
2025
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| Online Access: | https://arxiv.org/abs/2505.24420 |
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| _version_ | 1866909717835546624 |
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| author | Safarzadeh-Maleki, Farzin |
| author_facet | Safarzadeh-Maleki, Farzin |
| contents | We present an exact, non-perturbative and non-singular ansatz for the universe's expansion history through a novel analytic scale factor, $a(t)=e^{H(t)} { (1-e^{-k(t)t}) }^{b(t)}$, which reproduces the observed sequence of cosmic epochs and bridges inflation to late-time acceleration, as a unified solution, eliminating ad hoc $Λ$CDM epoch splicing. The model's dynamically constrained parameters $(H(t), k(t), b(t))$ ensure smooth phase transitions, as confirmed by analytical and numerical analysis of the expansion history.
The derived Hubble parameter incorporates quantum-inspired corrections through its functional form, offering a phenomenological approach to integrate quantum effects into classical cosmic evolution. While not derived from fundamental theory, it provides a well motivated framework within brane inspired cosmology with structure exhibiting parallels to brane-world scenarios: the parameter $k(t)$ acts as an effective screening scale, and the non-monotonic $k(t)t$ implies epoch-dependent gravitational coupling. The scaling relation $\sim ρ(t)λ(t)$ emerges naturally, offering a unified description of constant and variable-tension brane-like behavior at the phenomenological level. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_24420 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Unifying Cosmic Epochs via Quantum-Corrected Expansion with Brane-World Parallels Safarzadeh-Maleki, Farzin High Energy Physics - Theory We present an exact, non-perturbative and non-singular ansatz for the universe's expansion history through a novel analytic scale factor, $a(t)=e^{H(t)} { (1-e^{-k(t)t}) }^{b(t)}$, which reproduces the observed sequence of cosmic epochs and bridges inflation to late-time acceleration, as a unified solution, eliminating ad hoc $Λ$CDM epoch splicing. The model's dynamically constrained parameters $(H(t), k(t), b(t))$ ensure smooth phase transitions, as confirmed by analytical and numerical analysis of the expansion history. The derived Hubble parameter incorporates quantum-inspired corrections through its functional form, offering a phenomenological approach to integrate quantum effects into classical cosmic evolution. While not derived from fundamental theory, it provides a well motivated framework within brane inspired cosmology with structure exhibiting parallels to brane-world scenarios: the parameter $k(t)$ acts as an effective screening scale, and the non-monotonic $k(t)t$ implies epoch-dependent gravitational coupling. The scaling relation $\sim ρ(t)λ(t)$ emerges naturally, offering a unified description of constant and variable-tension brane-like behavior at the phenomenological level. |
| title | Unifying Cosmic Epochs via Quantum-Corrected Expansion with Brane-World Parallels |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2505.24420 |