Modular Spectral Cosmology: A Unified Proxy for Primordial Features and Late-Time Tensions
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| Natura: | Recurso digital |
| Lingua: | inglese |
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2026
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| _version_ | 1866901153306902528 |
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| author | Vijay, Kanhai |
| author_facet | Vijay, Kanhai |
| contents | <p>We propose a unified 4D Effective Field Theory (EFT) where the string dilaton's evolution is governed by the spectral geometry of its S-duality moduli space, <span>$\mathcal{M}= SL(2,\mathbb{Z})\backslash\mathbb{H}$</span>. Utilizing the Selberg Trace Formula as a geometric proxy for the 1-loop effective action, we derive a leading-order exponential potential <span>$V(\phi) \propto e^{-2\phi}$</span> through Weyl conformal rescaling. We demonstrate a "Spectral-Observational Bridge": large kinetic couplings <span>$\xi$</span> compress high-frequency modular fluctuations into log-periodic features within the observable CMB window (<span>$\ell \sim 10-1000$</span>). In the late universe, this framework naturally yields thawing quintessence that alleviates the <span>$H_0$</span> tension via a parametric degeneracy in the acoustic scale. Finally, we show that local gravity constraints are satisfied through a Chameleon mechanism with a characteristic <span>$\rho^{4/5}$</span> mass scaling, ensuring consistency with Cassini-era bounds.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19361871 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Modular Spectral Cosmology: A Unified Proxy for Primordial Features and Late-Time Tensions Vijay, Kanhai hubble tension cosmology string theory <p>We propose a unified 4D Effective Field Theory (EFT) where the string dilaton's evolution is governed by the spectral geometry of its S-duality moduli space, <span>$\mathcal{M}= SL(2,\mathbb{Z})\backslash\mathbb{H}$</span>. Utilizing the Selberg Trace Formula as a geometric proxy for the 1-loop effective action, we derive a leading-order exponential potential <span>$V(\phi) \propto e^{-2\phi}$</span> through Weyl conformal rescaling. We demonstrate a "Spectral-Observational Bridge": large kinetic couplings <span>$\xi$</span> compress high-frequency modular fluctuations into log-periodic features within the observable CMB window (<span>$\ell \sim 10-1000$</span>). In the late universe, this framework naturally yields thawing quintessence that alleviates the <span>$H_0$</span> tension via a parametric degeneracy in the acoustic scale. Finally, we show that local gravity constraints are satisfied through a Chameleon mechanism with a characteristic <span>$\rho^{4/5}$</span> mass scaling, ensuring consistency with Cassini-era bounds.</p> |
| title | Modular Spectral Cosmology: A Unified Proxy for Primordial Features and Late-Time Tensions |
| topic | hubble tension cosmology string theory |
| url | https://doi.org/10.5281/zenodo.19361871 |