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| Main Author: | |
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| Format: | Recurso digital |
| Language: | English |
| Published: |
Zenodo
2026
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| Subjects: | |
| Online Access: | https://doi.org/10.5281/zenodo.20162464 |
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Table of Contents:
- <p class="MsoNormal"><span>We construct a covariant scalar-field cosmology derived from universal properties of discrete scale invariance (DSI) and complex scaling exponents, motivated by oscillatory structures appearing in analytic number theory. When a system exhibits complex scaling symmetry with exponent</span></p> <p class="MsoNormal"><span>λₙ = −γ + iω</span></p> <p class="MsoNormal"><span>its observables acquire log-periodic corrections of the form a⁻γ cos(ω ln a). We apply this structure to a canonical scalar-field cosmology, producing an exponentially damped oscillatory potential and a late-time attractor solution that asymptotically recovers ΛCDM.</span></p> <p><span>The model generates correlated oscillations in H(z), fσ8(z), and P(k), all periodic in ln a. A full empirical pipeline is provided for implementation in CLASS/CAMB and Bayesian inference frameworks including Cobaya and MontePython</span></p>