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| Médium: | Recurso digital |
| Jazyk: | angličtina |
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Zenodo
2026
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| On-line přístup: | https://doi.org/10.5281/zenodo.20162464 |
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| _version_ | 1866902071594188800 |
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| author | Desmond, Timothy |
| author_facet | Desmond, Timothy |
| 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> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_20162464 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Log-Periodic Cosmology from Complex Scaling Symmetry Desmond, Timothy Cosmology, Geometry, Maths, Bayes, DEsi, Cycle, The Efimov constant, RG Limit Cycles, Hubble, Euclid, Panthenon <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> |
| title | Log-Periodic Cosmology from Complex Scaling Symmetry |
| topic | Cosmology, Geometry, Maths, Bayes, DEsi, Cycle, The Efimov constant, RG Limit Cycles, Hubble, Euclid, Panthenon |
| url | https://doi.org/10.5281/zenodo.20162464 |