Resolved Fractal Big Bang via Dimension-Flow Cosmology, Observational Constraints and CMB Signatures of the Ibaguner Fractal Operator
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| Natura: | Recurso digital |
| Lingua: | inglese |
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2026
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| author | İBAGÜNER, SİNAN |
| author_facet | İBAGÜNER, SİNAN |
| contents | <p>We develop a non-singular cosmological framework in which the Big Bang is reinterpreted as a fractal phase transition governed by a scale-dependent Hausdorff dimension DH(a). Within the Ibaguner Fractal Operator (IFO) paradigm, spacetime emerges dynamically from a lower-dimensional fractal regime. We derive a dimension-flow equation unifying DH ≈ 2.5, 4.23, and 4, and compute its imprint on the Cosmic Microwave Background (CMB) angular power spectrum. Using Planck 2018 TT data, we perform residual analysis, chi-square comparison, and Markov Chain Monte Carlo (MCMC) parameter estimation. We find that observational constraints restrict the fractal correction to a perturbative regime, while remaining consistent with high-precision cosmological data.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19487741 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Resolved Fractal Big Bang via Dimension-Flow Cosmology, Observational Constraints and CMB Signatures of the Ibaguner Fractal Operator İBAGÜNER, SİNAN Big Bang DH ≈ 2.5, 4.23, and 4 Cosmic Microwave Background (CMB) Angular Power Spectrum Planck 2018 TT data Residual Analysis Chi-Square Comparison Markov Chain Monte Carlo (MCMC) Ibaguner fractal Operator (IFO) <p>We develop a non-singular cosmological framework in which the Big Bang is reinterpreted as a fractal phase transition governed by a scale-dependent Hausdorff dimension DH(a). Within the Ibaguner Fractal Operator (IFO) paradigm, spacetime emerges dynamically from a lower-dimensional fractal regime. We derive a dimension-flow equation unifying DH ≈ 2.5, 4.23, and 4, and compute its imprint on the Cosmic Microwave Background (CMB) angular power spectrum. Using Planck 2018 TT data, we perform residual analysis, chi-square comparison, and Markov Chain Monte Carlo (MCMC) parameter estimation. We find that observational constraints restrict the fractal correction to a perturbative regime, while remaining consistent with high-precision cosmological data.</p> |
| title | Resolved Fractal Big Bang via Dimension-Flow Cosmology, Observational Constraints and CMB Signatures of the Ibaguner Fractal Operator |
| topic | Big Bang DH ≈ 2.5, 4.23, and 4 Cosmic Microwave Background (CMB) Angular Power Spectrum Planck 2018 TT data Residual Analysis Chi-Square Comparison Markov Chain Monte Carlo (MCMC) Ibaguner fractal Operator (IFO) |
| url | https://doi.org/10.5281/zenodo.19487741 |