The Karahan Cosmic Vortex Model (Part 2.1): Mathematical Framework and Torsional Dynamics
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| Natura: | Recurso digital |
| Lingua: | inglese |
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Zenodo
2026
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| _version_ | 1866902036341063680 |
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| author | Karahan, Asil |
| author_facet | Karahan, Asil |
| contents | <div dir="auto">This submission provides the formal mathematical framework and physical validation for the Karahan Cosmic Vortex Model. Building upon the foundational concepts introduced in Part I, this paper focuses on the integration of Kerr-geometry-induced torsion as a replacement for the cosmological constant (Lambda) and a solution to the current "Crisis in Cosmology."</div> <div dir="auto">Core Theoretical Components:</div> <div dir="auto">1. Modified Field Equations: The model extends the Einstein Field Equations by incorporating a Kerr-Flux Tensor (T_mu_nu_Kerr_Flux). This represents the angular momentum inherited from a "parent" Kerr singularity during the cosmic bounce. The fundamental equation is: R_mu_nu - 1/2 R g_mu_nu + Lambda g_mu_nu = 8pi G / c^4 * (T_mu_nu_Matter + T_mu_nu_Kerr_Flux).</div> <div dir="auto">2. Dynamic Spin-Down Function j(t): A central feature of this model is the introduction of a time-dependent torsion parameter j(t). This variable accounts for the decay of initial cosmic spin over 13.8 billion years, providing a geometric explanation for the observed expansion of space.</div> <div dir="auto">3. Resolution of the Hubble Tension: The "j-shift" (the evolution of torsion over cosmic time) naturally resolves the discrepancy between early-universe (CMB) and late-universe (Local SNIa/DESI 2026) measurements of the Hubble constant (H0).</div> <div dir="auto">4. Observational Consistency: The model aligns with 2026 data regarding Galaxy Spin Alignment and matter clustering (S8), suggesting that large-scale structures are influenced by the residual "Vortex Flow" of the early universe.</div> <div dir="auto">Conclusion:</div> <div dir="auto">The Karahan Model Part II demonstrates that by treating spacetime as a torsional manifold (Einstein-Cartan framework), we can eliminate the need for "placeholder physics" such as Dark Energy. It offers a mechanically closed and causally linked system that explains the universe's evolution through inherited rotation.</div> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19187649 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The Karahan Cosmic Vortex Model (Part 2.1): Mathematical Framework and Torsional Dynamics Karahan, Asil Cosmology, Kerr Metric, Einstein-Cartan Theory, Torsion, Hubble Tension, Dark Energy, Karahan Model, Astrophysics <div dir="auto">This submission provides the formal mathematical framework and physical validation for the Karahan Cosmic Vortex Model. Building upon the foundational concepts introduced in Part I, this paper focuses on the integration of Kerr-geometry-induced torsion as a replacement for the cosmological constant (Lambda) and a solution to the current "Crisis in Cosmology."</div> <div dir="auto">Core Theoretical Components:</div> <div dir="auto">1. Modified Field Equations: The model extends the Einstein Field Equations by incorporating a Kerr-Flux Tensor (T_mu_nu_Kerr_Flux). This represents the angular momentum inherited from a "parent" Kerr singularity during the cosmic bounce. The fundamental equation is: R_mu_nu - 1/2 R g_mu_nu + Lambda g_mu_nu = 8pi G / c^4 * (T_mu_nu_Matter + T_mu_nu_Kerr_Flux).</div> <div dir="auto">2. Dynamic Spin-Down Function j(t): A central feature of this model is the introduction of a time-dependent torsion parameter j(t). This variable accounts for the decay of initial cosmic spin over 13.8 billion years, providing a geometric explanation for the observed expansion of space.</div> <div dir="auto">3. Resolution of the Hubble Tension: The "j-shift" (the evolution of torsion over cosmic time) naturally resolves the discrepancy between early-universe (CMB) and late-universe (Local SNIa/DESI 2026) measurements of the Hubble constant (H0).</div> <div dir="auto">4. Observational Consistency: The model aligns with 2026 data regarding Galaxy Spin Alignment and matter clustering (S8), suggesting that large-scale structures are influenced by the residual "Vortex Flow" of the early universe.</div> <div dir="auto">Conclusion:</div> <div dir="auto">The Karahan Model Part II demonstrates that by treating spacetime as a torsional manifold (Einstein-Cartan framework), we can eliminate the need for "placeholder physics" such as Dark Energy. It offers a mechanically closed and causally linked system that explains the universe's evolution through inherited rotation.</div> |
| title | The Karahan Cosmic Vortex Model (Part 2.1): Mathematical Framework and Torsional Dynamics |
| topic | Cosmology, Kerr Metric, Einstein-Cartan Theory, Torsion, Hubble Tension, Dark Energy, Karahan Model, Astrophysics |
| url | https://doi.org/10.5281/zenodo.19187649 |