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2025
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| Online Access: | https://doi.org/10.5281/zenodo.17305094 |
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| author | Medani, Haithem |
| author_facet | Medani, Haithem |
| contents | <p>General Multidimensional Relativity (GMDR) is a theoretical and computational framework that establishes a deterministic bridge between string theory and observational cosmology. </p> <p>Scope note: In this work, “General Multidimensional Relativity (GMDR)” denotes an empirically anchored framework built on stabilized RS/GW backgrounds that links string-inspired compactifications to cosmology via a single derived parameter . It does not claim to be a full covariant replacement for GR; “General” refers to the multidimensional warp-ladder construction and its observational pipeline.</p> <p>This pipeline implements the core components:</p> <p>- Flux stabilization of complex structure and axio-dilaton (z, τ) near the large-complex-structure (LCS) point using mirror-quintic periods and the Gukov-Vafa-Witten (GVW) superpotential.<br>- Single-modulus KKLT stabilization of the Kähler modulus T.<br>- A physical deformed-conifold warp-factor PDE in axisymmetric reduction, solving for the warp exponent ω from e^{A_min}.<br>- Construction of the RS-consistent warped-layer ladder: c_n / c_4 = exp[ω (n-4)], with anchor C = exp(Ω_{10}) where Ω_{10} = 6ω (total 10D exponent).</p> <p>This deposit provides a citable, reproducible reference implementation under DOI 10.5281/zenodo.17305094.</p> <p>Key features:</p> <p>Audit-friendly: Mesh convergence with Richardson extrapolation, tadpole/EFT gates, and diagnostic cross-checks (Δω = ω_num - ω_GW).<br>Self-contained: Pure Python with optional NumPy/SciPy for performance.<br>Versions: v1.0 (proxy source) and v1.1 (exact |G3|^2 source for enhanced physical fidelity).</p> <p> </p> <p>-----------------------------------------------</p> <p>Contact : haithem.medani@gmail.com</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17305094 |
| institution | Zenodo |
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| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | General Multidimensional Relativity (GMDR): Toward a Unified Framework Linking String Compactifications to Cosmology Medani, Haithem <p>General Multidimensional Relativity (GMDR) is a theoretical and computational framework that establishes a deterministic bridge between string theory and observational cosmology. </p> <p>Scope note: In this work, “General Multidimensional Relativity (GMDR)” denotes an empirically anchored framework built on stabilized RS/GW backgrounds that links string-inspired compactifications to cosmology via a single derived parameter . It does not claim to be a full covariant replacement for GR; “General” refers to the multidimensional warp-ladder construction and its observational pipeline.</p> <p>This pipeline implements the core components:</p> <p>- Flux stabilization of complex structure and axio-dilaton (z, τ) near the large-complex-structure (LCS) point using mirror-quintic periods and the Gukov-Vafa-Witten (GVW) superpotential.<br>- Single-modulus KKLT stabilization of the Kähler modulus T.<br>- A physical deformed-conifold warp-factor PDE in axisymmetric reduction, solving for the warp exponent ω from e^{A_min}.<br>- Construction of the RS-consistent warped-layer ladder: c_n / c_4 = exp[ω (n-4)], with anchor C = exp(Ω_{10}) where Ω_{10} = 6ω (total 10D exponent).</p> <p>This deposit provides a citable, reproducible reference implementation under DOI 10.5281/zenodo.17305094.</p> <p>Key features:</p> <p>Audit-friendly: Mesh convergence with Richardson extrapolation, tadpole/EFT gates, and diagnostic cross-checks (Δω = ω_num - ω_GW).<br>Self-contained: Pure Python with optional NumPy/SciPy for performance.<br>Versions: v1.0 (proxy source) and v1.1 (exact |G3|^2 source for enhanced physical fidelity).</p> <p> </p> <p>-----------------------------------------------</p> <p>Contact : haithem.medani@gmail.com</p> |
| title | General Multidimensional Relativity (GMDR): Toward a Unified Framework Linking String Compactifications to Cosmology |
| url | https://doi.org/10.5281/zenodo.17305094 |