General Multidimensional Relativity (GMDR): Toward a Unified Framework Linking String Compactifications to Cosmology

General Multidimensional Relativity (GMDR) is a theoretical and computational framework that establishes a deterministic bridge between string theory and observational cosmology. 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. This pipeline implements the core components: - 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.- Single-modulus KKLT stabilization of the Kähler modulus T.- A physical deformed-conifold warp-factor PDE in axisymmetric reduction, solving for the warp exponent ω from e^{A_min}.- 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). This deposit provides a citable, reproducible reference implementation under DOI 10.5281/zenodo.17305094. Key features: Audit-friendly: Mesh convergence with Richardson extrapolation, tadpole/EFT gates, and diagnostic cross-checks (Δω = ω_num - ω_GW).Self-contained: Pure Python with optional NumPy/SciPy for performance.Versions: v1.0 (proxy source) and v1.1 (exact |G3|^2 source for enhanced physical fidelity). ----------------------------------------------- Contact : [email protected]