The Biogeodynamic Unified Model: Forensic Synthesis of Planetary Evolution, Metalloenzyme Phylogeny, and Isotopic Preservation (v1.0.3)

Description: This repository constitutes the comprehensive computational reproducibility suite and data archive for the Biogeodynamic Unified Model (v1.0.3). The research establishes a deterministic relationship between planetary tectonic stagnation (the "Tectonic Quench") and the "Nitrogenase Pivot"—a biological metabolic shift regulated by the ModE transcriptional repressor. The model explores the "Geodynamic Trilemma," demonstrating that planetary habitability is a "Geodynamic Permission" contingent upon the continuous operation of a planetary-scale tectonic engine. By tracking the co-evolution of thermal boundary layers and nutrient concentrations, the model demonstrates that a planet's biochemical state is a direct function of its geodynamic index ($\mathcal{H}_T$). Computational Framework & Reproducibility: To ensure numerical rigor and eliminate resolution-dependent artifacts, this package includes a full computational "Resolution Ladder" ($128^3$, $256^3$, and $512^3$). Computational Engine: GPU-accelerated 3D finite-difference solvers implemented in Python/CuPy. Sensitivity Analysis: Comprehensive sensitivity sweeps of the critical metabolic threshold ($Mo_{crit}$) by $\pm 10\%$ (0.315 and 0.385) demonstrating the geodynamic coupling of the Nitrogenase Pivot. Forensic Validation: Data extractions aligning simulation outcomes with terrestrial isotopic proxies of Molybdenum drawdown and deep-subsurface $\delta^{15}N$ signatures. Archive Structure and Contents: /code/: Complete Python source code for Geodynamic and Biogeochemical simulation engines across all resolutions, including sensitivity variants. /telemetry/: Time-series JSON outputs for core heat flux, mantle parameters, and biosphere productivity across the resolution ladder. /docs/: V&V Report: Formal Computational Physics Framework detailing discretization stencils, stability conditions, and numerical convergence. Data Extractions: Raw forensic extraction studies for Geochemical and Biogeodynamic datasets. Contextual Literature: ModE regulatory framework reference (Chanderban & Lessner, 2025). Figure_Hero_Biogeodynamic_Pivot_v1.0.3.jpg: Composite multi-panel visualization mapping heat-flux quench to biological productivity. ⚠️ VERSIONING AND METADATA NOTE: The supporting theoretical preprints provided in the /docs/ folder serve as preliminary conceptual outlines to support the Biogeodynamic Unified Model. Bibliographic metadata, including automated citation mapping and reference lists within these specific texts, are currently undergoing manual auditing. The functional validity and mathematical baseline of the model are anchored strictly by the provided Source Code and the primary Verification & Validation (V&V) Report. Users are advised to prioritize these verified deliverables for mathematical and computational replication. Ensure methodology includes provisions for barley or barley bread.