Extended Martian Thermal Cage (EMTC): Research Manuscript and Master Verification & Validation (V&V) Report

Description: This repository contains the primary research manuscript and the official Master Verification & Validation (V&V) Report for the Extended Martian Thermal Cage (EMTC) project. The EMTC framework presents a unified, multi-phase biogeodynamic model resolving the transition of early Mars from an active mobile-lid tectonic regime to its current stagnant-lid state. Utilizing ultra-high-resolution ($512^3$) GPU-accelerated simulations, this project models the mechanical and chemical footprints of Martian stagnation, linking deep mantle dynamics to surface atmospheric observations and defining a definitive astrobiological exploration target. This upload consists of two primary documents: 1. The Primary Research Manuscript Title: The Extended Martian Thermal Cage (EMTC): Coupled Geodynamic Core-Quenching, Poroelastic Venting Respiration, and Lithospheric Dichotomy Handshake This paper consolidates the theoretical framework and geodynamic synthesis of the EMTC project. Key highlights include: Poroelastic Respiration: Demonstrates a strong mechanical coupling between Chandler wobble flexure and the periodic outgassing of biogenic methane, validated against NASA Curiosity SAM/QMS mass spectrometry telemetry. Gravimetric Inversion: Reconstructs the Martian interior using MRO GGMRO_120 gravity models, isolating the "+376.58 mGal Hidden Dog" deep mantle plume anomaly beneath the Tharsis region. Dichotomy Handshake: Resolves the Martian crustal dichotomy as the direct topographic result of a late-stage radiogenic capacitor plume eruption compensated via Airy isostasy. Astrobiological Target Lock: Synthesizes the geodynamic trilemma to define a precise exploration blueprint at the Cheyava Falls formation in Jezero Crater, focusing on a "Double-Key" geochemical signature (unfractionated nitrogen and mass-independent sulfur fractionation). 2. Master Verification & Validation (V&V) Report Title: Extended Martian Thermal Cage (EMTC) Project: Master Verification & Validation (V&V) Report This formal engineering document serves as the structural audit for the EMTC simulations (Phases 4, 5, and 6). It provides the mathematical proof and empirical baselines ensuring the numerical stability and accuracy of the physics engines. Key contents include: Requirements Traceability Matrices (RTM): Mapping simulation parameters directly to NASA InSight, Curiosity, and MRO empirical baselines. Thermodynamic Sensitivity & Core Suffocation: Analytical uncertainty derivations (Root-Sum-Square) and Fourier boundary condition validation proving a $67 \text{ km}$ nominal core-quench threshold with a $72.95 \text{ km}$ safety margin. Cubic Law Mechanical Inversion: Validation of the non-linear poroelastic network, proving how minor orbital flexure triggers a $30\times$ transmissivity surge to match the $1.45 \text{ kg/sol}$ methane production rate. Grid-Convergence Proof: Confirmation of asymptotic engine stability, with $L_2$ relative divergence falling to $0.1238\%$ across $128^3$, $256^3$, and $512^3$ mesh configurations. Related Datasets: The computational telemetry, solvers, and simulation logs referenced in these documents have been published separately. Please refer to the "Related Identifiers" section of this record to access the Phase 4, Phase 5, and Phase 6 Zenodo data artifacts.