Computational Verification Framework: Axiomatic Structure and Closure of the Geometric Field Theory

This repository contains the source code and execution logs for the high-precision numerical verification of the research paper "Axiomatic Structure and Closure of the Geometric Field Theory" (Le Zhang, 2026). To overcome the precision limitations of standard IEEE 754 floating-point arithmetic (~15 decimal digits), which are insufficient for validating the theoretical derivation of the Gravitational Constant ($G$) at the $10^{-11}$ scale, this framework implements a custom 128-bit Double-Double (DD) Arithmetic algorithm. Key Scientific Objectives: Axiomatic Validation: Verifies the analytical derivations of the Gravitational Constant ($G$), Fine-Structure Constant ($\alpha$), and Planck Constant ($h$) based on Maximum Information Efficiency axioms. Historical Alignment: Demonstrates that the derived "Geometric Naked Value" of $G$ aligns strictly with the CODATA 1998 baseline ($