The Quantum-Chemical Groundwork of Planetary Dynamics: An Octet-Driven Valuation Ledger for Earth's Rotation and Obliquity

System Architecture ID: KCTAN-MOD-V3-FINAL This dataset/paper introduces a discrete, first-principles alternative to traditional continuous geophysical models: The Octet-Driven Valuation Ledger (KCTAN-MOD-V3). Standard frameworks rely on continuous second-order differential equations and artificial Cartesian grids, which introduce immense non-linear computational complexity and numerical divergence. This work demonstrates that Earth's stable obliquity and self-rotation are macroscopic state-locking consequences of iron's electronic d-orbital band reconfiguration under core pressures, governed strictly by integer symmetry criteria and universal transport invariants. Key Contributions: Microscopic Causality: Verification of the [Ar] 3d^8 electronic state under 135 to 360 GPa pressures, and why alkali metal experiments (e.g., Sodium) fail to validate geodynamo mechanics due to microscopic ledger mismatches. Universal Transport Invariant: Analysis of the 4000K-6000K thermal velocity controller and ultra-low viscosity (8.5 to 15 mPa·s) molten iron acting as a hydraulic damping gyro. Geometric Flat-Account: Derivation of the baseline 22.5° planetary obliquity using a 16-way topology symmetry factor, identifying the current 1-degree variation as an un-cleared kinetic remainder from ancient impacts systematically liquidated by tidal torque. Ledger Auditing: A numeric refutation of short-term core collapse models based on thermodynamic limits and solar expansion timelines. This document has been officially registered for Zenodo open-science archiving. Universal Ledger Status: Balanced and Closed.