Coherence Metrics and Gradient Dynamics Across Planetary and Galactic Scales: A Three-Paper Series

This work is part of a three-paper series developing a unified framework for quantifying organized energy structures in astrophysical systems. The central construct, coherence density ρ_c, integrates magnetic, gravitational, thermal, and rotational observables into a dimensionless measure of planetary or stellar organization (Paper I). In Paper II, we derive a differential law, the RMAχτ Gradient Invariant, governing how ρ_c evolves under suppression, regeneration, and entropy reprocessing. Paper III applies this invariant to the Milky Way, demonstrating that the same gradient dynamics describing planetary fields also reproduce galactic-scale equilibrium boundaries.
Together, these papers present a cross-scale architecture linking localized planetary stability to global galactic structure through a single coherence-gradient formalism. Each paper may be read independently, but the trilogy forms a continuous theoretical arc from definition (ρ_c) to dynamics (RMAχτ) to empirical validation (galactic coherence gradients).