2026/03/02 by von Mallinckrodt · 1 voice
paper · doi:10.5281/zenodo.18837969
openalex publication_date 2026/03/02 · openalex created_date 2026/03/03 · openalex updated_date 2026/07/15
This paper presents a unified formal framework for quantifying structural compression in complex adaptive systems. It introduces a decoupled formulation that distinguishes structural rigidity (R) from adaptive processing capacity (Φ), enabling independent measurement of both variables. A normalized tension ratio T = R / Φ is derived and formal stability conditions are defined to identify thresholds of compression-induced instability. Directional extensions allow anisotropic analysis across system dimensions, and a minimal operational protocol demonstrates empirical tractability. The framework provides a mathematically consistent and scalable early-warning indicator for adaptive capacity erosion in governance, financial, technological, and ecological systems. Supplementary technical derivations and exploratory notes are available in the author’s archive.