Structural Compression as a Precursor to Institutional Collapse: A Conceptual CRTI Analysis of the European Knight System (800–1500 CE)

This preprint presents a conceptual application of the Compression–Resonance Thermodynamic Index (CRTI) framework to the European knight system (ca. 800–1500 CE) as a case study in structural collapse dynamics. The conventional account attributes the system’s decline primarily to exogenous technological disruption, including the longbow, early firearms, and pike formations. The present analysis proposes a complementary, mechanistically prior interpretation: the system’s collapse was structurally prepared by endogenous constraint accumulation that progressively reduced its accessible behavioral state space before terminal perturbations occurred.   Within the CRTI framework, structural compression Φ(t) denotes the reduction in effective state-space dimensionality, adaptive capacity R(t) represents the system’s realized response flexibility, and the viability index T(t) = R(t)/Φ(t) integrates both dimensions. The analysis identifies four qualitative phases—emergence (800–1000 CE), optimization (1000–1300 CE), rigidity accumulation (1300–1400 CE), and collapse (1400–1500 CE)—and interprets their trajectories in terms of these variables. The Schlacht von Azincourt is treated as a diagnostic anchor event that reveals a pre-existing structural fragility rather than constituting the primary cause of collapse.   The analysis is explicitly conceptual and non-quantitative. Φ(t), R(t), and T(t) are not empirically measured; they are inferred qualitatively from secondary historical evidence. No parameter estimation, statistical inference, or causal proof is claimed. The ratio form T(t) = R(t)/Φ(t) is introduced as a minimal heuristic representation of the interaction between structural constraint and adaptive capacity, not as a uniquely derived functional form. The collapse threshold θ* is treated schematically and is not calibrated for this system.   The contribution of this work lies in illustrating structural compression as a mechanistically distinct pathway to collapse that may remain undetected by amplitude-based early warning indicators such as variance and autocorrelation. The framework is explicitly mechanism-dependent and does not claim universality. The case study provides a conceptual template for identifying and operationalizing structural indicators in systems where multivariate time-series data are available.     structural compression · adaptive capacity · CRTI framework · complex adaptive systems · collapse dynamics · critical transitions · rigidity trap · early warning signals · mechanism-dependent indicators · institutional collapse