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Deflexionization: Formal Theory of Structural Divergence (Version 1.0)

Authors: Bogdanov, Maryan;

Deflexionization: Formal Theory of Structural Divergence (Version 1.0)

Abstract

Deflexionization is the formal mathematical counterpart to Flexionization, describing structural divergence instead of equilibrium restoration.While Flexionization defines contractive dynamics that move a system toward symmetry (Δ → 0), Deflexionization formalizes the opposite regime — expanding, destabilizing trajectories where deviation magnitudes increase over time. The model introduces the expansive operator Ē, satisfying |Ē(x) − 1| ≥ α|x − 1| (α > 1), which transforms the equilibrium point (FXI = 1) from a stable attractor into an unstable repeller.The theory defines divergent dynamics, structural acceleration, irreversible drift, and the mathematical foundations of system breakdown, runaway imbalance, positive-feedback escalation, and collapse. This document provides the full axiomatic foundation, operator definitions, dynamic laws, divergence theorems, and analysis of critical extreme-state scenarios.Deflexionization forms the structural dual of Flexionization, completing the two-directional architecture of dynamic structural systems.

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