The Cohesion Glyph: A Recursive Framework for Structural Integrity, Rupture, and Renewal in Living and Mechanical Systems

This paper presents the Cohesion Glyph, a recursive and multi-scale framework designedto model the lifecycle of structural coherence in both biological and mechanical systems.The framework establishes a set of interlinked operators: the Cohesion Constant,Saturation Point, Lifespan Function, Elasticity Gradient Map, and Recovery Loop. Byintegrating these elements, the Cohesion Glyph provides a unified logic for growth, rupture,and regeneration, all within a single symbolic topology. Validation is demonstrated throughapplications in soft robotics and mechanobiology, where the framework supportspredictive modeling of failure, adaptive tensioning, and regenerative design. Importantly,the glyph functions as a recursive operator—encoding the logic of coherence acrossnested scales—and is not intended as a metaphor. This work bridges the divide betweenliving tissues and engineered machines, serving as a canonical reference for systems thatare designed to endure, adapt, and heal.