Paper 6 of 8 in the Recursive Continuity Geometry Across Physical Scale series. This paper applies the Structural Fingerprint Method Version 2.0 and Recursive Continuity Geometry to the transition from molecular and atomic relations to persistent material closure. Established materials physics remains authoritative for elasticity, plasticity, dislocations, viscoelasticity, fluid flow, phase structure, defects, fracture, healing and coarse-graining. The PATON framework provides a shared structural account of recurrence, persistence locking, admissibility, accumulated disturbance, recovery, ordered traversal and cross-scale handover. A numerical operational demonstration uses a representative 6061-T6 aluminium tensile path to distinguish elastic-regime loss, plastic continuation, damage accumulation, fracture and retained material identity in the resulting fragments. The framework is also applied to crystals, polymers, fluids, multiphase materials, fatigue, creep and recovery.
A J Paton (Wed,) studied this question.
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