Paper 7 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 networks to persistent cellular closure. Established cell biology, biophysics, biochemistry, genetics and whole-cell modelling remain authoritative for membrane organisation, metabolism, energy transduction, gene expression, repair, growth and division. The PATON framework provides a shared structural account of recurrence, persistence locking, admissibility, accumulated viability debt, recovery, ordered traversal and cross-scale handover. The paper treats the cell as a persistent open-system closure whose identity depends on selective boundary maintenance, energetic and material throughput, regulatory coordination, repair, informational continuity and viable division. Orientation examples use the JCVI-syn3A minimal-cell cycle and recoverable osmotic stress in Escherichia coli to distinguish cellular persistence, state change, recovery, division handover and terminal closure release.
A J Paton (2026) studied this question.