Persistence Dynamics: The Internal Geometry of Dissipative-Autopoietic Systems

Persistence Dynamics specifies the internal geometry of systems that maintain themselves by running. Two operations (hold and cross), each either active or latent, produce four regimes (Potentiality, Construction, Encounter, Conservation) that any persisting system traverses in a forced order. The traversal closes under one structural condition. That condition has a single solution at d = 1/φ, where φ is the golden ratio. Closure at one level projects upward as one of two axes of a cycle at the level above, with Pythagorean conservation across the projection. The geometry holds across substrates: cell, clinical trial, organisation, career. The work positions itself as the internal kinematics of the dissipative-autopoietic systems named by Schrödinger, Prigogine, and Maturana and Varela, and as a falsifiable account of how such systems persist and recurse across scales.