System Initiation as an Admissibility Event: Structural Origin Conditions within the Paton System

Systems are commonly analysed in terms of their behaviour, stability, or failure once they are already operating. However, less attention is given to the structural conditions required for a system to begin operating at all. Within the Paton System, continuation of any system requires admissibility: each new state must remain compatible with the constraints governing the system. This paper extends the admissibility framework to system origins by identifying initiation as the first admissible configuration capable of sustaining recursive continuation. A system begins not when components merely exist, but when a configuration arises that satisfies the structural conditions necessary for continued admissible evolution. By interpreting system origins as admissibility events, the Paton System provides a unified structural model for the initiation of systems across physical, biological, computational, and organisational domains.