Retention Without Return: A Structural System of Irreversibility (The Non-Modal Structural System I)

This paper fixes the minimal structural conditions under which irreversibility holds. Configuration is fixed as a difference-structure under structural constraint, and retention is fixed as structural persistence. No total integration is constituted, and no return is established. Irreversibility is not introduced as a derived property, but fixed as a structural condition determined by the absence of integration and return. Time is fixed where retention holds without return under asymmetry. This paper presents a minimal structural formulation of irreversibility within Kasei-Theory. It is part of an ongoing series that reconstructs the foundational concepts of physics through structural fixation rather than derivation.