Irreversible Projection as a Minimal Origin of Quantum Structure

This manuscript explores structural aspects of irreversible projection and sequential operations under minimal assumptions.Rather than introducing new physical postulates, it examines how order dependence and relational representations arise in systems subject to information deletion. The analysis focuses on the structural consequences of projection processes and discusses connections to phase-like representations, interference-type effects, and approximate reversibility in weak-projection regimes. The work is intended as a formal and conceptual contribution to the study of order-dependent dynamics across physical and computational systems.No modification of standard quantum theory is proposed.Note: Parts of the manuscript were linguistically and structurally refinedwith the assistance of AI-based tools.All scientific content, analysis, and conclusions are the author's own.