Supplement I Mechanisms of Matter Formation and Holographic Perception (to the report "The Quantum Field as a Universal Law of Open Systems")

This work extends the framework presented in the report “The Quantum Field as a Universal Law of Open Systems” and its Supplement by introducing the explicit mechanism that connects observed physical relations into a continuous process.Modern physics provides accurate descriptions of observed phenomena through established mathematical relations, including mass–energy equivalence (E = mc²) and frequency–energy relations (E = hν). These relations remain preserved.The present work defines how these relations arise within an open quantum-field system.Within this framework, the quantum field is treated as a continuous medium in which coherence, impulse transfer, and structural resistance determine the evolution of systems across all scales.Matter is defined as a transient, stabilized configuration of the quantum field. It functions as a transition layer that introduces structural resistance, limiting redistribution of impulse and stabilizing organized configurations. Through this resistance, matter enables the formation and persistence of structures and systems.The mechanism is expressed as a continuous sequence:quantum field → coherence → impulse redistribution → structural confinement → matter formation → observable behaviorAll processes follow the same thermodynamic conditions of open systems:ΔE_matter + ΔE_field = 0ΔS_matter + ΔS_field = 0The Supplement develops this mechanism through a structured set of adapters describing mass, mass transformation, motion, system interaction, matter formation, and holographic perception as a unified process.The framework establishes a direct linkage between mathematical relations and their physical realization, connecting theoretical descriptions with observed phenomena through continuous field-driven processes within open quantum-field system