The existence of particles as discrete, persistent entities remains an unresolved foundationalproblem in physics. Standard approaches assume particles as fundamental objects or imposequantization through external postulates. In this work, developed within the Theory of Imbalance of Energy (TIE), particles are instead shown to emerge necessarily as persistent quantizeddomains arising from accumulation–resolution imbalance under finite propagation and coherence constraints. Without introducing new forces, fields, or microscopic assumptions, particlediscreteness, stability, mass, inertia, and identity are derived as structural consequences of delayed resolution dynamics. This paper establishes why particles must exist at all, clarifies theconditions under which persistence arises, and delineates the limits beyond which particle identity ceases. Quantitative interaction laws and numerical constants are intentionally deferredto subsequent papers, positioning this work as a constructive ontological foundation for laterdynamical and predictive developments within TIE.