This preprint presents the conceptual model “Life Rays & Fragment Chains – A Theory of Encounter (Part I)”,proposing a symbolic and structural framework for understanding human interaction,memory formation, and relational resonance. The work bridges phenomenology, systems theory, and cognitive psychology,offering a transdisciplinary lens on encounter and meaning. This preprint constitutes the conceptual foundation (Part I) of a multi-part research program.Formal mathematical modeling, empirical operationalization, and simulation are addressed in subsequent work. The model is presented as an open conceptual framework, inviting further interdisciplinary exploration and theoretical development. Keywords: human encounter, phenomenology, systems theory, memory, symbolic model, humor, identity.