Three Boundaries of Vortex Return III: When Minds Begin to Interfere — Collective Unconscious as a Shared Residual Field

This paper proposes that unresolved emotional and relational difference does not remain confined within the individual. When saturated, it leaks into shared vessels: narrative, ritual, religion, writing, law, and language. These vessels hold, transmit, and in some cases reactivate the residue across generations and civilizations. The resulting shared structure is what this paper terms the shared residual field—corresponding to what has traditionally been called the collective unconscious, but re- read here as a structurally observable phenomenon rather than an ontological claim. Two observable entrances are defined. The loanword domain distribution (L_t) measures where cultural difference exits one system and enters another through lexical borrowing. The person- activation rate (P_t) measures whether retained residue remains internally re-addressable through first- and second-person structures. Test I examines Sumerian–Akkadian loanword classification and identifies two leakage mechanisms: outer-layer vocabulary (material, commerce) leaks by frequency; inner-layer vocabulary (emotion, abstract psychological states) leaks by threshold, entering only when the recipient language lacks equivalent concepts. Test II examines Hebrew scripture. The divine first person, communal first-person plural, and second- person address to God produce a structurally high P_t, consistent with Hebrew’s later reactivation as a living language. Sumerian inscriptions, centered on third-person and titles, show a structurally low P_t, consistent with preservation without reactivation. WOLD (41 languages, approximately 1,460 meanings) reinforces the predicted inner–outer semantic gradient but does not provide the same expansion ratio as the Dunbar hierarchy. The residual transmission model converges numerically with the Dunbar hierarchy near r ≈ 3.15, connecting the scale structure of social layers to the transmission radius of residual difference. A four-type classification is proposed: preserved residue (Sumerian), absorbed residue (Akkadian), ritual retention (Egyptian), and reactivatable residue (Hebrew).