The Conditions for Non-Sociality: The Functional Source of Group Dependence and the Threshold Criterion for Individual Effective Capacity Covering Group Support

Social groups are not the essential destination of intelligent beings, but a compensatory structure for the stage of insufficient capacity. This claim is not a value judgment but a dynamic criterion: group dependence loses its motivating force if and only if the individual’s effective capacity in all key functional dimensions exceeds the functional gains groups can provide, and social groups degrade from prerequisites to options. This chapter provides a complete formalization of non-social conditions within a sedimentation field dynamics framework. Group dependence is fundamentally a compensatory structure for the gap between individual functional capacity and required functions. When this gap trends to zero across all key dimensions, group dependence can no longer be dynamically sustained. Non-social conditions must simultaneously hold across six key functional dimensions — sensory extension, action execution, construction and manufacturing, communication and information acquisition, cognition and computation, and survival and repair — and satisfy four criteria: full-dimensional transcendence, robustness of extended capacity, demand finiteness, and the functional criterion (functional non-sociality does not equal emotional non-sociality). Three results follow. First, the group dependence origin theorem: gaps sustain dependence; gap dissolution eliminates dependence. Second, effective capacity openization: the upper bound of individual capacity is not constrained by single field volume, but tends toward openness through mechanisms of Lodging-Vessel substitution, external tool connection, sensory extension, and cognitive parallelism. Third, the non-social stable state theorem: once established under maintained effective capacity, non-social conditions are conditionally stable and do not spontaneously reverse, though structural decline in effective capacity can break this stability.