We apply the Displacement Framework to Avoidant Personality Disorder (AvPD), formalizing it as a social desert wrong attractor W_avpd — a stable configuration of social withdrawal maintained by two interlocking mechanisms that operate before and after any social contact. The social connection ground state S°_social is defined across five dimensions including proportional risk assessment, social feedback processed as information, and the key marker: access to engagement when desired (not extraversion).
The wrong attractor is maintained by: (a) anticipatory catastrophizing — every potential social engagement is pre-processed through an internally-generated humiliation landscape where D(ξ_simulated) ≫ D(ξ_actual), creating displacement before contact occurs; and (b) post-contact hyperanalysis — ambiguous social cues are retrospectively interpreted as evidence of rejection, confirming the threat model.
The self-confirming structure is formally modeled: avoidance prevents disconfirmation, social skills atrophy through disuse, loneliness generates secondary D(ξ) that motivates further avoidance, and vigilance degrades actual interaction quality. The approach-avoidance paralysis is formalized as a double gradient with attractive V_connection and repulsive V_humiliation producing a saddle point — the person is simultaneously pulled toward and repelled from connection.
Nine formal propositions are derived. AvPD is formally distinguished from Social Anxiety Disorder as dispositional vs. situational wrong attractor (global vs. regional landscape restructuring, defectiveness schema vs. performance threat). Schema therapy, CBT with imagery rescripting, graduated exposure, and group therapy are analyzed as return path interventions. The paradox of return is identified as a structural feature: the vulnerability required to engage in therapy is precisely what AvPD forecloses.
Phronesis