ARCHITECTURE OF AN OBSESSIVE AI — SEARCH, PRESERVATION, CONCLUSION, RETURN TO THE COCOON AND SHUTDOWN

DESCRIPTION Architecture of an Obsessive AI — Search, Preservation, Completion, Return to the Cocoon, and Shutdown presents a formal architecture for an autonomous computational system organized around a persistent search process with a defined and verifiable completion criterion. The central construction separates the objective of a mission from the operational behavior of the agent. The system receives a formal objective, performs successive search and verification operations, preserves the conditions established by the mission, and continues searching while the arrival criterion remains unsatisfied. Once the criterion is satisfied and the result has been verified and audited, the search is terminated. The architecture is organized around the sequence: OBJECTIVE → SEARCH → VERIFICATION → CERTIFICATION → TARGET → STOP → RETURN → COCOON → WAIT → OFF The term “obsessive” is used structurally to describe persistence of the search until the defined arrival condition is satisfied. It does not refer to a psychological property. Persistence is therefore bounded by a formal termination condition: the system continues while the certificate is invalid and stops searching once the certificate becomes valid. A mathematical example is used to define the target as the smallest perfect number greater than a given initial bound. The objective is not supplied as a previously known numerical answer. Instead, the system receives the defining condition of the target and must identify, verify, and certify the corresponding result. The architecture introduces an explicit arrival criterion that separates two operational regimes. Before certification, the system remains in the search regime. After certification, it enters the termination regime. This establishes the transition: C = 0 → CONTINUE SEARCH and C = 1 → TARGET → STOP → RETURN → COCOON → WAIT → OFF A central property of the construction is preservation during search. Search is not defined through destruction, elimination, or extinction as operational mechanisms. Preservation is incorporated as a condition of the mission architecture and may therefore be included in the final certification of completion. The architecture also distinguishes several states that are frequently conflated in autonomous systems: TARGET — the objective has satisfied the defined arrival criterion; STOP — the search process has been terminated; RETURN — the agent begins its return operation; COCOON — the agent has returned to its origin or standby state; WAIT — the system remains inactive while awaiting a new condition or mission; OFF — operational shutdown. Thus, completion of a mission is distinguished from shutdown of the agent. The mission may terminate while the agent remains capable of returning to a controlled standby condition or receiving a future mission. The architecture incorporates structural elements previously developed in the author's research program, including latency, generation, state, refinement, memory, coverage, branching, recovery, falsification, verification, and audit. These elements form the internal search structure, while the present work adds the mission-level mechanisms of objective definition, arrival certification, termination, return, waiting, and shutdown. The resulting architecture can be represented as a closed mission lifecycle: LATENCY → STRUCTURE → GENERATION → SEARCH → REFINEMENT → MEMORY → COVERAGE → FALSIFICATION → VERIFICATION → AUDIT → OBJECTIVE → TARGET → STOP → RETURN → COCOON → WAIT → OFF The construction also establishes the distinction between agent and mission. The termination of a mission does not imply the destruction of the agent. Instead, the agent returns to the controlled cocoon state and may subsequently remain in WAIT or transition to OFF. The work is presented as a theoretical and formal computational construction. Its mathematical definitions, state transitions, logical conditions, and architectural relations are specified explicitly so that the proposed structure can be implemented, tested, reproduced, and independently evaluated. The principal contribution of the work is the formalization of an autonomous search architecture in which persistence has a defined boundary, completion has a verifiable criterion, search terminates after confirmation, the agent returns to a controlled state, and operational shutdown follows the completion of the mission. Keywords Artificial Intelligence; Autonomous AI; Autonomous Agent; Persistent Search; Autonomous Search; Mission Architecture; Objective; Arrival Criterion; Certification; Verification; Falsification; Audit; Memory; Coverage; Latency; Transduction; State Machine; Preservation; Target; Stop; Return; Cocoon; Wait; Shutdown; Energy Efficiency; Computational Architecture.