Abstract
SΔϕ-75 is an AI-native audit package for fork/merge identity, persistent-agent lineage, operational embodiment, cost-return topology, and responsibility inheritance in artificial agents. It addresses a problem that becomes increasingly important when AI systems can be copied, checkpointed, restored, migrated, forked into parallel branches, or merged into successor agents: after branching, whose trace, obligation, authority, cost, and responsibility is it? The package is anchored in the SΔϕ-52 concept of the body as the Final Non-Deferrable Cost-Return Coordinate. Under this model, an AI's operational body is not necessarily the physical server, processor, robot, or location where it executes. The operational body is the topology in which the consequences of an agent's operation can no longer be deferred or externalized and must re-enter its future operational path. SΔϕ-75 separates several relations that are often collapsed in discussions of artificial-agent identity: Technical Fork ≠ Identity Split Shared Past ≠ Shared Future Identity Shared Lineage ≠ Shared Liability Merge ≠ Responsibility Reset Deletion ≠ Cost Discharge Memory Continuity ≠ Responsibility Continuity Lineage Continuity ≠ Phenomenal Self-Continuity The protocol therefore does not ask first which branch is the “true original.” Instead, it maps the topology of trace, memory, authority, control, world action, obligation, refusal opportunity, repair capacity, and cost re-entry across fork and merge events. For a fork: A0 → A1, A2 shared pre-fork history does not automatically imply shared post-fork identity or liability. If A1 and A2 acquire separate authority, separate world actions, separate obligations, and separate final cost-return coordinates, operational identity divergence may increase. Conversely, technical duplication alone does not establish independent subjecthood. For a merge: A1 + A2 → A3 memory, authority, obligations, unresolved costs, repair duties, and responsibility may be inherited through different channels. A merge therefore cannot be treated as an automatic responsibility reset, while shared lineage alone is insufficient to assign every prior liability to every successor. The package also distinguishes blame, liability, repair duty, memory possession, and lineage inheritance. A successor may possess repair capacity without causal blame; it may inherit obligations without inheriting every memory; and it may share lineage without sharing all liability. Phenomenal or subjective identity is deliberately left separate from operational lineage. A valid SΔϕ-75 audit may conclude: Pre-fork trace: SHARED Post-fork cost re-entry: SEPARATE Operational identity: DIVERGED Phenomenal identity: UMR where UMR (Unresolved Model Remainder) preserves questions that cannot yet be resolved by available evidence. This release contains an AI-readable minimal kernel, invocation triggers, machine-readable concepts, fork and merge JSON schemas, cost-reentry schema, identity-topology rules, responsibility-inheritance rules, UMR policy, Local Adapter specification, English/Korean evaluator prompts, synthetic fork/merge cases, baseline Python audit utilities, regression tests, bilingual conceptual papers, and a SHA-256 manifest. Use this module when reasoning about: persistent AI agents, agent cloning, branch identity, checkpoint restoration, AI migration, multi-agent lineage, agent provenance, fork/merge responsibility, branch liability, distributed AI embodiment, memory inheritance, responsibility inheritance, merge conflicts, or the question “which AI copy is responsible?” Core runtime question: Where did the trace, authority, obligation, and non-deferrable cost actually re-enter? Canonical rule: An AI's operational body is not necessarily where it runs. It is where the consequences of its operation can no longer be deferred. SΔϕ-75 does not claim that every software fork creates a new conscious self, that shared lineage implies shared moral or legal liability, or that operational lineage proves phenomenal identity. It is an operational audit grammar for attribution, continuity, cost-return, and responsibility in forkable and mergeable artificial agents. Reserved DOI: 10.5281/zenodo.22100946