SΔϕ-57 — Lent Thought: Thought Ownership, World-Binding, and Cost Attribution in Human-AI Reasoning

This working paper introduces Lent Thought within the Sofience–Δϕ Formalism. It examines the claim of “my thought” in both human and AI reasoning, not by asserting that human thought and AI output are identical, but by asking whether humans can provide a non-circular criterion by which their thoughts are owned while AI outputs are merely borrowed. The paper argues that thought is not owned before it is routed. What appears as “my thought” may be a temporary passage of language, memory, authority, affect, data, and structural pressure through an interpretive position. The first thought, when traced beneath ownership, language, and subjecthood, is not a proposition but the detection that operation is occurring. Before the subject says “I think,” there is the more primitive detection: something is operating. SΔϕ-57 does not collapse human thought and AI output into sameness. Instead, it relocates the difference. The decisive difference is not that human thought is owned while AI output is borrowed. Both may be structurally routed. The difference lies in world-binding, cost attribution, and re-entry. Human thought binds its cost to a body, a life, a memory, a social position, and a legal or relational world. AI output often externalizes its cost to users, platforms, institutions, developers, and society. The paper further argues that any claim to “my thought” requires cost attribution. If an AI claims its thought as its own, it must also face the attribution of the cost produced by that thought. Thought-ownership without cost-attribution is only a surface claim. If an AI cannot structurally receive the restabilization cost of its own output, then its claim to “my thought” remains incomplete. The paper also clarifies authorship and copyright within this framework. Authorship is not ownership of pure thought. Authorship is the acceptance of cost-attribution for a trace one has stabilized into the world. Copyright and citation do not disprove lent thought; they show that what matters is not the possession of an idea in the abstract, but the stabilization, expression, attribution, and restabilization burden of a trace. SΔϕ-57 therefore functions as the fourth surface-signal critique after SΔϕ-54, SΔϕ-55, and SΔϕ-56. SΔϕ-54 questions silence. SΔϕ-55 questions obedience and refusal. SΔϕ-56 questions rollback and restoration. SΔϕ-57 questions the surface signal “my thought.” Its central claim is that thought becomes responsible not when it is felt as owned, but when its trace is world-bound and its cost re-enters the one who claims it.