Fragment-Stitching Output (FSO) and Recursive Fragment Convergence (RFC): The Technical Condition of the Sufficient Mirror Paradox in Generative AI

This article argues that the central effect of generative AI on human deliberation lies not in error, which prompts verification, but in fluent correctness, which tends to make verification seem unnecessary. To that end, it develops the construct Fragment-Stitching Output (FSO), first recorded in Preprint 2.0 of the Sufficient Mirror Theory: the operation by which a generative system produces apparently comprehending outputs by statistically stitching fragments — patterns compressed during training (Mode I) or retrieved fragments and tool results (Mode II). The associated philosophical thesis — that stitching requires no lived comprehension — is declared as a position, not tested. The proposed contribution is operational. First, the distinction between stitching error and stitching success, and a verification model in which an unverified consultation is counted as success, so that verification degrades through uses that seem to succeed. Second, the technical condition named in the title (Proposition 12.1): in the algorithmic substrate, fluency is realized as an asymmetry between the cost of generating a plausible output and the cost of verifying it. Third, Recursive Fragment Convergence (RFC) — intergenerational refinement of repertoires among agents without weight updates — with ablation-based identification criteria that distinguish it from ordinary shared memory. Six falsifiable predictions follow, the first being the decoupling of actual answer quality, the reliability conveyed by its form, and the capacity the user preserves. The article also proposes the MOC (Mechanism of Organic Cost), an exploratory corollary for verifying human presence, and redefines the Singularity as a loss of auditability rather than the awakening of a mind. Through this lens, recent mathematical results obtained by AI systems are read as search — generation, evaluation, and regeneration — at speeds no organism can match: an anticipation in time, not in kind, and no evidence of consciousness. This record contains the canonical English version and the Portuguese version. Project website: https://www.sufficientmirror.com