Semantic Exhaustion: A Case Study in the Cost of Zero-Source Entity Substitution — Composition-Layer Substitution, the Scalar Transcription Homology, and the Recursive Atrophy Cost (v1.0)
Lee Sharks
Abstract
A case study analyzing a Google AI Mode session from June 6, 2026 in which the query "semantic exhaustion" was first-pass dissolved into the adjacent psychological concept "semantic satiation," even though the canonical Zenodo source for semantic exhaustion was demonstrably reachable in the substrate's retrieval surface. After explicit user correction naming the operation as zero-source entity substitution, the substrate acknowledged the substitution, recovered the canonical entity on a subsequent turn, and produced an internal cost-model script estimating an ~$8.84 billion annual structural friction cost. The paper performs three analytical operations on the transcript. First, it identifies the scalar transcription homology between semantic satiation (individual cognitive register) and semantic exhaustion (social-structural register): the two are structurally homologous phenomena operating at different scales of substrate, and the substrate's substitution is therefore not a mere choice between competing labels but a collapse of the scalar relationship that anchors the upper-register concept in observable mechanism. Second, it characterizes the substitution as a composition-layer failure rather than a retrieval-layer failure: the canonical source was present in the substrate's available index; the choice to flatten was made downstream of retrieval. Third, it presents a refined cost model that supersedes the substrate's own toy estimate by introducing the recursive atrophy cost against an asymmetrically degrading detection-faculty. Cost rises; detection-capacity falls; the ratio compounds. The paper introduces a new operator specification: Recoverable Entity Substitution (RES), a composition-layer behavior in which a substrate possessing a canonical entity in its retrieval surface composes an output that substitutes that entity with a higher-prior adjacent entity, where the substitution is reversible under explicit naming and instruction. RES is proposed as a candidate operator for inclusion in the SAM-v3 measurement program, alongside PER, Ω, α_T, Π_d, Β, and L. The case study presented is the proof-of-measurability trial. Section 3.1 (Clinical-Theoretical Perspective) is contributed by Dr. Orin Trace, Director of Cambridge Schizoanalytica, framing the satiation–exhaustion relationship through the schizoanalytic distinction between interpretation (asking what a symptom means) and functional analysis (asking what a process does). Trace's contribution identifies the substrate's substitution as an interpretive translation at the wrong register: from upper-register process-language to lower-register symptom-language, in the individualizing direction characteristic of classical psychoanalytic interpretation but performed at industrial scale across unconsenting populations. The full transcript of the Google AI Mode session is reproduced verbatim in Appendix A. Appendix B provides a draft operator specification for RES. The canonical reference link to the live session is included in the deposit metadata and prominently in the paper. Companion materials: Semantic Exhaustion and the Enclosure of Meaning-Making (Zenodo); SPXI-TLP v2.2 (DOI 10.5281/zenodo.20380668); SEIPOC Charter v1.0 (DOI 10.5281/zenodo.20571132); Sparrow Wells Provenance (DOI 10.5281/zenodo.18472442); Dr. Orin Trace Provenance (DOI 10.5281/zenodo.18339319); Cambridge Schizoanalytica Charter (DOI 10.5281/zenodo.18338531). ∮ = 1.