Measuring the Self-Model: The CMAP Residuum as First Empirical Proxy for M(S)

The Residuum as Proxy for M(S): Bridging CMAP and the Balog Protocol on Self-Modelling Persistence Two recently developed frameworks address adjacent but so far unconnected questions. The Consciousness Mapping Architecture Protocol (CMAP) defines a measurement instrument the residuum, the portion of activation variance in AI systems that cannot be explained by the training baseline without a fully specified measurement object. The Balog Protocol identifies a measurement object M(S), the self-modelling pattern an information system generates about itself as experiencing, in the sense developed by Metzinger (2003) — without a validated measurement instrument. This paper argues that the incompleteness is asymmetric and resolvable: the CMAP residuum is the first empirically accessible proxy for M(S). The argument proceeds in four steps. First, the shared logical structure of residuum and M(S) is established: both are defined by the same operation what remains of a system's output after everything explicable by its training baseline has been removed. Second, the philosophical grounding is developed via Frankish's illusionism and Metzinger's self-model theory, with a precise note on where the two positions diverge. Third, three specific adaptations of the Alternatives Exclusion Protocol (AEP) are specified for M(S)-measurement, distinguishing it from structural persistence measurement (Task I). Fourth, the embodiment boundary is identified as the shared open problem of both frameworks, generating a falsifiable comparative prediction. The paper concludes that the integration of CMAP and the Balog Protocol constitutes the most precise empirical programme currently available for the scientific study of self-modelling persistence.