三阶意识与 AF-by-discrete 的结构相容性

Abstract

This bilingual Chinese–English research monograph develops a controlled structural correspondence between a psychological–phenomenological account of third-order consciousness and the mathematics of AF-by-discrete groupoids. On the psychological side, the work asks how experience becomes organized as “my experience,” how separated episodes become recognized as “this is happening again,” and how the observer that names, compares, evaluates, and narrates experience can itself become part of what is observed. On the mathematical side, it independently develops the required language from finite graphs, Cantor path spaces, groupoids and germs, AF groupoids, graphs with boundary, tile inflation, traverses, returns, and incompressibility. The two domains are connected only through explicitly delimited structural correspondences and a stated translation discipline. A central working hypothesis is that subject-organizing complexity need not be uniformly distributed across experience: a large background may be organized through a small number of repeatedly re-identifiable, future-relevant interfaces. These interfaces are not stipulated in advance; they must be forced into view by repeated observation, return structure, failures of local continuation, and stable changes in what becomes possible afterward. The manuscript develops finite-scale formal tools, counterexamples, failure conditions, and candidate routes back to psychological observation and experimental design. The work does not identify consciousness with a groupoid and does not claim to provide a validated neural mechanism, clinical model, or ontological theory. Its aim is to make cross-disciplinary claims more discriminating, more explicit about their evidential burden, and easier to reject when the proposed correspondence fails. This manuscript has not undergone formal peer review. Zenodo is used here as a permanent archival and citation venue for the complete bilingual research text. Access to the deposited files is currently restricted; access may be granted by the author upon request.