Iterated Glut-Exposure Operators and Classical Termination

Paper 2 Meta UAP Series This series develops a staged mathematical framework for analyzing how unresolved, glut-bearing semantic worlds can be transformed, classified, and partially recovered from their classical endpoints. The papers are organized as a coherent sequence, but each paper isolates a distinct structural task within the larger program. At the foundation is Paper I, which introduces the bridge architecture from Tav through successive realization stages. It formalizes the passage from primitive unresolved configurations to structured bridge realizations and establishes the basic support, reduction, and enrichment machinery used throughout the series. Paper II abstracts the forward passage into an operator-theoretic setting. It defines iterated glut-exposure operators on worlds, studies their comparison theory, and gives the first general results on monotonicity, iteration, and eventual periodic behavior. This paper provides the abstract dynamical framework for forward classicalization. Paper III studies entry into the classical regime, stabilization, and halting-type questions for the operator systems introduced in Paper II. It proves defect-descent and residue-obstruction results, and it separates classical entry, looping, and drifting phenomena. This is the main forward-dynamics paper of the series. Paper A supplies a finite worked atlas of explicit forward examples. It realizes the abstract phenomena of Papers II–III in concrete finite families, including thin collapse, split resolution, heterogeneous resolution, controlled-depth families, commuting and noncommuting local resolvers, and residue-preserving or oscillatory behavior. It serves as the explicit witness paper for the forward side of the theory. Paper IV turns to the reverse problem: what can be recovered from a classical endpoint once a forward classicalization process has occurred? It studies reverse operator generability, uniform recovery, and backliftability, and it proves both framework-relative no-go results and intrinsic finite-atlas underdetermination results. In particular, it shows that present endpoint-visible data may fail to determine certified forward structure. Paper B is the casewise reverse analysis of the finite atlas from Paper A. It functions as the explicit witness catalogue for the reverse-side theorems of Paper IV, showing in concrete finite examples how endpoint profile, endpoint observables, and even fixed seed-endpoint data can fail to determine forward chain class, depth, or interaction type. Taken together, the series has the following internal progression: primitive bridge architecture, forward operator dynamics, classical entry and halting structure, explicit finite forward atlas, reverse recovery theory, explicit finite reverse witness analysis. The papers are designed to be citable individually, but their intended meaning is cumulative. Papers III and A form the forward-dynamics and forward-atlas block. Papers IV and B form the reverse-recovery and reverse-atlas block. Read in order, the series develops a single program: from unresolved semantic structure, through forward classicalization, to the limits of reverse recovery from classical endpoints.