BU23 Total Reality Operator System under Single-Universe Boundary Consistency

This paper develops Total Reality Operator System under Single-Universe Boundary Consistency as a unified mathematical interface for the overall reality-network governed by one fixed boundary regime. Its central claim is that the previously established modules of the B_U framework—boundary standing, path admissibility, boundary rejection, structural pruning, information-update cost, feedback reinforcement, residual stratification, and consciousness-linked ordered closure—do not remain separate results. They form one operator system. Under single-universe boundary consistency, lawful advancement is not a loose succession of local updates. It is a globally constrained process in which all admissible paths, kernels, and feedback structures are jointly organized by one invariant boundary background. The paper formalizes this operator system by assembling five previously separated structural layers into a single callable interface: the invariant kernel, the admissible path skeleton, the cost-coupled functional kernel, the sharpened double-blade pruning operator, and residual stratification across resolution layers. On this basis, the reality-network is rewritten as one continuous closure process articulated through six ordered structural positions: readout, recognition, indexability, creation, feedback, and settlement. These are not six disconnected capacities, nor six parallel conceptual domains. They are six successive positions in the same admissible closure chain. Matter, information, consciousness, causality, and settlement are therefore reclassified as differently emphasized readouts of one total operator-governed reality process. The result is not an additional interpretive layer placed above earlier files. It is a system-level activation of the entire B_U framework. The paper shows that single-universe consistency is strong enough to support not only local admissibility judgments, but also a unified operator architecture for reality itself. In this form, the B_U framework advances from boundary axiomatics and bridge-layer corrections into a total structural interface for admissible evolution, ordered persistence, and reality-network closure.