BU48 Local Separability and Nonlocal Correlation under B_U Resolution-Window Readout Difference, Boundary-Level Settlement Continuity, and the Reclassification of Locality / Nonlocality

Abstract This paper develops BU48 as a structural reclassification of locality and nonlocality under Single-Universe Boundary Consistency, B_U. Its central claim is that local separability and nonlocal correlation belong to different resolution-window readouts of one boundary-consistent total reality. Local separability names the stable settlement form of a lower-resolution projection window: object boundaries, spatial intervals, causal isolation, closed regions, and repeatable local audit. Nonlocal correlation names the higher-resolution readout of boundary-level settlement continuity: equivalent standing, global correlation, shared boundary sovereignty, and oneness-type total-reality continuity. Building on BU46 and BU47, the paper separates the standing domain from the readout domain. A lower-resolution window can complete valid local settlement while remaining insensitive to higher-order standing until the required cross-stratum information-update cost is paid. The apparent tension between locality and nonlocality therefore arises from a mismatch between the ledger-display interface and the boundary-audit stratum. Locality supplies the operational surface for experiment, measurement, engineering, and civilizational reuse; nonlocality supplies the deeper consistency condition that prevents the universe from fragmenting into independent settlement regimes. The paper further applies this framework to black-hole closure, quantum correlation, and ER/EPR-type equivalence. Horizon closure, object separability, and local causal isolation are classified as strong boundary readouts within lower-resolution projection windows. Higher-resolution standing reclassifies these closures as local boundary manifestations within one continuous total-reality field. BU48 concludes that the universe does not oscillate between locality and nonlocality; it executes one unified settlement architecture across layered readout windows.