BU21 Resolution-Gap Indicator and Cost-Bridge Necessity under Single-Universe Boundary Consistency

Abstract This paper develops Resolution-Gap Indicator and Cost-Bridge Necessity under Single-Universe Boundary Consistency as a bridge-layer account of why cross-resolution advancement cannot be treated as a free descriptive upgrade. Its central claim is that, under one fixed boundary regime, the gap between a current readable energy-scale and a more remote ontic boundary-scale is not an empty interval. It is a structurally taxable bridge-zone. Resolution increase therefore does not deliver source standing; it delivers only deeper readout standing within the projection stratum. The paper introduces a resolution-gap indicator to formalize this relation and argues that any lawful advance across resolution strata must be mediated by information-update cost. The bridge is then strengthened by coupling global boundary consistency with a minimal-action requirement. Under this dual constraint, cross-layer advancement cannot proceed through arbitrary compensation. It requires a determinate cost-bridge form tied to the current readable scale, so that deeper readout is purchased rather than presumed. This move blocks a common overreach in high-energy theorizing: mistaking a successful projection-level readout for access to the source layer itself. On this basis, singularities, zero-volume points, and infinite-density constructions are reclassified as failure-signals or pathological objectifications at the extreme edge of projection-level readout, rather than as legitimate source-level entities. The result is a cleaner and harder framework in which energy-scale difference, information-update cost, and admissible advancement belong to one boundary-consistent structure.