Null-Boundary Qubit Ledgers and Limiting Mixed Hodge Structures: A Finite Architecture for Spacetime Bookkeeping

Abstract

We present a finite null-boundary bookkeeping framework in which a protocol on a light-sheet patch carries three ledgers in common entropy units: geometric capacity, reference-relative modular change, and irreversible classical record updates. The basic event statement is a fixed-context balance among these quantities. The framework is operational rather than ontological: any fixed protocol is represented only at its finite resolution, which permits a finite-dimensional realization and an N-qubit pixel model without asserting global microscopic finiteness. To distinguish stable protocol type data from discrete update data, we use mixed Hodge structures as capacity labels and limiting mixed Hodge structures as controlled event packages. Local datasets are compared on overlaps and glued by an explicit colimit construction. The paper is kept kinematical and fixed-context; continuum dynamics and any moving-context refinement are left model-dependent.