The gauge theory of records: migration, redundancy, and the complete dictionary of quantum information in the Schwinger model

This capstone note completes an eight-part study of quantum records in gauge theory by establishing a unified dictionary of how information is stored, transferred, and hidden in the Schwinger model.

The study introduces a complete classification of quantum records governed by gauge constraints: unscreenable charges create records that are distributed everywhere and remain permanently accessible; screened charges store information through boundary-delivered images; neutral configurations are forgotten; symmetry-breaking order creates graded records; and topological flux records can be perfect yet unreadable by local matter observers.

Four new results complete the record arc. The migration law shows that the θ-record moves continuously from matter correlations into Wilson-line flux as fermion mass increases: the matter contribution decreases from 0.530 to 0.003 while flux evidence grows by a factor of 767, with the transfer occurring near the critical region. A redundancy transition in charge is demonstrated, where fractional charges produce widely distributed records while integer charges become bilocal. The confining tension is decomposed into a finite-volume screening contribution and a mass-dependent contribution, resolving previous discrepancies. Finally, seven independent verification gates close the complete record dictionary in one unified result.

The central conclusion is that quantum records are not free information stored arbitrarily in a system. Their accessibility is determined by the structure of constraints: what cannot be screened is broadcast, what is screened is remembered at boundaries, what is neutral disappears, and what is topological may remain globally present while being locally unreadable.

The results are obtained within finite lattice gauge theory using exact diagonalization, independent verification routes, and documented convergence checks.