Purpose, provenance, and the consolidation

Vacuum polarization on an idealized cosmic-string background is established subject matter HK1986,Linet1987,FS1987,Dowker1987,GL1994. The separate question of a boundary condition at the removed apex is essential: the regular metric alone does not select a self-adjoint extension KayStuder,DR2017.

This manuscript consolidates the supplied records -B-VP-v2.tex, -B-VP-AB.tex, and -B-VP-SAE.tex RecordVP2,RecordAB,RecordSAE. Those files are retained records; this consolidation neither deletes them nor assumes that their version names form an unambiguous numerical sequence. The first supplied file already identifies itself as version 2, whereas the AB and SAE records refer to an earlier -B-VP.tex as version 1. We therefore identify predecessor records by filename.

to read this version. Sections sec:host–sec:friedrichs-results contain the Friedrichs construction and all three observables. Sections sec:boundary–sec:matrix treat the product extension ledger. Section sec:ledger is the unified status table. The appendices preserve the reported computations and corrections without using them as proof.