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Shadow Theory
Supersededv3

The Tier-1 Shadow Compiler Theorem

Superseded canonical version; the current sequence has no down-compilation stage. See the seven-paper sequence

Authority role

Former canonical Paper 4 (June 2026). Superseded by the seven-paper sequence. Its down-compilation architecture is not carried forward; the current Paper 4 is Geometric Realization of Completed Source Relations.

Notes

About this record

This is the June 2026 canonical Paper 4, preserved as publication history. It was replaced on 2026-07-15 by the current canonical sequence. Its down-compilation architecture, including the down-compile operator, gate clearing, and statused Tier-1 artifacts, is not carried forward in the current framework. The current Paper 4 is Geometric Realization of Completed Source Relations, which addresses a different question: when abstract completions are realized by genuine geometry.

Cite this paper

Jeremy Rodgers. (2026). The Tier-1 Shadow Compiler Theorem (v3). https://doi.org/10.5281/zenodo.21184944