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Shadow Theory

Paper index

The six canonical papers are the controlling public authority of Shadow Theory. Branch papers carry statused branch results. Historical papers are the earlier Everything Equation / Tier-0 era archive — retained for the record, superseded as authority.

Canonical stack

Papers 1–6 · read in order · the public loading manifest defines their authority.

02Canonicalv5

Completion Necessity for Readout-Non-Equivalent Domains

Establishes the obstruction criterion: readout loss becomes a genuine public obstruction only when it is certified as an active, uncleared failure of an essential public closure slot.

DOI: 10.5281/zenodo.21184388
04Canonicalv3

The Tier-1 Shadow Compiler Theorem

Establishes down-compilation discipline: a canonical completion output becomes a public Tier-1 artifact only through a total, deterministic, gate-cleared, residue-aware down-compiler.

DOI: 10.5281/zenodo.21184944
05Canonicalv14

Shadow Theory Framework Mathematics

Establishes the runtime calculus: route decisions, status algebra, residue algebra, equation-artifact grammar, claim licensing, testing, audit, and forbidden-promotion discipline.

DOI: 10.5281/zenodo.21185124
06Canonicalfinal

Shadow Theory Synthesis

The capstone synthesis: composes the five preceding results into a single typed synthesis object with a graph-theoretic claim-promotion discipline and the Scoped Shadow Fixed-Point Law-Packet Theorem.

DOI: 10.5281/zenodo.21185206

Historical archive

86 records from the earlier programme era. These remain publicly available on Zenodo, but they are historical background and branch development traces — where they conflict with Papers 1–6, the six-paper stack controls.