v1.2 — Research program closure

Adds the research program summary documenting the full falsification arc, and the causal spectral-ablation results (INS-34, pre-registered null). The spectral-causality direction is formally closed. The Gap-Statement itself is unchanged.

v1.1 — Spectral Gap-Statement

First public release.

Manuscript: "The Spectral Gap-Statement: When the Negative Subspace of
Attention Transport is a Well-Posed Invariant" (E. Vyaltsev, D. Vyaltsev).

Contents:

• paper2.pdf / paper2.tex / section6_body.tex / refs.bib — manuscript
• scripts/ — numerical scripts reproducing every figure and quantitative claim
• figures/ — figures used in the paper

The code in scripts/ is released under the MIT License; the manuscript
text and figures are released under CC BY 4.0.

v1.0.0 — Spectral Gap-Statement

First public release.

Manuscript: "The Spectral Gap-Statement: When the Negative Subspace of
Attention Transport is a Well-Posed Invariant" (E. Vyaltsev, D. Vyaltsev).

Contents:

• paper2.pdf / paper2.tex / section6_body.tex / refs.bib — manuscript
• scripts/ — numerical scripts reproducing every figure and quantitative claim
• figures/ — figures used in the paper

The code in scripts/ is released under the MIT License; the manuscript
text and figures are released under CC BY 4.0.