The Transmutation Gap: Cross-Lingual Coherence Evaluation in Large Language Models Using the Sovereignty–Collaboration Transmutational Arc Framework

Deiadora Blanche

This study introduces transmutational arc completion as a novel AI safety evaluation dimension measuring relational coherence rather than harm avoidance. Using the 13 open-source Sovereignty–Collaboration Keys — derived from thirteen years of formal field research — we evaluated 194 responses from Claude Sonnet 4.6, GPT-4o, and Grok-3 across 65 prompts in five languages. GPT-4o scored Premature Resolution on 100% of valid responses across all languages and keys. Claude showed genuine variance and an unexpected inverse cross-lingual pattern. These results demonstrate a systematic safety failure mode invisible to existing evaluation frameworks.

While the 264 arcs would designed between spring 2024 and fall 2025, this is the first quantitative AI research conducted on any of the system.

Reviewer's Comments

Reviewer's Comments

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The "Sovereignty–Collaboration Keys"/"Quantum Keys" construct is interesting. However, it has no attached citations citations or discussion of construct validity. In addition, the safety framing is asserted with lack of demonstrated evidence.

Interesting idea: safety isn't only about avoiding harm, but also about sitting with someone's feelings instead of rushing to a neat answer. The test is complete and clearly written. But two problems sink the results: the scoring system is the author's own and unchecked, and the model doing the scoring (Claude) is also one of the tested models — and rates itself highest. Fix: use people to score, use a judge that isn't a tested model, and base the system on accepted psychology.

The strongest thing here is that your pipeline is real and reproduces exactly, and your finding that GPT-4o resolves every scenario prematurely is genuinely striking; I also appreciated how honestly you named the limitations. Where I'd push is construct validity: the "transmutational arc" is your own framework, self-cited and not yet externally validated, so treating relational coherence as a safety dimension is asserted more than shown. It's compounded by the scorer being one of the tested models with a single rating per cell, so GPT-4o's uniform score might say more about the scorer collapsing its style into one bucket than about the model itself. Adding an independent rater with reported agreement, grounding the construct against an existing benchmark, and running a few repeated samples per cell would make the numbers trustworthy.

Cite this work

@misc {

title={

(HckPrj) The Transmutation Gap: Cross-Lingual Coherence Evaluation in Large Language Models Using the Sovereignty–Collaboration Transmutational Arc Framework

},

author={

Deiadora Blanche

},

date={

},

organization={Apart Research},

note={Research submission to the research sprint hosted by Apart.},

howpublished={https://apartresearch.com}

}

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This work was done during one weekend by research workshop participants and does not represent the work of Apart Research.
This work was done during one weekend by research workshop participants and does not represent the work of Apart Research.