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Word-length spectral triples as compact quantum metric spaces

The first explicit counterexample rather than a first suspicion: the abstract is clear that the failure was widely expected and that what was missing was a witness. It gives an infinite family, one for each d >= 2, all Lamplighter groups over free groups.

Exact FrontierDelta

Prior state unknowndisproved

Scope and record

Occurred: Aug 12, 2026

Delta type: SOURCE CLAIM

Assumptions: VibeMathed verification: unreviewed. Publication: preprint. AI contribution: ai-co-developed. Imported under CC BY 4.0.

Canonical aliases: Word-length spectral triples as compact quantum metric spaces · Word-length quantum metrics

Confidence: Not scored

Registry verification: unreviewed · preprint · resolved

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Attribution

VibeMathed
registry · event recorded by

Mario Klisse
human · human collaborator

GPT-5.6 Sol
model · ai model contributor · OpenAI

Lineage and corrections

This event attributed to Mario Klisse

This event attributed to GPT-5.6 Sol

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