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
Scope and record
Occurred: Aug 12, 2026
Delta type: SOURCE CLAIM
Assumptions: VibeMathed verification: unreviewed. Publication: preprint. AI contribution: ai-co-developed. Editorial metadata: CC BY 4.0; linked content retains its own rights.
Canonical aliases: Word-length spectral triples as compact quantum metric spaces · Word-length quantum metrics
Confidence: Not scored
Registry verification: unreviewed · preprint · resolved
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
Word-length spectral triples as compact quantum metric spaces parent of this event
VibeMathed record: Word-length spectral triples as compact quantum metric spaces evidence for this event
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. parent of this event
Word-length spectral triples as compact quantum metric spaces evidence for this event
Act on this frontier