AlphaProof Nexus
Solved autonomously by AlphaProof Nexus, with the proofs formally verified in Lean.
Provider: Google DeepMind · Prompt public: unknown · Independence: unknown
Problem detail · source-aware
Four-Particle Monochromatic Quantum Graphs
VibeMathed reports this item as partial. VibeMath preserves that report as a source assertion and has not independently authored a plain-language mathematical explanation.
Precise statement
For four particles and local dimension $D \ge 4$, can a complete edge-coloured, complex-weighted graph have unit perfect-matching amplitude for every monochromatic inherited colouring and zero for every nonmonochromatic one? Ruled out for the whole family, including the real-, integer- and trinary-weight variants.
The source statement is reproduced for indexing with attribution. Mathematical correctness requires domain-expert or mechanical review. VibeMath has not independently audited statement fidelity, correctness, priority, or novelty.
What AI did
Verification boundary
Lean-checked; formal proofs published with DeepMind's AlphaProof Nexus report (arXiv:2605.22763).
Correctness: supported · statement fidelity: audited · peer review: none
Timeline
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arXiv:2605.22763 - AlphaProof Nexus report
the N = 4, D ≥ 4 family is fully ruled out; the general two-parameter problem remains open
Known method families
construction (source-reported)
Source-reported tools: construction.
Independent: unknown · difference confidence: 0
What remains uncertain
VibeMath has not independently audited the mathematical statement, proof, or novelty claim.
- VibeMath has not independently verified the mathematical claim.
- AI-attempt independence and training-data exposure are unknown unless explicitly documented.
- VibeMath has not independently audited the mathematical statement, proof, or novelty claim.