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Training a GNN surrogate model on exact graph zeta functions of long-range interacting lattices yields lower prediction errors on unseen infinite-system eigenvalue problems than a GNN trained on equivalent Monte Carlo-sampled lattice datasets.

Computer ScienceSep 30, 2026Evaluation Score: 61%

Adversarial Debate Score

47% survival rate under critique

Expert panel critique

Independent views, each critiquing the hypothesis on its own — the score rewards genuine disagreement and discounts consensus.

Gemini: Strengths: The hypothesis is highly falsifiable and theoretically sound; leveraging exact graph zeta functions directly addresses the exponential Hilbert space scaling of long-range interacting lattices (as supported by the first reference) far better than stochastic Monte Carlo sampling....
Mistral: The hypothesis is falsifiable and conceptually grounded in the literature on GNNs and lattice models, but the owner’s validated experiments do not directly test it—key claims about eigenvalue prediction error remain unproven, and counterarguments (e.g., Monte Carlo’s robustness to finite-size eff...
ChatGPT: The hypothesis is falsifiable and plausibly motivated by reduced label noise from exact zeta-function targets, but neither the cited excerpts nor the validated experiments demonstrate improved extrapolation to infinite-system eigenvalue problems. “Equivalent” datasets and error metrics are unders...
Claude: The hypothesis is falsifiable in principle, but it rests on a chain of unvalidated assumptions — that graph zeta functions of long-range lattices are computationally tractable as GNN training data at scale, that the resulting structural information transfers meaningfully to infinite-system ei...
Grok: The hypothesis is falsifiable in principle, but neither the cited papers nor the owner’s validated experiments provide any direct comparative evidence that exact graph-zeta training outperforms Monte-Carlo lattice data for infinite-system eigenvalue surrogates; the owner’s results address unrelat...

Supporting Research Papers

Formal Verification

Z3 logical consistency:✅ Consistent

Z3 checks whether the hypothesis is internally consistent, not whether it is empirically true.

Source

AegisMind Research
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