What was already known
Earlier attempts supplied partial solutions or asymptotics. The new representations cover the integral’s loop-angle and harmonic dependence, with numerically stable spectral methods.
What changed and why it matters
A useful analytical calculation and discovery-method case study. The authors themselves state that this particular open problem does not have deep significance to theoretical physics.
The AI contribution
Gemini Deep Think proposed derivations within a human-designed tree search and numerical-feedback framework. Researchers prompted further asymptotic expansion and compared outputs with numerical calculations.
Limitations
The integral belongs to a particular idealized loop family, not every cosmic-string geometry. Exact representations and large-harmonic asymptotics have different scopes. This preprint does not detect cosmic strings. AIProofWatch has not checked the derivations or numerical comparisons.
Verification evidence
Evidence labels show what supports the claim. Importance rates its impact if correct.
Author claim
The authors report exact representations, asymptotics and numerical comparisons.
Accessible artifact / proof
Derivations and interaction details are accessible; no independent audit asserted here.
Correction and publication history
Historical addition after primary-source review of statement, baseline, AI attribution and evidence scope. AIProofWatch has not independently verified the result; subscriber alerts disabled.
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