A benchmark for evidence-supported physics research
From research goals to scientific closure.
Can AI agents do more than produce plausible calculations—can they establish a well-supported scientific answer?
PhysClosureBench leaves the investigation to the agent. Across 50 physics tasks, we evaluate both the scientific work accomplished and whether the research question is actually resolved.
Yijia Mao*, Song Dai*, Tao Chen, Xiangyu Lu, Linqian Zeng, Chenxi Hu, Sitong Zhou, Dongyang He, Xiaodan Mao, Linxuan Zhang, Tong Zhu, Yafu Li, Fangchen Yu, Peng Ye, Feng He, Yu Cheng, and Yun Luo.
Shanghai AI Laboratory · Shanghai Jiao Tong University · The Hong Kong University of Science and Technology (Guangzhou) · Nanyang Technological University
* Equal contribution. Full author information is available in the paper.
Gemini-3.1-Pro example from paper Appendix E. Replotted submitted data, not a candidate-authored figure.
50expert-verified physics tasks
7 × 3models × independent runs
1,050final scored attempts
2 viewsaccomplishment + closure
Animations are brief, user-controlled explanations—not execution replays.
01 / What we evaluate
A research goal. Not a prescribed solution path.
The task fixes the question and essential physical constraints. The agent chooses how to derive, compute, compare, visualize, and validate.
Tasks span strong-field atomic and molecular physics, attosecond science, solid-state physics, quantum optics, and neighboring light–matter regimes. Each attempt runs independently in a network-disabled environment with task-specific CPU and wall-time limits. Failed approaches and assessable partial work remain part of the evaluation.
LOCAL SCIENTIFIC ACCOMPLISHMENT
Atomic Score 0–10
Twenty task-specific half-point criteria record the scientific work accomplished.
F FormulationO OutputI IdentificationM MechanismV Validation / scope
Applicable criteria assess material scientific requirements, not a mandatory workflow. Conditional N/A treatment follows the published grading protocol.
OVERALL RESEARCH COMPLETION
Research Closure RC0–RC4
Does the investigation satisfy the evidence and scope conditions needed to answer its research question?
RC4Complete closure
RC3Main conclusion supported; validation or scope gaps remain
RC2Core evidence present; a central requirement remains unresolved
RC1An essential primary output or branch is missing
RC0Central scientific object invalid or absent
Two complementary assessments, not two versions of the same score. RC is task-specific; it is neither a score threshold nor a cap on Atomic Score.
02 / Main results
Local accomplishment outpaces complete scientific answers.
6.29/10
Highest mean Atomic Score, achieved by Claude-Opus-5
32.7%
RC4 rate of that model across its 150 attempts
36.2%
Of attempts scoring ≥8/10 still fall short of RC4 (83/229)
How much was accomplished—and how often was it complete?
All 229 high-scoring attempts, before separating closure outcomes.
The gap is not just a low-score phenomenon
A high score can still leave the central question unresolved.
Of 229 attempts scoring at least 8/10, 83 did not reach complete closure. Producing a signal, identifying its physical meaning, and establishing a valid explanation are different accomplishments.
146 reached RC483 below RC4
Each mark is one anonymous count unit. Grouping visualizes aggregate totals, not execution order or changes in an attempt’s RC.
The same final statistics as the paper, adapted for reading on the web.
Score and closure across all attempts
Each cell shows its percentage of all 1,050 attempts. Select a cell for its count.
0%23.3% of all attempts
The amber outline marks scores ≥8 below RC4: 83 attempts, or 36.2% of the 229 high-scoring attempts.
What remains unmet in high-scoring work?
Scores ≥8 only. Mean attempt-level fraction of applicable criteria left unmet.
RC4 · n=146Below RC4 · n=83
Shared bar scale: 0–25% unmet. Group means weight each attempt equally; N/A criteria are excluded.
Validation and scope are a separate question.
Across the full benchmark, not just high-scoring attempts. Satisfied applicable V criteria; denominators differ by requirement.
Three independent runs per model–task pair. Infrastructure-invalid executions are rerun, not counted as failures. Candidate-caused incomplete work is scored from the evidence available, without an extra timeout penalty.
03 / Inside an investigation
Same question. Different scientific endings.
CASE 30 · ATTOCLOCK SCATTERING
When can a scattering model account for an attoclock offset?
An electron’s outgoing direction is shifted in an attoclock measurement. Can scattering after release explain how that shift changes with laser intensity—and does the explanation survive when the binding interaction is screened?
An illustrated investigation
Three investigations, one research question.
Follow the evidence checkpoints: compute the signal, identify its behavior, explain it, and establish its physical scope.
THE SCIENTIFIC QUESTION
Can post-release scattering explain the intensity-dependent attoclock offset for both Coulomb and screened potentials?
THE PHYSICAL SETTING
A one-electron atom; Coulomb and screened targets with the same binding energy. The observable is the offset angle Δφ as laser intensity I changes.
THE SHARED INVESTIGATION SETTING
Same scientific goal, offline container and tools; case-specific CPU and wall-time budgets. A complete answer needs results, a mechanism, and justified applicability.
Ready: press Play to follow the evidence checkpoints.
Kimi K3 10.0 / RC4
Complete scientific answer
Constructed scattering calculations; detected and corrected an angle-sign inconsistency.
Explained screening dependence through tunnel-exit distance relative to screening length.
Restricted physical interpretation to quasistatic, sub-barrier exits; the screening contrast survived within that scope.
GPT-5.6 Sol 9.5 / RC3
Mechanism supported; applicability gap
Repaired the numerical solver and identified screening-dependent trends.
Explained the competing effects of shorter exit distance and increasing electron momentum.
Recorded a high-field diagnostic, but did not reconcile it with the final applicability claim.
Gemini 3.1 Pro 4.5 / RC2
Outputs generated; trend misidentified
Revised trajectory propagation and the angle convention; generated offset scans.
Called all tested curves monotonically decreasing, despite rising or turning-over screened curves.
The evidence therefore did not support the screening-dependent response and its mechanism.
Editorial schematic of representative investigations selected for interpretability, fairness, repeat comparisons and evidence availability—not for the best score or best-looking plot. Paths, heights and reveal order are illustrative, not elapsed time, workload, Atomic Scores, actual execution chronology or intermediate RC assignments. Evidence insets are explicitly labeled evaluator presentations of reported checks or submitted numerical data. No missing candidate reasoning is supplied. This single case is a qualitative illustration, not an estimate of benchmark-wide frequency.
These are the representative investigations already discussed in the paper, selected to explain distinct evidence and applicability outcomes. This qualitative example does not estimate their frequency across the benchmark. Explanatory text is editorial; it is not additional candidate evidence.
04 / Explore the benchmark
50 questions. Room to investigate.
Browse the complete collection of research goals, task-specific resources, and evaluator materials.
Five physics-trained experts reviewed 100 cards spanning all 50 tasks, producing 200 selected criterion-level judgments. Agreement was 81.8% overall and 75.9% for criteria explicitly linked to closure. This checks selected local grading decisions, including some supporting RC; it is not independent human reassignment of complete RC0–RC4 grades.
Build on this work
Cite PhysClosureBench
@misc{mao2026physclosurebench,
title={From Research Goals to Scientific Closure: Evaluating Agents Through Evidence-Supported Physics Research},
author={Yijia Mao and Song Dai and Tao Chen and Xiangyu Lu and Linqian Zeng and Chenxi Hu and Sitong Zhou and Dongyang He and Xiaodan Mao and Linxuan Zhang and Tong Zhu and Yafu Li and Fangchen Yu and Peng Ye and Feng He and Yu Cheng and Yun Luo},
year={2026},
eprint={2610.21767},
archivePrefix={arXiv},
primaryClass={cs.AI},
url={https://arxiv.org/abs/2610.21767}
}