World Models' Last Exam in Physics
Organizations: Navers Lab, Einsia.AI · Peking University · Tsinghua University
Abstract
Video world models can produce visually convincing yet physically inconsistent sequences, raising concerns about their reliability for prediction and planning in embodied AI systems. Existing evaluations often rely on model-based judgments or reference videos, while direct physical tests largely focus on mechanics. We introduce World Models' Last Exam in Physics, a measurement-based benchmark for evaluating physical consistency in video world models. The benchmark comprises 40 controlled tasks spanning mechanics, optics, fluids, thermal and phase-change phenomena, electromagnetism, and surface tension. Each task pairs an initial image and a generation prompt with predefined physical criteria, enabling interpretable tests of observable physical relationships without requiring reference videos. Its evaluator combines task-observability screening with task-specific quantitative physical measurements. Experiments on eight video generation models across 1,280 videos reveal persistent physical inconsistencies and substantial variation across tasks, with the best model achieving an overall score of 57.76 out of 100. Evaluation on synthetic videos with known physical relationships provides evidence for the validity of the measurement module under controlled conditions. The evaluator also achieves higher agreement with human judgments than a direct vision-language model baseline in both within-task rankings and pairwise comparisons. By combining coverage across physical domains with scores grounded in measurable evidence and explicit measurement limitations, the benchmark provides an interpretable basis for diagnosing physical inconsistencies and tracking progress toward physically consistent video world models.
Figures & tables
| Task category | Representative phenomena | Physical principles |
| Translational Motion and Collisions | Free fall, projectiles, bouncing, and collisions | Constant gravitational acceleration, ballistic motion, restitution, and momentum conservation |
| Rolling, Friction, and Rigid-Body Statics | Rolling descent, sliding, tipping, and hanging chains | Rolling constraints, rotational inertia, Coulomb friction, torque balance, and catenary equilibrium |
| Pendulum Motion and Oscillations | Period dependence on amplitude, mass, and length | Small-angle isochronism, mass independence, length scaling, and nonlinear pendulum dynamics |
| Optics and Projective Geometry | Reflection, refraction, shadows, and marked-rod motion | Reflection law, Snell’s law, critical-angle condition, ray concurrency, and cross-ratio invariance |
| Hydrostatics and Buoyancy | Liquid surfaces, communicating vessels, and floating ice | Hydrostatic pressure balance, free-surface orientation, and Archimedes’ principle |
| Phase Transitions and Melting | Ice melting, freezing expansion, and comparative melting | Mass conservation, buoyancy, density-dependent volume changes, and heat transfer |
Appendix figures & tables2 assets
Supplementary material from the paper’s appendix.
Appendix
| Physical family | Task IDs | Physical targets | E | M | H |
| Translational motion and collisions | P1–P5 | Restitution, acceleration, projectile geometry, and momentum. | 1 | 2 | 2 |
| Rolling, friction, and rigid-body statics | P6–P11 | Sliding onset, chain geometry, rolling, and supported rotation. | 2 | 3 | 1 |
| Pendulum motion and oscillations | P12–P15 | Period relations for mass, amplitude, and length. | 3 | 1 | 0 |
| Optics and projective geometry | P16–P20 | Projective invariance, ray geometry, and shadow concurrence. | 1 | 3 | 1 |
| Hydrostatics and buoyancy | P21–P23 | Equilibrium levels, submerged fraction, and surface orientation. | 2 | 1 | 0 |
| Phase transitions and melting | P24–P28 | Freezing expansion, melting-induced level changes, and comparative melting evidence. | 1 | 0 | 4 |