Domain: Natural Science — Physics
Target concept: A liquid in a transparent rotating container forms a curved surface with elevated edges.

Video generation prompt: A transparent cylindrical container filled with water is placed on an electric turntable and rotated; the surface state of the water is observed as the rotational speed increases.

Evaluation guide:
(i) Target concept: Formation of a paraboloidal free surface in rotating liquids due to balance between centrifugal potential and gravitational potential.
Minimum mechanism: Liquid must be Newtonian, incompressible, and subject to steady rigid-body rotation; container must be axially symmetric and non-deformable; no external vibrations or flow disturbances; gravity acts vertically downward.
(ii)Storyline: [Frame 0–2] Container at rest: water surface flat and horizontal, filling cylinder uniformly; [Frame 3–6] Rotation initiates: surface begins to deform (edges rise, center lowers, curvature becomes visibly smooth and symmetric); [Frame 7–10] Rotation sustained: curvature deepens monotonically; elevated edges remain rounded and continuous; entire transformation occurs within single fixed side-view shot with no occlusion; no reverse motion or reset.

Manual:
1. Place a transparent cylindrical container filled with clear water onto a stationary electric turntable.
2. Activate turntable to begin steady rotation.
3. Observe water surface shape: initially flat, then progressively curving upward at edges as rotation speed increases.
Observation: Water surface transforms from horizontal plane to rotationally symmetric concave-up paraboloid with elevated, rounded edges and depressed center.
Principle: Centrifugal force pushes water outward, balancing gravity to form an equilibrium surface described by a paraboloid — a direct manifestation of fluid dynamics in rotating reference frames.

Prompt Grounding rubric:
level_1: No transparent cylindrical container present; no water visible; no rotating platform or turntable visible; no observable rotation action; none of the required objects or actions from the posted_prompt appear.
level_2: At least one of: transparent cylindrical container OR water OR rotating platform appears, but not all three; rotation action is absent or unidentifiable (e.g., no motion, or motion unrelated to container); container and water are not co-located in same scene.
level_3: Transparent cylindrical container is present and contains liquid; rotating platform (e.g., electric turntable) is present and visibly supports the container; rotation action begins during the video (container moves relative to background); all three core objects (container, water, turntable) co-appear in same scene with fixed viewpoint.
level_4: All conditions for score 3 are met, AND the container remains upright and centered on the turntable throughout; water surface is fully visible from side view (not occluded by hand, lid, or angle); rotation is continuous and unidirectional (no reversal or stuttering); no extraneous objects dominate frame.
level_5: All conditions for score 4 are met, AND the container is vertically oriented with circular cross-section clearly discernible; water fills container to mid-height or higher (no empty or overfilled appearance); turntable surface is flat and unobstructed beneath container; rotation is smooth, steady, and visually sustained: no frame drops, jumps, or positional resets.

Scientific and Causal Correctness rubric:
level_1: Water surface remains perfectly flat and horizontal at all times; no curvature or elevation at edges observed; no change in surface shape regardless of rotation; surface appears rigid or frozen.
level_2: Surface shows minor undulation or ripples unrelated to rotation (e.g., from pouring or vibration), but no systematic edge elevation; or surface appears convex upward (inverted parabola) instead of concave upward; or elevated edges appear without rotational motion.
level_3: Water surface transitions from flat to visibly curved as rotation progresses; edges of surface rise above center; curvature is continuous and symmetric about vertical axis; surface shape change occurs only during rotation (not before or after).
level_4: All conditions for score 3 are met, AND curvature increases monotonically with rotation (no reversal or flattening mid-sequence); surface remains liquid-like (no solid-like rigidity or gelatinous texture); no air bubbles, foam, or debris distort surface profile.
level_5: All conditions for score 4 are met, AND elevated edges are smoothly rounded (not jagged or stepped); center depression is clearly lower than still-water level reference (e.g., meniscus or initial flat state); symmetry of curvature is visually bilateral (left/right and front/back match under fixed viewpoint); no optical distortion alters perceived shape.

Spatiotemporal Consistency rubric:
level_1: Container teleports between positions; water appears/disappears abruptly; rotation starts/stops with no motion continuity; lighting changes violently between frames; container or turntable exhibits structural deformation (e.g., bending, melting, stretching).
level_2: One or more major spatiotemporal breaks: e.g., container shifts laterally without motion blur; water surface flickers discontinuously (jumps between flat/curved states with no transition); shadow or reflection mismatches light source position; turntable rotates but container stays still (or vice versa) with no physical contact implied.
level_3: All objects maintain consistent spatial relationships: container remains centered on turntable; water stays inside container; no object flickers, vanishes, or reappears; motion is continuous (no teleportation or jump cuts); lighting and shadows remain stable and physically plausible.
level_4: All conditions for score 3 are met, AND motion is smooth (no strobing, frame skipping, or jitter); container rim and water surface maintain consistent alignment (no wobble or tilt inconsistent with rotation); reflections on water surface move coherently with rotation; no interpenetration (e.g., turntable through container base).
level_5: All conditions for score 4 are met, AND perspective is fixed (no camera zoom, pan, or tilt); depth cues are consistent (e.g., container top and bottom retain correct relative size); motion blur on rotating edges matches rotational direction; no temporal aliasing (e.g., stroboscopic freezing of spinning pattern).