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Principia: Relational Physics Tests for Video Models

arXiv cs.CV Multimodal & Generative Varun Varma Thozhiyoor, Shivam Tripathi, Venkatesh Babu Radhakrishnan, Anand Bhattad 2026-09-03

TL;DR - Principia is a benchmark for testing whether video models preserve Newtonian relationships between paired objects without requiring camera calibration. Its results expose a substantial gap between standard video-quality scores and actual physical consistency.

  • Covers eight phenomena, including gravity, friction, momentum, projectile motion, rotational inertia, and oscillatory systems.
  • Introduces a calibration-independent score that measures relational physics violations directly in image space.
  • Across thousands of samples from six leading video generators, no model scored above 0.42 on Principia, despite scoring around 0.8 on VBench.
  • Vision-language models also struggled to identify physics violations: the best reached 67% accuracy, while most performed near chance.

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