{"ok":true,"article":{"slug":"the-field-knows-cross-dimensional-geometry-from-navigation-to-black-holes-7df09630","title":"The Field Knows: Cross-Dimensional Geometry from Navigation to Black Holes","url":"https://arxiv.org/abs/2608.07566","canonical":"https://www.aimode.news/article/the-field-knows-cross-dimensional-geometry-from-navigation-to-black-holes-7df09630","sourceName":"arXiv cs.AI","summary":"arXiv:2608.07566v1 Announce Type: new Abstract: We introduce a continuous metric field framework trained by a single causal contrastive loss. The framework encodes a scene into coefficients of a fixed symmetric matrix basis, assembles them into a Lie algebra element, and exponentiates the result to a Riemannian or Lor…","category":"AI","image":"https://static.arxiv.org/icons/twitter/arxiv-logo-twitter-square.png","lang":"en","publishedAt":"2026-08-11T04:00:00+00:00","createdAt":"2026-08-11T19:09:30.456448+00:00"}}