{"id":7070235,"date":"2026-09-30T16:25:04","date_gmt":"2026-09-30T16:25:04","guid":{"rendered":"https:\/\/fivemor.com\/?p=7070235"},"modified":"2026-09-30T16:25:04","modified_gmt":"2026-09-30T16:25:04","slug":"worldparticle-unified-world-simulation-of-lagrangian-particle-dynamics-via-transformer","status":"publish","type":"post","link":"https:\/\/fivemor.com\/?p=7070235","title":{"rendered":"WorldParticle: Unified World Simulation of Lagrangian Particle Dynamics via Transformer"},"content":{"rendered":"<p> <br \/>\n<\/p>\n<div id=\"post-4604\">\n<p>\t\t\t\t\t<!-- .entry-meta --><\/p>\n<div class=\"entry-content\">\n<p class=\"wp-block-paragraph\">Caoliwen Wang, Minghao Guo, Siyuan Chen, Heng Zhang, Mengdi Wang, Xingyu Ni, Hanson Sun, Kunyi Wang, Zherong Pan, Kui Wu, Lingjie Liu, Yin Yang, Chenfanfu Jiang, Taku Komura, Wojciech Matusik, Peter Yichen Chen<\/p>\n<p class=\"wp-block-paragraph\">A unified simulator that can model diverse physical phenomena without solver-specific redesign is a long-standing goal across simulation science. We present a learning-based particle simulator built on a single transformer architecture to model cloth, elastic solids, Newtonian and non-Newtonian fluids, granular materials, and molecular dynamics. Our model follows a prediction-correction design on a shared Lagrangian particle representation. An explicit predictor first advances particles under the known external forces, producing an intermediate state that captures externally driven motion but not inter-particle interactions. A learned corrector then predicts the residual position and velocity updates through three stages: a particle tokenizer that encodes local particle-particle, particle-boundary, and topology-guided interactions; a super-token encoder that hierarchically merges particle tokens into a compact set of super tokens via alternating self-attention and token merging; and a super-token decoder that lifts these super tokens back to particle resolution through cross-attention to predict per-particle position and velocity corrections. Progressive token merging reduces the attention cost at successive encoder layers by halving the token count at each level, and the decoder communicates through the compact super-token set rather than full particle-to-particle attention. Across the six dynamics categories, the same architecture generalizes to unseen materials, boundary configurations, initial conditions, and external forces. We further demonstrate downstream interactive control, inverse design, and learning from real-world manipulation data, reducing the need for per-phenomenon solver engineering.<\/p>\n<p class=\"wp-block-paragraph\">WorldParticle: Unified World Simulation of Lagrangian Particle Dynamics via Transformer<\/p>\n<\/p><\/div>\n<p><!-- .entry-content --><\/p>\n<div class=\"entry-utility\">\n\t\t\t\t\t\t\tThis entry was posted in <a href=\"https:\/\/www.physicsbasedanimation.com\/category\/uncategorized\/\" rel=\"category tag\">Uncategorized<\/a>. Bookmark the <a href=\"https:\/\/www.physicsbasedanimation.com\/2026\/09\/23\/worldparticle-unified-world-simulation-of-lagrangian-particle-dynamics-via-transformer\/\" title=\"Permalink to WorldParticle: Unified World Simulation of Lagrangian Particle Dynamics via Transformer\" rel=\"bookmark\">permalink<\/a>.\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n<p><!-- .entry-utility -->\n\t\t\t\t\t<\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Caoliwen Wang, Minghao Guo, Siyuan Chen, Heng Zhang, Mengdi Wang, Xingyu Ni, Hanson Sun, Kunyi Wang, Zherong Pan, Kui Wu, Lingjie Liu, Yin Yang, Chenfanfu Jiang, Taku Komura, Wojciech Matusik, Peter Yichen Chen A unified simulator that can model diverse physical phenomena without solver-specific redesign is a long-standing goal across simulation science. We present a [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":7070236,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[12035],"tags":[11538,231186,231187,6283,147342,26747,2379,231185],"dealstore":[],"offerexpiration":[],"class_list":["post-7070235","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-animation","tag-dynamics","tag-lagrangian","tag-particle","tag-simulation","tag-transformer","tag-unified","tag-world","tag-worldparticle"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.4 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>WorldParticle: Unified World Simulation of Lagrangian Particle Dynamics via Transformer - Som2ny Network<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/fivemor.com\/?p=7070235\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"WorldParticle: Unified World Simulation of Lagrangian Particle Dynamics via Transformer - Som2ny Network\" \/>\n<meta property=\"og:description\" content=\"Caoliwen Wang, Minghao Guo, Siyuan Chen, Heng Zhang, Mengdi Wang, Xingyu Ni, Hanson Sun, Kunyi Wang, Zherong Pan, Kui Wu, Lingjie Liu, Yin Yang, Chenfanfu Jiang, Taku Komura, Wojciech Matusik, Peter Yichen Chen A unified simulator that can model diverse physical phenomena without solver-specific redesign is a long-standing goal across simulation science. 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