What was already known
Earlier fluid-computation constructions used stationary Euler flows on adapted metrics, noncompact Beltrami fields, tape-bounded torus simulations or metric-deformed viscous equations. This claim fixes the flat metric, zero initial velocity and solenoidal forcing.
AI involvement
OpenAI credits itself as manuscript author and states that its internal frontier model produced the results in this release. Individual human input is not detailed enough to establish task-only autonomy.
OpenAI is named as author on the manuscript, and its release attributes the results to an internal frontier model. The individual human input is not detailed enough to establish autonomy.
Importance
Gives an effective machine-to-fluid reachability construction with a fixed observer and incompressible forcing.
Limitations
The force depends on the machine and input; this is an existence construction, not a Navier–Stokes regularity theorem for arbitrary data. The family’s Lean note covers later sheet, box and other halting constructions, not this exact first-manuscript torus theorem.
Technical verification
Reported is the default when evidence for a higher level is insufficient. The OpenAI-authored manuscript reports and argues the result, but the reviewed sources do not document a completed check of the full assessed claim.
Human understanding
Few is the default when evidence for a higher level is insufficient. No named person is documented as explaining the central argument for this assessed contribution.
Correction and publication history
Primary manuscript, attribution, prior-work, and scoped checking review for non-notifying local inclusion.
Read this published revision