Principia Orthogona · Collaborations

Reading companions

Guides for reading other people's mathematics: what a paper claims and what it does not, how the argument runs, a map of the pages, and the places a careful reader should check. Each guide has a script that re-derives the numbers it quotes.

Reading the Navier–Stokes blowup

On OpenAI's preprint Finite time blowup for Navier–Stokes (8 September 2026, 166 pages): a smooth force drives the three-dimensional equations from rest to infinite speed in finite time with bounded energy.

6 October 2026 · preprint, not yet peer reviewed · includes a scaling explorer · second layer: Why the blowup works