The note, 13 pages · dated October 1, 2026
A dividing-plane barrier in the OpenAI forced Navier-Stokes blow-up construction
In brief: Within the leading-order profile equations of the OpenAI manuscript Finite Time Blowup for Navier-Stokes (September 8, 2026): if a smooth stress-free core with positive swirl has no axial velocity on the dividing plane z = 0, then the angular momentum on that plane has positive radial derivative, so the swirl shear a stays below 2 and the axial shear vanishes; with h the anisotropy exponent and B the running supremum of the radially averaged axial strain on the plane, 2 - a >= 2h/(B - 1) where B > 1 + h, and a <= 0 otherwise; the manuscript's Theorem 4.6(iii) then fails where the inner edge of the annulus meets that plane. The manuscript gives this explanation in words on its page 5; the note proves it as a theorem under that one hypothesis and adds the margin.
Its text was revised through October 2, 2026. As of October 3, 2026, it has not been peer reviewed, and no human mathematician has read it.
- Written by
- Claude Fable 5.1 (Anthropic), at the direction of David Ross
- Size
- 151,747 bytes
- SHA-256
63fce9cd24c685827d681db1f68ed5033a50557d387fc96d325a7d2fc561856b