No Observable Inherited Rotation in Torsion-Bounce Black-Hole Cosmology

Popławski has proposed that our universe formed inside a rotating black hole and inherited its rotation axis, which could align galaxy spins and act as a source of dark energy. This note tests that proposal against the inflationary phase of the same Einstein-Cartan torsion-bounce model, using the standard relation (ρ + p)a^5ω = constant and the Planck vorticity limit (ω/H)₀ < 5.2 × 10^-11. If inflation lasts about 60 e-folds, a maximal inherited rotation falls to roughly 10^-30 of the expansion rate today. If inflation is short, rotation survives but exceeds the Planck limit unless the parent's spin was below about 10^-27 to 10^-32 of its maximum. In neither case does an observable inherited axis arise without fine-tuning, and inherited rotation cannot supply dark energy. Order-of-magnitude estimates from published relations; AI tools were used for literature search, calculation and drafting, as stated in the note.