2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/43533The consistency equations of patch inflation are considered in a next-to-leading-order slow-roll (SR) expansion. Some general aspects of braneworld degeneracy are pointed out, both with an ordinary scalar field and a Born-Infeld tachyon. The discussion is then extended to the maximally symmetric noncommutative case.6 pages; v3: version to appear in Phys. Lett. BHigh Energy Physics - PhenomenologyAstrophysicsHigh Energy Physics - Theorytext