Super Spiral Universe (超螺旋宇宙, Chou Rasen Uchuu) is a reality that is created by Simon, that exists within the galactic scale red demon god; Tengen Toppa Gurren Lagann. It is a space where thought becomes reality. It is a realm that is required to be formed, so that Tengen Toppa Gurren Lagann, and most likely for other Tengen Toppa Gunmen to emerge.
In the fight between Team Dai-Gurren and Antispiral, this was utilized by creating several signature weapons of the team, such as the Tengen Toppa Superconducting Rifle, manifested by Yoko, and the Tengen Toppa Enki Sword, manifested by Viral, etc. It was even used by Lordgenome to recreate his original body, so that he may also be able to fight against Antispiral.
This name is incorrectly (but understandably) used for Antispiral's Universe, because of Lordgenome's claim that he and Team Dai-Gurren were in the Super Spiral Universe, which people misinterpreted as the realm, in which Tengen Toppa Gurren Lagann itself stood.