Abstract: I will discuss a theory I developed way back in 2023 at UCSD with whoever was around including Adrian Ioana, David Gao, Gregory Patchell, Hui Tan etc, pushing some of McDuff's ideas from the 60's to a surprising new setting. This was used for various activities of mine in the past years such as constructing non elementary equivalent pairs of II1 factors with spectral gap, finding non pseudocompact II_1 factors, single generation problem etc. There's still plenty of math left to do here, so I invite you to join.