Positive-time universe
By some accounts, the Doctor lived in the universe of positive-time, also known as Rassilon's continuity, a reality created and maintained by a positive Web of Time which separated it from anti-time and the wider antiverse. (AUDIO: Neverland, Zagreus) One account suggested that this universe was not synonymous with the Doctor's universe as a whole; this particular Web of Time only allowed one possible history, and the outside anti-time was connected to billions of alternative realities, some of which had other Doctors who were just as primary as the positive-time Doctor. (AUDIO: Zagreus)
Behind the scenes
Gary Russell refers to this reality as the "Big Finish universe" in The Audio Scripts: Volume Four.