User blog comment:Xilinoc/Ch. 542 - THE BLADE IS ME/@comment-11051098-20130619142823/@comment-5398287-20130619153537

Well, to me, all the places Ichigo physically inhabits are part of the "real world". If I were referring to the place where the Humans exist, I'd say the "Human World". Basically, Ichigo's inner world and the world Ichigo physically inhabits are two separate areas, and since Ichigo's inner world is in him, not the outside wold, it's not the real world.

tl;dr Real world is everything except inner worlds.