The Torah world simply means the community who takes Torah very seriously and lives their lives around it and its study. It’s very real. Walk inside BMG, and any beis medrash for baalei batim in Lakewood, and you’ll see a Torah world. Even moreso in eretz yisroel.
That’s the only real world. The others, obsessed with the pursuits of this world, are not in the Torah world, but rather in the world of olam hazeh, of gashmius, of nationalism, of democracy, or othersl made up fantasies.