Making the render texture blend in with its environment

I'm creating a maze that will function like the building in episode 66 of Bleach, but instead of it being doorframes that separates rooms, it's corridors. I've placed render textures and cameras in the middle of the corridors, and I want it to look like the corridors are empty even when the player is getting closer or further away from the render texture.

I know that I want the render textures and cameras to work like that of Antichamber, where the player gets to experience impossible geometry and the like (thanks to render textures and cameras - in certain parts of the game), but I have no clue on how to do this, will you please help me?