How about he can travel through Luceti's past whenever he wants; obviously, nobody will know since he'll just be gone, and even if he changes something in the past, when he returns to this point in the present he'll see that it didn't have any effect since the Malnosso would have just altered it anyhow.

As for the future...I suppose he could go to the future, but the nature of Luceti gives it infinite possibilities, so maybe he could just end up in one of them? IDK, time-travel is always a twitchy thing. >:\