I find that this is the real source of Aperiophobia mentioned in another post. However, I have come to think that Aperiophobia is more complex than mere fear of boredom, which can hypothetically be fixed on this idea of “Travelling in hope than arriving”. C.S. Lewis tackled this question in “The Great Divorce”, where this idea of finding truth felt so stagnant, but was demolished with the realization of endless travelling in hope means there is nothing to hope for. However, the other side of the coin of endless progress brings up the problem of non-identity. I find that it is easy to mistaken infinity as the doors to non-identity in A) either everything in general and therefore nothing in particular, considering that our natural way of being able to identify something there has to be boundaries or a beginning and end or B) infinity as complete, but finitude having infinite insignificance, which if I may, use the analogy of outer space, which can seem scary in how large the universe and how long it has been in existence, where everything we know has numerical insignificance. So it seems like the created world can appear to have even more insignificance than the outer space analogy posits.
Now when it comes to boredom, I find that comes from the idea of finitude, and the experience how anything we can grasp at is very unsubstantial and shallow. Plus there is also the side of finitude where what has a beginning has a necessary end in order to give form, hence the passing nature associated with temporality.
My proposal is that these two paradoxes of finitude and infinity need to be held together without tension. I think it was Chesterton who emphasized the importance of boldly asserting paradox without any bland compromises. SO I find this paradox can say that rejects A) Non-identity, B) Boredom or C) any bland compromise where infinity demeans finitude. How this could be possibly understood, I dont think it can be intellectually grasped at and requires a whole different way of knowing that is both clear and mysterious like C.S. Lewis soup analogy.