After clearing up the castle from those several corpses, Timothy had four tasks in mind, each of which were more important than the other, but yet their prioritization varied. He didn’t prioritize the most important task, such as the deeper understanding of the flow of time, no, he thought that such a task would take a long time until he saw some benefits out of it, so he didn’t want to officially start it.
Instead, he got to the castle library, and wanted to absorb as much information as he could about this universe, or, this specific timeframe of the universe. He wanted to do so for numerous reasons, and the reasons intertwined with his other ideas, including the most important one! He figured that if he understood this crimson time period of this place better, he might also be able to understand the needle universe more thoroughly, and therefore the passing of time. It wasn’t the worst plan in the world.