The Temporal Study Room

I can imagine a college in the far, far future that has a study room. This study room can fit all the students in the school and yet it is only about 10 feet in width, length, and height. This is the temporal study room. It exists as tiny room in our slice of time, but it exists throughout history. The architects, assuming they can manipulate space and time, created this room as a permanent etching, or stitch, into the fabric of space and time. It has existed in the universe since the Big Bang and will exist for all of time. And yet, it was created at some moment in time by the architects. And yet it wasn’t.
A student who wants to use this room can select at which time they want to study and for how long. If a student can spend a maximum of three hours to study, this room can fit ~40 trillion students. It would be strange to work in this room and, when the time is up, for another student to walk through the door, a student who (when compared to your timeline) hasn’t been born for centuries or has died centuries before you were born. Let’s say that in this college, students teleport from room to room. This technology has existed for centuries. You could teleport to this room, knock on the door, and find the physicist who created the teleporter at work and suddenly come up with the brilliant idea that allowed you to reach the room just minutes ago. Of course, this is a ghostly image of the past, but it is still incredible to think about.
Let’s say that the room ran out temporal space. Every moment, from the dawn of the universe to the end of the time is filled with students doing their work. What do the architects do? They simply create a new room a few feet away from the previous room. This fits an additional 40 trillion students. The architects of the very far future will build homes and structures out of space and time. We will be able to curve space like Play-Doh and walk through time like a stroll in the park.
For some reason, I feel slightly uneasy with our confinement in this dimension.
