Now that I've calmed down and the sun is coming up, it's obvious: I have to look inside that bronze block.

It was here when I arrived. I just thought it was another solid monument. But when I hit it, it's hollow! It's so obvious! Somehow the time machine was taken inside here! But I can't get in! There are no handles or gaps on the outside. It must have some special way of opening!
Should I try to make the people to help? Or should I try to understand why they put it there? Or do something else?