I do have some questions:
1. Where will this device reside once the universe is gone?
2. What is the point of keeping time after everything is gone?
3. Is there an assumption that there will be another big-bang after the death of the universe and the device will then be in the new universe?
4. If the assumption in the previous question holds true, since we measure time in a very earthly manner, what will it mean to the beings that get into the possession of this device?
Anyone care to elaborate?