The Memory program allows you to track the Scyphozoa's progress in affecting its victim.
There is no way to open it manually, the only solution being to wait for the Scyphozoa to grab a warrior. If something prevented the window from opening or someone closed it, it can be opened again by right-clicking the Scyphozoa on the Virtual Map.
The counter ticking down represents the amount of ticks left before the warrior's protections have been broken down, allowing the Scyphozoa to do whatever it wants. (20 ticks = 1 second)
Right-clicking the window will automatically open the Virtual Map to focus on the grabbed warrior and send you a message in the chat telling you the name of the victim and the time left in minutes and seconds.