Hi...
I get a fast bluescreen in which I only have enough time to read something like "Dumping physical memory" before the computer craps out on me and reboots.
Usually Bugcheck code F4 is related to bad paging space or hard disk problem. However you have to provide the minidump debug report to provide more detail information. Refer this document
Your problem is not related to bad paging space. They are crashed with exactly the error and it is the symptom of software problem. Do you install any software recently?