I'm not sure if you understand what you're asking about.
The way an FPS game operates is, it paints the screen, does keyboard/mouse/etc handling and game logic, then it paints the screen again. In a tight loop.
The faster it can paint the screen (this is mainly a matter of your graphics adapter) and the faster it can get its logic busywork done, the faster the frame rate will be. Because that's literally all that's happening.
The frame rate doesn't slow processing down, it's the other way around. If you put pauses between screen paints, you'd be running your CPU a bit cooler but not accomplishing anything else.
Stated differently: Frame rate is an effect, not a cause. Your PC spends every spare microsecond doing screen updates because it has nothing better to do.
When you see lag, that's your PC being really bogged down with massive memory moves, disk reads, screen calculation (think 1000 enemies flying at you) or choking on Internet delays. Lag is not caused by screen repaints.
UPDATE:
I have trouble believing what you're saying, but I'm just the answer man here. If you really want to lower your frame rate, give your CPU(s) something to do. Run a Linux kernel compile. No wait, gamez = Windowz. Pull up Calc.exe and ask the scientific mode for the factorial of a large number. See what happens. If frame rate doesn't drop, do it with 2 or 3 instances of Calc in parallel.