Inducing segmentation faults is literally how the kernel implements memory mapping, and virtual memory in general, by the way. From the CPU's perspective, that page is unmapped. The kernel gets its equivalent of a SIGSEGV signal (which is a "page fault"=SIGSEGV "interrupt"=signal), checks its own private tables, decides the page is currently on disk, schedules it to be read from disk, does other stuff in the meantime, and when the page has finished being read from disk, it returns from the interrupt.
(It does get even deeper than that: from the CPU's perspective, the interrupt is very brief, just long enough to take note that it happened and avoid switching back to the thread that page-faulted. The rest of the stuff I mentioned, although logically an "interrupt" from the application's perspective, happens with the CPU's "am I handling an interrupt?" flag set to false. This is equivalent to writing a signal handler that sets a flag saying the thread is blocked, edits its own return address so it will return to the scheduler instead of the interrupted code, then calls sigreturn to exit the signal handler.)
(It does get even deeper than that: from the CPU's perspective, the interrupt is very brief, just long enough to take note that it happened and avoid switching back to the thread that page-faulted. The rest of the stuff I mentioned, although logically an "interrupt" from the application's perspective, happens with the CPU's "am I handling an interrupt?" flag set to false. This is equivalent to writing a signal handler that sets a flag saying the thread is blocked, edits its own return address so it will return to the scheduler instead of the interrupted code, then calls sigreturn to exit the signal handler.)