I assume that you're running apache as your web server.
When a request comes in, apache starts a new thread. PHP is then invoked on this new thread, hence why you get a new process id every time.
This is, of course, greatly simplified.
I recommend reading this article for a deeper understanding.
Edit: It seems that the process differs between platforms. It works the way I described above on Windows, but multiple apache processes are executed on Unix.
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