Different web servers implement different techniques for handling incoming HTTP requests in parallel. A pretty popular technique is using threads — that is, the web server will create/dedicate a single thread for each incoming request. The Apache HTTP web server supports multiple models for handling requests, one of which (called the worker MPM) uses threads. But it supports another concurrency model called the prefork MPM which uses processes — that is, the web server will create/dedicate a single process for each request.

There are also other completely different concurrency models (using Asynchronous sockets and I/O), as well as ones that mix two or even three models together. For the purpose of answering this question, we are only concerned with the two models above, and taking Apache HTTP server as an example.

PHP itself does not respond to the actual HTTP requests — this is the job of the web server. So we configure the web server to forward requests to PHP for processing, then receive the result and send it back to the user. There are multiple ways to chain the web server with PHP. For Apache HTTP Server, the most popular is “mod_php”. This module is actually PHP itself, but compiled as a module for the web server, and so it gets loaded right inside it.

There are other methods for chaining PHP with Apache and other web servers, but mod_php is the most popular one.

You may not have needed to understand these details before, because hosting companies and GNU/Linux distros come with everything prepared for us.