FastCGI is a protocol that allows a web server to communicate with external programs that provide dynamic content, such as PHP scripts. In FastCGI, the web server launches an external program, called a FastCGI process manager, which is responsible for starting and managing a pool of long-running PHP processes. When a request for a PHP script comes in, the FastCGI process manager assigns one of these processes to handle the request, and the process generates the dynamic content and sends it back to the web server.
mod_php, on the other hand, is an Apache module that embeds the PHP interpreter directly into the Apache web server. This means that PHP scripts are executed directly within the Apache process, without the need for an external process manager.
While both FastCGI and mod_php are ways of running PHP on a web server, they differ in their implementation and how they handle requests for PHP scripts.