When the JLS says that some event X in thread A establishes a happens before relationship with event Y in thread B, it does not mean that X will happen before Y.
It means that IF X happens before Y, then both threads will agree that X happened before Y. That is to say, both threads will see the program's memory in a state that is consistent with X happening before Y.
It's all about memory. Threads communicate through shared memory, but when there are multiple CPUs in a system, all trying to access the same memory system, then the memory system becomes a bottleneck. Therefore, the CPUs in a typical multi-CPU computer are allowed to delay, re-order, and cache memory operations in order to speed things up.
That works great when threads are not interacting with one another, but it causes problems when they actually do want to interact: If thread A stores a value into an ordinary variable, Java makes no guarantee about when (or even if) thread B will see the value change.
In order to overcome that problem when it's important, Java gives you certain means of synchronizing threads. That is, getting the threads to agree on the state of the program's memory. The volatile keyword and the synchronized keyword are two means of establishing synchronization between threads.
I think the reason they called it "happens before" is to emphasize the transitive nature of the relationship: If you can prove that A happens before B, and you can prove that B happens before C, then according to the rules specified in the JLS, you have proved that A happens before C.
