I can find questions about zombies but none that directly addresses what they are and why and how they occur. There are a couple that address what zombie processes are in th
Zombie processes and zombie objects are totally unrelated. Zombie processes are when a parent starts a child process and the child process ends, but the parent doesn't pick up the child's exit code. The process object has to stay around until this happens - it consumes no resources and is dead, but it still exists - hence, 'zombie'.
Zombie objects are a debugging feature of Cocoa / CoreFoundation to help you catch memory errors - normally when an object's refcount drops to zero it's freed immediately, but that makes debugging difficult. Instead, if zombie objects are enabled, the object's memory isn't instantly freed, it's just marked as a zombie, and any further attempts to use it will be logged and you can track down where in the code the object was used past its lifetime.
EXEC_BAD_ACCESS is your run-of-the-mill "You used a bad pointer" exception, like if I did:
(*(0x42)) = 5;
When a process ends, much of its state still exists in the kernel, because its parent may still want to look at a few things, like its return value, which needs to be stored someplace. When a parent calls wait() or waitpid(), it tells the kernel to throw it all away because it's done with it. Until it does so, the child retains a pid and uses up resources. Those un-reaped child processes are called zombies. Even killing a zombie won't remove it, it must be reaped (wait-ed-upon) by its parent. If the parent dies, they are passed to "init" on unix systems, whose sole job is to wait for things to clean them up.
I've never heard of "zombie objects", but I assume that it refers to things that have either not been cleaned up by the garbage collector, or that have circular references or some such thing, such that they are not going to be cleaned up by the garbage collector. The metaphor is pretty similar: fork()==malloc(), wait()==free() at a certain level. (Not a perfect metaphor, of course.)