Comment by gpderetta

The stack offset (or in general memory location address[1]) has a name (its unique address), exactly like an architectural register, how can it be an hidden register?

In any case, as far as I know the feature is known as Memory Renaming, and it was discussed in Accademia decades before it showed in actual consumer CPUs. It uses the renaming hardware and it behaves more like renaming (0 latency movs resolved at rename time, in the front end) than an actual cache (that involves an AGI unit and a load unit and it is resolved in the execution stages, in the OoO backend) .

[1] more precisely, the feature seems to use address expressions to name the stack slots, instead of actual addresses, although it can handle offset changes after push/pop/call/ret, probably thanks to the Stack Engine that canonicalizes the offsets at the decode stage.