Fused relative 'where'

A relative word such as 'what' is called a "fused" relative word, because it has its antecedent fused into itself.

So, in

(1) This is what I live for.

'what' means the thing which or the thing that, where the thing is the antecedent that is fused into what.

Now, let me ask about these sentences:

(2) This is where I live.

(3) Stay where I live.

In both (2) and (3), I think where is a relative word, because the verb live requires a complement such as where so where I live has to be a relative clause. Now, the relative clause doesn't have any antecedent, hence the fused relative word where.

In (2), I think where means the place where or the place that, where I think the place is the antecedent that is fused into where. Right?

Then, what about (3)? I think (3)'s where means in the place where or in the place that. Then is in the place the antecedent that is fused into where?