Upvote:1
You don't specifically identify a denomination perspective, but in a comment you reference Scott Hahn (a Catholic). I will likewise take a Catholic perspective.
Ultimately, nothing can happen to the Trinity based on those verses. God is immutable (Summa Ia Q9 A1) and thus the Divine Essence cannot change, nor can an additional Procession (Person) occur. There are exactly 3 Persons in the Trinity (Summa 1a Q30 A2) and nothing created can be taken up into it to become another Person.
"God in His deepest mystery is not a solitude, but a family, since He has in Himself Fatherhood, Son-ship and the essence of family, which is love." - Scott Hahn
The traditional understanding of this is somewhat more metaphorical than you seem to be interpreting it. We can call it a family because there is true paternity (fatherhood) and true filiation (sonship), but there is no marriage and no maternity. Love is the double-procession of the Father and the Son as the Holy Spirit.
Upvote:7
No, at least in the context of mainstream Nicene (including Protestant, Catholic and Orthodox) I don't think there is any teaching about this. The reason being simple: it is a non issue. The very idea of this is not based on a classic understanding of the Trinity at all and therefore is not a problem for normal Trinatarian theology.
The basic idea here is that God is ONE being. Never mind the person aspect of his nature for the moment, that is irrelevant to the difficulty you are posing. You have one being, then a separate entity and a relation between them. The one being (esp when that being is God!) doesn't fundamentally change in nature based on the state of relationships with other beings. It is what it is.
Now you can throw the three persons of the Trinity back in the equation, but nothing changes. They are still God and God still has a relationship with his chosen people, his bride.