Jesus gave the keys of the Kingdom. To Peter, Peter retained possession of the keys throughout his life. He never relinquished or lost the keys. Only when he was martyred would, he have laid on hands and transferred his personal authority.
Tragically. Exactly that occured in Rome in 64 AD. Only then did Peter Transfer, the mantle of his authority to a successor. Linus.
Peter never gave the keys to the Bishop in Antioch Because. Peter was always still alive whenever he was in Antioch. He didn't "leave or forget" the keys to the Kingdom in Antioch in 48 AD When he moved on to Rome. As he was still alive, he didn't give the keys to Saint Evodius Who therefore didn't give them to Saint Ignatius and so on.
But when he was tragically martyred in Rome in 64. AD he didn't take the keys with him into the next life. Surely they were bequeathed to Saint Linus.
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During the days of the judges. "Everyone did what was right in their own eyes because there was no King over Israel." In the days of the judges Israel was a Confederacy.
King David created a federal government with a singular authority over all of the tribes.
Is the church of Jesus Christ the Messiah a confederacy or a federacy? Is it more like the judges? Or, more like the Davidic Kingdom?
The Church of Christ is actually not merely like the Davidic Kingdom - it's both. It's like the Judges of Israel, where God is the King - as remember, the Kingdom of Israel having a human king was a punishment for Israel's desires of wordliness, which God makes clear in His discussions with Samuel. (1 Samuel 8).
But more than that, the Successor to David is Christ, biologically descending from David and being it's permanent King.
This actually makes more sense with Christ fulfilling the Davidic Kingdom - considering that Christ is descended from the Root of Jesse, how does it make sense that Peter is the successor of David and not Christ, being the permanent David?
Going off the fact that you claim that the foundation of the Church is exclusive to Peter and Peter exclusively holds the keys, how do you respond to the fact that Saint John Chrysostom says that Saint John the Apostle is the pillar of the Church throughout the world and has the keys to the Kingdom of Heaven?
"For the son of thunder, the beloved of Christ,
the pillar of the Churches throughout the world, who holds the keys of heaven, who drank the cup of Christ, and was baptized with His baptism, who lay upon his Master’s bosom with much confidence, this man comes forward to us now; not as an actor of a play, not hiding his head with a mask...
Seeing then it is no longer the fisherman the son of Zebedee, but He who knoweth “the deep things of God” (
1 Cor. ii. 10 ), the Holy Spirit I mean, that striketh this lyre, let us hearken accordingly. For he will say nothing to us as a man, but what he saith, he will say from the depths of the Spirit, from those secret things which before they came to pass the very Angels knew not; since they too have learned by the voice of John with us, and by us, the things which we know."
Source:
NPNF1-14. Saint Chrysostom: Homilies on the Gospel of St. John and the Epistle to the Hebrews - Christian Classics Ethereal Library