I realized something. Santa Clause is a time lord.
His sack is bigger on the inside.
If he doesn’t time travel, how else does he travel across he world in one night?
He dresses weird and no one actually sees him.
Think about it.
Let us not forget that Nine knows Rose got a Red Bicycle when she was 12 and that Amelia was praying to santa when the Doctor crashed through into her garden shed.