The scriptures do not directly answer this. But from the scriptures we can find: God cannot deny himself. (2 Timothy 2:13) His holy name signifies that the He is who He is. (Exodus 3:14,15) If God "became flesh", however, such would imply denial of his being the Most High, since human flesh is a little lower than the angels. -- Psalm 8:5: Hebrews 2:7.