I was listening to Fr. Tom Hopko's "Speaking the Truth in Love" on Ancient Faith Radio last night. I am pretty sure it was the episode "Bishops, pt. 13: St. Maximus and the 7th century." If I understood Fr. Tom correctly, he was saying that idea of Bogochelovechestvo or God-manhood is actually not proper Christian teaching. I think his objection had something to do with denying the full humanity and full divinity of Christ.
Can anyone help as to official Orthodox doctrine on this matter and/or potential objections?
Fr. Hopko has spoken on this before in the context of Monophysitism.
His point is that there is Godhood (the Divine Essence) and manhood (the Human Essence) but there is no Godmanhood (divino-human essence). There is certainly the God-Man, though.
If there were a Divino-Human essence, then the properties of the Divinity would inhibit the properties of the Humanity. For an example of this happening, look into the beliefs of the Monophysite Heretic Julian of Halicarnassus, who believed that Christ's flesh was impassible prior to the Resurrection, and could only be damaged if he actively willed the nails to go into his hands, etc. He believed this because he thought that the properties of Christ's humanity (like passibility) were inhibited by virtue of the union with His Divinity.
Rum Orthodox Christians who hold to Chalcedon and Constantinople III believe that the properties and powers of both humanity and divinity are preserved authentic and whole by the one Hypostasis/Subsistent Being of Christ/the Logos.