Begetting ( present participle of the verb "beget") - To procreate an offspring. To beget is to make someone have one's nature.
The purpose of begetting is to pass on genome ( whole nature) to the offspring.
Elements of Divine Begetting
1) Male ( John 1:14,18)
2) Womb ( Ps. 110:3, John 1:18)
53) Divine nature (John 1:1,18)
Elements of Human Begetting
5) Human nature (genome)
As we can clearly see, the divine begetting is an inscrutable mystery because there is no Biblical information about How the Father produced the Son.
Anyway, the 'how' of the divine begetting is not what's important but rather, what's important is its essence (the meaning it conveys) which is co-equality of the Father and the Son in one nature.
The Scriptures only speaks of an analogy from psychology in regards to the Son's begetting from the Father.
Word from Mind ( Psalm 45:1, John 1:1,14,18).
Wisdom from Mind ( Proverbs 8:22, John 1:1,14,18).
The Mind of God the Father eternally exists as rational and wise.Therefore, the Son of God the Father eternally exists.
Only begotten from the Father (Psalm 109:3, John 1:14).
The psychological analogy fails to explain how the Son ( a person) is produced by the Father ( a person). The psychological analogy only shows that the production is necessary and eternally exists.In fact, this analogy has its own inscrutable mystery too because we do not know How God produced both Word and Wisdom from His mind without a beginning of its existence.
Produced not from nothing but from the Father
Word = produced ( Ps. 45:1 LXX)
Wisdom = produced ( Prov. 8:22 LXX)
Son = produced ( John 1:14)
Eternal ( Without beginning or ending)
Word = eternal ( John 1:1)
Wisdom = eternal ( 1 Timothy 1:17)
Son = eternal ( Micah 5:2, John 1:1,18, Colossians 2:9)
The Scriptures do not reveal how these were produced. The fact that these are eternally existent and simultaneously productions of God, is a mind blowing reality.
If any one, therefore, says to us, How then was the Son produced by
the Father? we reply to him, that no man understands that production,
or generation, or calling, or revelation, or by whatever name one may
describe His generation, which is in fact altogether indescribable.
Neither Valentinus, nor Marcion, nor Saturninus, nor Basilides, nor
angels, nor archangels, nor principalities, nor powers [possess this
knowledge], but the Father only who begot, and the Son who was
begotten (Against Heresies 2.28.6)