for the Unjust/Nonelect/Unsaved whose names are not written in The Book of Life?
Revelation 21:27
There shall not enter into it any thing defiled, or that worketh abomination or maketh a lie, but they that are written in the book of life of the Lamb
The question of whether Jesus died on the cross for the just/elect/saved whose names are written in the Book of Life is a matter of theological debate. Some Christians believe that Jesus died only for the elect, meaning those who are predestined by God to be saved, while others believe that Jesus died for all people, regardless of their status as elect or non-elect. The debate centers around the interpretation of various biblical passages, such as John 3:16, which states that God so loved the world that he gave his only Son, and Romans 8:28-30, which speaks of those who love God being predestined for conformity to the image of his Son.
Those who believe that Jesus died only for the elect argue that his death was a perfect sacrifice that secured and guaranteed every saving blessing for them. They point to passages such as John 10:11, which speaks of Jesus laying down his life for the sheep, and 2 Timothy 2:10, which speaks of Paul enduring all things for the sake of those who are chosen. They argue that Jesus' death was limited in the sense that he knew for whom he was dying and that his death would ultimately benefit only the elect.
On the other hand, those who believe that Jesus died for all people argue that his death was a perfect sacrifice that can save anyone, but that it only benefits those who believe in Jesus. They point to passages such as Isaiah 53:6, which speaks of the Lord causing the iniquity of us all to fall on him, and 1 John 2:2, which speaks of Jesus being the propitiation for our sins and not just ours, but also for those of the whole world.
In conclusion, the question of whether Jesus died on the cross for the just/elect/saved whose names are written in the Book of Life is a matter of theological debate.
Both sides of the debate have biblical support, and ultimately, the answer may depend on one's interpretation of various passages in the Bible.
J.