“[…] You will be remembered no more, for I myself, Jehovah, have spoken.”
~Ezekiel 21:32

The Bible says Jehovah God has been writing the names of faithful ones in the “Book of Life” since the beginning of mankind, so to speak. (Rev. 17:8)
Various prophets including Moses, David, Malachi, John (the Apostle), Paul and Jesus himself made reference to this symbolic book. (Ex. 32:32,33; Ps. 69:28; Mal. 3:16; Luke 10:20; Php. 4:3; Rev. 3:5)
If our choices reflect a healthy fear of God, even if we die, he will keep us alive in his memory until the time of the resurrection. (Luke 20:37,38; John 5:28,29)
On the contrary, how sad it would be to die without any hope of returning to life because we have offended God to the point that he has completely wiped us out of his memory.