"For the wages of sin is death, but the gift of God is eternal life in Christ Jesus our Lord."(Romans 6:23)

Eternal life, or everlasting life, is more than living forever. Eternal life is spending eternity in the presences of the living God. The Greek word "aionios" is usually translated as eternal or everlasting in the New Testament. (From this word we get our English word "eon.") "Zoe" is one of several Greek words that are translated life.
According to Vine's Dictionary, zoe means "life as a principle, life in the absolute sense, life as God has it. Eternal life is the present actual possession of the believer because of his relationship with Christ"
"In the Word of God eternal life is  gift given from the Father to those that are faithful and trust and obey his holly word. The word `eternal' draws attention to the quality of that life, not to its duration in a temporal sense. Thus eternal life can be experienced by believers even while subject to the temporal conditions of earthly life. Translators should be careful to avoid expressions which mean no more than a timeless continuation of life after death."



Sin places a border between us and our heavenly Father, sin can a separation between and our heavenly Father.  The Word of God tells us that God will not dwell where sin is.  Eternal death is opposite of Eternal life. Unforgiven sin will only lead to eternal separation from God which is death.  But wait there is more, if you will confess your sins he is quick to forgive you, so as Christ said it is not his nor his Father for any man to perish