According to this website, eternal life is referring to the nature and quality of life, not the length of life. After all, Jesus defined eternal life as knowing the one true God and knowing Jesus Christ whom He has sent. (John 17:3)
Eternal life is about knowing Jesus as our true identity. It is not about going to a place after we die.
More than half the times when the adjective aeonian is used in the New Testament, it is associated with the word life. It describes the life that Jesus came to bring. Whoever believes in the Son has aeonianlife (John 3: 36). Whoever hears my word and believes him who sent me has aeonian life and will not be condemned; he has crossed over from death to life (John 5: 24). Jesus came to bring aeonian life.
The emphasis of the word aeonian is not on the length of this life, but on its nature and quality. Quite simply there are two kinds of life. The old covenant places its main emphasis on natural, physical life. Honour your father and your mother, that your days may be prolonged in the land which the Lord your God gives you. Prolonged physical life was the best the old covenant could offer. Jesus came to give spiritual life. This was and is life on a totally new and higher plane. Physical life is visible and temporary and destructible. Spiritual life is unseen and permanent and indestructible. All this is implied in the word aeonian.
Whoever believes in the Son has aeonian life (John 3: 36) In this and many other verses, we find not the future tense, but the present. Not will have aeonian life, but has aeonian life. Aeonian life is not an infinitely prolonged extension of this life after we die. It is a new, spiritual life which we receive from Jesus when we receive him.
I think “The Hidden Aeonian Realm” is a good bible study website that sheds light on oft-misuderstood passages in the Bible, clarifying the Hebrew and Greek meanings of ‘everlasting’.
“The word aeonian, normally translated eternal in our Bibles, relates to the nature of the fire, destruction, judgment or punishment, rather than to its duration. It speaks of things that are heavenly, spiritual and invisible, rather than the earthly visible counterparts of these things that we see with our natural sight.”
I think having a good understanding of the spiritual nature of the fire, coupled with an understanding of the destruction of the Jerusalem temple in AD70 (described as gehenna) will help clear up the false hell doctrine too. 🙂