The standard Christian doctrine of hell is that it is an Eternal Conscious Torment (ECT) for the damned, based on various passages such as Revelation 14:11 [And the smoke of their torment goes up forever and ever, and they have no rest, day or night.].
One alternative belief is annihilationism – those souls will eventually cease existing. Passages used to argue this include Matthew 10:28 [Rather fear him who can destroy both soul and body in gehenna.].
At first glance, the two views seem to me mutually exclusive. One view says the damned exist forevermore, the other says they don’t. But what if BOTH of the above views can be simultaneously be true? Eternal torment of the damned, but also an eventual end to their suffering?
There is a way to make them mutually compatible: TOTALLY NOOB-LEVEL SCI-FI SPECULATION!

It is commonly postulated that time & space began when the Big Bang happened, which is when the material universe as we know it was formed. This would correlate to Genesis 1:1 [In the beginning, God created the heavens and the earth.].
But is there also an event where our current spacetime continuum no longer exists? Note the similar ‘heaven & earth’ terminology in Revelation 21:1 [Then I saw a new heaven and a new earth, for the first heaven and the first earth had passed away]. Remember the Big Crunch, anyone?
When this happens, ‘forever’ as a unit/subset of time also passes away. Note the wording of Revelation 14:11, it doesn’t say that the punishment NEVER ENDS or HAS NO END.
Perhaps the souls of the damned dead are annihilated together with their abode/medium of existence, in Revelation 20:14-15 [Then Death and Hades were thrown into the lake of fire. This is the second death, the lake of fire. And if anyone’s name was not found written in the book of life, he was thrown into the lake of fire.] Assuming that those are part of our current spacetime continuum.
With all their dead loved ones and friends who did not accept Christ no longer suffering, believers who are transported to the new heaven & earth will not need to anguish over them any longer, as per Revelation 21:4 [He will wipe away every tear from their eyes, and death shall be no more, neither shall there be mourning, nor crying, nor pain anymore, for the former things have passed away.]
So here is my syllogism:
1) The damned will suffer conscious torment ‘forever’ (ECT is true);
2) The current spacetime that we exist in has an eventual end – it ceases to exist entirely;
3) Therefore, ‘forever’ as a subset of time also will cease to exist;
4) At which point there is no longer any ‘forever’ for the damned to suffer in (annihilationism CAN BE true without contradicting ECT being true).
This proposition needs a lot more refining especially on the Bible passages and physics angles, but that’s the gist of my idea.
I currently don’t affirm Annihilationism, in large part due to the ECT passages which seem to indicate the damned existing ‘forever’. But if my postulation works, then this is one way I could accept Annihilationism as true.