@Witchdoc, your OP made reminded me about the TV series The Good Place. Have you watched it? If you haven’t, you should. It’s a very fascinating show about a group of characters who try to get into the show’s version of heaven, and interweaves various different philosophies and ethical systems into the story line. However, the show’s creators also consciously avoided any mention of God or concepts of heaven from any religion. So it’s a vision of what it feels like for humans to reach heaven by “natural” instead of “supernatural” means. As a Christian who does believe in heaven but in a different sense, the show was very illuminating in highlighting the differences.
(Beware that there are spoilers to the show in the next paragraph!)
Basically, by the fourth season the main characters finally successfully reach The Good Place where they are given everything they could ever want - all foods, pleasures, sights, hobbies, activities, and means of self-improvement, as well as unlimited time and perfect health. This is thus very close to the vision of a “natural heaven” that might some day be achievable via human technology. However, the characters discover that other denizens of The Good Place who have lived there for a long time have become bored, depressed, and forgetful because of how monotonous and repetitive their existence is. The show plays on the old trope that “to be human is to struggle and know that life is short” - those in the Good Place no longer have any fear of failure or death, so they actually decay as human beings. In the end, the main characters convince the administrators of The Good Place to institute a system where once a person feels “ready”, having tried all the pleasures and activities they wanted, they are free to step into a portal where they can cease to exist, like a “wave returning back to the ocean”. (Here we see the influence of Buddhist philosophy.) That is how the show ends - with all the main characters walking into the portal, their story finished.
To me, the show illustrates how even if technology eventually manages to fulfill all our natural desires - perfect health, unlimited pleasures, even unlimited self-improvement and immortality - none of this will bring lasting satisfaction. Eventually we exhaust our capacity to enjoy natural things, and the logical move is to erase our own existence, as The Good Place argues. But to me, this is absurd! It seems like a contradiction - the true goal of existence is to eventually not exist. Then why bother going through all the suffering and pleasure in the first place?
In the Christian story, this is where God and supernatural heaven come in. The true Christian idea of the supernatural is not just a fulfilment of natural desires. Instead, the supernatural, by its very nature, is unlimited and final - it gives a lasting joy and bliss that never exhausts, because its source is something unlimited - God Himself, the source and sustainer of all existence. The supernatural is also indescribable using natural creaturely language - I cannot demonstrate to you what exactly the Christian heaven is going to be like, nor how it is going to solve the problems of natural heaven. I cannot persuade you that it actually exists or is possible. It is necessarily an apophatic concept, something we can only glimpse at through negation of natural concepts. It is something that we, as divine image bearers, have a distinct longing for - as C. S. Lewis said, “If we find ourselves with a desire that nothing in this world can satisfy, the most probable explanation is that we were made for another world.” Yet paradoxically it is also something that we cannot achieve or even conceptualize using our own efforts, because if it did, then we would not be satisfied with it.
That is what differentiates the Christian heaven from the natural one. The supernatural is not about magical powers or superior technology. It is about going beyond, communing with the fundamental ground of existence and source of goodness Himself. That longing for the beyond is something that I honestly cannot extinguish or disregard in myself, and is probably near the core of why I am a Christian.