Let's throw a whole bunch of things together. The multiple-universe theory (though we won't dwell on that), the simulation hypothesis, and eternal recurrence, and mix it all in with a schizoanalytic base. What do we know about the possibilities of technology, really? There doesn't seem to be much reason to believe tech will stop developing (at least, not in every civilisation), even over thousands, millions, billions of years. It looks roughly as constant as every other form in the universe, even if it took a while to come into being.
The simulation hypothesis strikes me as basically correct, but generally irrelevant; thinking works best (for my purposes here) if you pretend you're in Cosmos A, then imagine making new simulations therein. Suppose at some point it was possible to make a perfect, one-for-one map of the universe, using simulations, and then, to backtrace it along probabilistic lines to its origins. I don't know whether you'd get only one origin, or multiple. But even if it took millennia, after time enough you'd definitely be able to exhaust the possible forms of human life, then reproduce all such consciousnesses as simulations. Simulations secure in a technological near-telos, which may well have the means of leaving its universe.
All of this just looks logical to me, but it does kind of seem like what I'm describing is a heaven-like thing (or a hell-like thing, depending what they make). And if that process is possible, then in infinite course, it will happen.
This notion can be arrived at from the armchair and, therefore, it's understandable that so many intelligent people came to be persuaded of the existence of heaven or heaven-adjacencies. It wasn't all wish-fulfilment or hopeful delusion. I think some people really mean it, when they talk about how 'terrifying' eternity is.
Look at all this stuff, and its implication for your identity and what you will or won't do, what the structure of your 'life' is, and the problem of when it will end. A thousand years of life is cosy, but eternity ~is~ terrifying.
There's something more to the popular belief in it, I say, than convenience. It has to do with that Pythagorean intuition I was talking about.
How any of this could hint at the existence of a god, I'm not sure - but I suppose that's just the idea that anything matters. That life has any meaning, really, is a good deal more challenged by infinity than it is by death. Perhaps God is intuited via a conviction in universal order, arrived at not as a first thought, but as a final conclusion after believing in a) eternity; b) oneness; c) moral order.
As respects that, I only have the same intuitive action available to me as Pythagoras had, when learning the Earth was round.
All of that's starting to win me over, though, to the thought that God could exist - even if I have nothing but intuition to suggest that.