"Scientific" and "logical" proof for the existence of heaven and hell. I see what you did there. :D
Anyhow, my understanding of the whole topic would rightfully be called either non-proof or circular logic of the same effect.
So, let's just think about it. There's this guy right. Or gal or entity or several- whatever. Otherwise known as God. We're created as imperfect beings who are best at stealing, killing, lying, conniving... I could go on. Apparently there's a place (depending on your belief) where those who (again according to belief) manage to overcome this vile nature or otherwise "be righteous" get to go. It's pretty nice they say. Conversely, there's this other place (again depending on belief) where those who kinda don't "rise up above and beyond" or otherwise just treat others horribly and miserably, just constantly (again it all depends on belief) have to go. It's not that fun there.
You can be the most vile, hateful, cruel, above all laziest person you can imagine... you still (or rather simply) would want something better. So. If you're a person like that. And if you're told the way to... get more of what you want to satisfy your own desires... is simple and irrefutable. You'd... obviously do so ie. "go through the motions" to get what you want.
If there is this "afterlife place" that is good... you do NOT want those people there. Faith in what you know to be right, yet is difficult, while at the same time you can see with no real contradiction that being vile continues to consistently offer greater pleasures and riches, is what will separate the two. The only thing. Short of total and utter enslavement. So. Eh. You don't even have to be religious or metaphysical about it. It's common sense.
Example I use often, say you're a dying, old, childless multi-millionaire who has always loved.... I don't know pick any hobby the metaphor is the same. Sailing, boats, the ocean, etc. You have a massive and pricey boatyard full of top of the line vessels and everything someone who is passionate about your interest would adore endlessly. Say you also bought a cheaper, somewhat crappy one that is decent enough to someone who again shares your passion... maybe has a few old ships and one that's just okay.
What you do to find someone who shares in your interest and will keep the legacy going? Put out an ad saying "luxurious, exquisite yacht-keeper wanted. high pay." and see how he performs under perfect conditions? Or... put out an ad saying "run down boat yard keeper wanted. legacy of blood, sweat, and tears. must love the seas." and see how someone who must truly love the art (more than the monetary benefits it could bring) performs? The two would be rewarded with the same, that priceless lifetime of work. Only one would have truly earned it and would appreciate it the same.