Very often I come across the argument that a loving God cannot send a person to hell. And while the usual reply is that people send themselves there, this fact is sometimes seen as irrelevant under the assumption that, once in hell, people will be begging for God to forgive them. But I'm not so sure that such an assumption is correct.
I feel that God must, on account of His good and loving nature and the fulfillment of scripture, forgive any and all who sincerely call upon Him to be saved. There are a myriad of scriptures in the Bible that attest to the fact that the Lord will turn no one away who calls upon Him. And because there are no qualifications attached to such scriptures, I conclude that those who will ultimately stand before God will, at no point, repent of their wickedness.
There is harmony in the scriptures - at no point should two scriptures conflict with one another. It's because of this, for example, that we know that those who blaspheme the Holy Spirit will never actually seek salvation, and that if one does in fact seek salvation, it is proof that said person cannot actually be guilty of committing the unpardonable sin. I believe this same line of reasoning applies to those who die in their sins, as Romans 10:13 does not say, "Whosoever should call upon the name of the Lord, while still alive, shall be saved.".
At no point in the Bible does it indicate that people in judgment will attempt to repent. In fact, the Bible teaches that in the tribulation, even after intense and ongoing suffering the likes of which causes those who suffer to wish they were dead Revelation 9:6, they still will not repent. Revelation 16:11
It's because they cannot repent. All who receive the mark of the Beast are damned. Revelation 14:9-11 There is no salvation for the same reason as when a person blasphemes the Holy Spirit: the Holy Spirit is gone, and can no longer lead them to repentance. 2 Thessalonians 2:7
Seeing as how we live before the rapture, it is hard to imagine the state of a man being so wicked and evil that he wouldn't repent no matter how great his suffering, but the truth is that, until the rapture, the Holy Spirit is in the world convicting men of sin; it is the Holy Spirit which prevents people from sliding all the way into a level of darkness precluding repentance. Once the Holy Spirit leaves this world, having been raptured along with the church, there will be nothing left to prevent the spiral of mankind into the abyss; there will be nothing left to convict mankind of sin. This is why the people of that day will refuse to repent, and no matter how much suffering and fear they endure. Again, I believe this also holds true in the age to come.
Notice how the Bible never suggests that a person in hell, or damned to hell, will attempt to repent. The rich man never repented. He merely asks for water and for his brothers to be warned. The people who come to Jesus on the day of judgment never repent. In fact, they make excuses. And on the day of judgment it is said that the people actually run from God! They want NO PART of the Lord. Revelation 20:11. The Word of God says that there will be weeping and gnashing of teeth. Luke 13:28 The weeping is understandable, though it is not repentance. They are upset because of their own predicament. But the gnashing of teeth? This indicates intense hatred and anger, just as it did when Stephen was stoned. Acts 7:54 The people bound for hell will be sorry for themselves, but will have nothing but utter hatred and murderous contempt in the light of a glorified Jesus. Remember, not only is the Holy Spirit no longer active in these people, but at this point there is nothing good left in them at all. Matthew 13:12
So while it is sometimes hard to understand what a person could do to actually deserve being sent to such a place, remember that right now we don't see the whole picture. 1 Corinthians 13:12 You are thinking of people as they are now, as you see them, rather than what they really are, and what they will become.
I think I remember hearing that in the demonic bible, followers are encouraged to live a life of sin and just repent at the end of it, seeing as God is merciful. I think one would have to be careful not to read into something. The Bible certainly has people who are dead being preached to by Jesus so that he can be the God of the living and dead, but to say we can wait is an obvious ploy. It also says, "preached," as in, not continually. Although it could be said he would give a chance to perhaps the unborn because of this verse, due to maybe instances of justice, it does not explicitly state that and any gamble on salvation is demonic. It's the same case with those that declare "once saved always saved." Furthermore, there is a judgment for all people, even believers. Romans 2 explains this and the example in Revelation speaks of a judgment first of all actions, then an opening of the book of life. It goes on to say in Timothy that we will all stand before the judgment seat, commenting, "Therefore, we know what it means to fear the Lord." Why would this be an example of fear of God if there is no punishment for sin? See: "You will reap what you sow," and literally all of Ezekiel 18.
Remember that people will follow doctrines taught by demons. It seems to me that many of these non-explicitly stated common beliefs that cause a man to feel safe to sin coincide with what our good friends the occult teach people and not a few instances of words I have gotten from demons I've come into contact with. "If I build what I have torn down I prove that I am a lawbreaker." "I have not come to abolish the law but to uphold it." "No one who is born of God will continue to sin." The pattern is very clear. That when Jesus is actually trusted in there is repentance and that repentance turns to a life of the elimination of sin, not the celebration of it.
That being said, "It is appointed for man to die once and then face judgment." Not, "To die once and get another chance to repent." That is something that is explicitly stated. Special case obviously referring to when God left the former deeds unpunished in the day of Noah, not, because we can take and choose what we want in the book, but because the book literally allots it a special case. Although I agree with you in the idea that those without the grace of God in their lives cannot be brought to repentance, or back to it, see Hebrews (and how can one repent without the Spirit?), I do not agree with the idea that if they wanted to at the judgment they could just walk up and have Jesus write their names in the book when it was missing. Not mentioning this and having no answer to if they did is not proof of your suggestion and shouldn't be used to build doctrine just because you feel your question needs an answer. I would also be careful with how you interpret the end. None of that is explicitly stated as well and many, over arguments about it, have maligned people and created unnecessary dissensions and factions, which is sin.
Finally, I find it rather intriguing that you do not understand how someone could sin without remorse in the face of eternal damnation. The assumption is then that you yourself have never given into temptation, but it is the same thing. As Christians, I am certain most of us are aware of what God thinks of something and what He is capable of doing about it. Does that mean we live perfect lives? Does that mean we always agree with God and His actions? I am quite disturbed how easily people can live for themselves, put on a face of strong Christianity, and yet do things so simple as speed every day to work and break a whole bunch of little laws every day in how they treat people, all the while because they don't have a drinking problem, call themselves good and repentant. I make no accusations, of course, but in my honest walk with God there have been plenty of times I've disagreed with Him, and many of my years have been struggling with what He says about all types of sins.
Sin is such that it doesn't care. You love what you love, my friend. You don't all of a sudden become a different person because of what another person, no matter how Holy, declares about your actions or future. Even if you see God, you still have to choose whether you like Him or not. Even if it is clear who He is in the end, will that comfort you with who you must be for eternity? Will that restore your damned nature? Will that change the temptations of your heart? Adam sinned. He sinned knowledgeably, undeceived. It is not about what is true; it is about what is wanted. "The world created by evil desires." Salvation is about what is chosen. There are people that die for a woman, a friend, and for what is right. It is the same devotion as those that die for a lie. That is why it is called a great delusion, not a great deception. The fact is that the future, though good, will not change the past or the present, or who we are. We have to, and we do not have the strength to do so without God's grace; I dodged a bullet because Jesus Christ pushed me out of the way, not because I could suddenly see it coming.