How is "the world" not everyone? But, if you look at the context of the entire passage of Acts 17:30-31 then you can see he was talking about everyone being judged on the same day.
Acts 17:30 In the past God overlooked such ignorance, but now he commands all people everywhere to repent. 31 For he has set a day when he will judge the world with justice by the man he has appointed. He has given proof of this to everyone by raising him from the dead.”
This passage is talking about how God commands "all people everywhere" to repent and the reason for that is because God has set a singular day in which He will judge "the world". So, Paul is referring to "the world" in the same context as he referred to "all people everywhere". And then he said "He has given proof of this to EVERYONE by raising him from the dead". So, Paul used the phrase "all people everywhere" and "everyone" in the same context as "the world" in this passage. You can deny that he was talking about everyone all you want, but the context shows that he was talking about everyone being judged at the same time. Which is exactly what we see portrayed in passages like Matthew 13:40-43, Matthew 13:47-50 and Matthew 25:31-46.
So even the dead, or all alive at the time? He said the world, because the world at that time will be judged, not the world of every day of the last 5991 years.
That verse can also refer to the Cross. Because all the sins of all time was judged in Christ at that point. You do not seem to be using that interpretation. Even that calls for the whole context of the chapter. After the judgment, God indeed rose Jesus from the dead, after paying the price of that judgment.
If all of Adam's flesh and blood was judged on the Cross, no other judgment would be necessary. That was Paul's point about Adam causing sin to enter the world, and Christ the second Adam being the removal of that sin, thus declaring righteousness. So the redeemed in Christ were removed from any future judgment, thus your future day still does not include all, because it cannot include the redeemed. So the only day all would ever be judged in one single event was the Cross. If all had recieved that gift of righteous, then there would be none to ever be judged again. Billions have rejected the Atonement. So does your future day only happen at the GWT when all are dead, and no one still alive? Because I would agree the dead outside of Christ only have one future day of judgment and it is not at the Second Coming. They have to keep putting off that judgment.
Only the living are destroyed at the Second Coming and not even all instantly and equally. If you call that a judgement because of Revelation 11:14
"And the nations were angry, and thy wrath is come, and the time of the dead, that they should be judged, and that thou shouldest give reward unto thy servants the prophets, and to the saints, and them that fear thy name, small and great; and shouldest destroy them which destroy the earth."
John was pulling text from Psalm 2:1-5
"Why do the heathen rage, and the people imagine a vain thing? The kings of the earth set themselves, and the rulers take counsel together, against the Lord, and
against his anointed, saying, Let us break their bands asunder, and cast away their cords from us. He that sitteth in the heavens shall laugh: the Lord shall have them in derision. Then shall he speak unto them in his wrath, and vex them in his sore displeasure."
Who is being judged according to comparing Scripture with Scripture? David was talking about a future day, because the Nations were raging against Jesus Christ (the anointed). The 7th Trumpet is that day. The dead are not those in sheol. Can those in sheol repent? The dead are those remaining on earth after the final harvest of the 6 Trumpets and 7 Thunders. As Acts 17 declares; all on earth (everywhere); all who are left to physically die. So the world at the time of the 7th Trumpet is "judged", but those in sheol are not part of the world. No one has declared a resurrection. This sounding (the 7th Trumpet) is the confirmation of the Atonement Covenant. Daniel 9:27 The judgment of the Cross being declared finished and complete. The only ones left to do anything about it are those physically alive. Those who have died in the last 5991 years cannot change their minds, can they? They already made a decision. That is why they are in sheol or why they are in Paradise. This "judgment" is the 42 months of utter desolation given to Satan, the FP, and the beast. If not that judgment, then the winepress, Revelation 14:8-20.
After Paul mentioned the resurrection, he was interrupted, and never finished any explanations.
"And when they heard of the resurrection of the dead, some mocked: and others said, We will hear thee again of this matter."
The only ability that allows any one to repent was the Cross and God's Atonement. And there was repentance way before the Law and the first century looking to the Cross, as well as we today looking back at the Cross. But only those physically alive still have the ability to repent.
"He hath appointed a day"
That could mean any day in history. Paul did not say, "He has a future day appointed" Paul did not even say, "There has already been a day appointed." How can there be any other day besides the Cross where all were equally judged? The judgment from God's perspective that happened before creation, but would still be just one physical day in human history.