The reason the rich man's name was not mentioned because he was not a child of God, his name was not written down in exchange Lazarus name was. Some examples of this can be found for example in the book of Mt. 7:23 where it is referring to judgment day and he says to the unsaved I never knew you. Likewise In 2Tim. 2:19 and Jn. 10:14 we have the reference that God knew these certain individuals and if he knew them he knew by their name.
The rich-man and the beggar Lazarus is a prophecy for the remnant of the 12 tribes that are left in blindness. When Jesus went to the grave He went to hell like Jonah did as He was awake the whole time. When the trumps start sounding there is 3 1/2 years until the return and during that time the 144,000 are sealed and on the day of the resurrection which starts right after the 7 vials are poured. The man was a member of the temple and the ones that die during that time enter the grave so rather than let them sleep Jesus has the keys to hell so they can be sent there until the day of their resurrection back to life. I assume this verse provides a strong enough connection.
Lu:16:27-31:
Then he said,
I pray thee therefore,
father,
that thou wouldest send him to my father's house:
For I have five brethren;
that he may testify unto them,
lest they also come into this place of torment.
Abraham saith unto him,
They have Moses and the prophets;
let them hear them.
And he said,
Nay,
father
Abraham:
but if one went unto them from the dead,
they will repent.
And he said unto him,
If they hear not Moses and the prophets,
neither will they be persuaded,
though one rose from the dead.
If all of the verses refer to torment then why is God referring to torment in vs 25 as sorrow and how does sorrow relate to torment ?
This is what happens to the Gentiles that die on the day of His return because they are sinners. This is what they experience during that whole period of time.
Isa:65:12:
Therefore will I number you to the sword,
and ye shall all bow down to the slaughter:
because when I called,
ye did not answer;
when I spake,
ye did not hear;
but did evil before mine eyes,
and did choose that wherein I delighted not.
Therefore thus saith the Lord GOD,
Behold,
my servants shall eat,
but ye shall be hungry:
behold,
my servants shall drink,
but ye shall be thirsty:
behold,
my servants shall rejoice,
but ye shall be ashamed:
Behold,
my servants shall sing for joy of heart,
but ye shall cry for sorrow of heart,
and shall howl for vexation of spirit.
As far as eternal punishment is concerned it is eternal, it is not just for a little while. Jud. 1:7
All of Jude is about fallen angels rather than fallen men. These cover man's time in the grave, for everybody.
Job:14:12-17:
So man lieth down,
and riseth not:
till the heavens be no more,
they shall not awake,
nor be raised out of their sleep.
O that thou wouldest hide me in the grave,
that thou wouldest keep me secret,
until thy wrath be past,
that thou wouldest appoint me a set time,
and remember me!
If a man die, shall he live again?
all the days of my appointed time will I wait, till my change come.
Thou shalt call,
and I will answer thee:
thou wilt have a desire to the work of thine hands.
For now thou numberest my steps:
dost thou not watch over my sin?
My transgression is sealed up in a bag,
and thou sewest up mine iniquity.
As far as the scripture you provided it has to be understood figuratively in that the judgment that is happening to them is eternal, there are many verses that show once the unsaved die they are dead they are not experience judgment. They have no rest because they do not have Christ, they have never truly become saved, they do not have eternal life.
Really?
M't:25:41:
Then shall he say also unto them on the left hand,
Depart from me,
ye cursed,
into everlasting fire,
prepared for the devil and his angels:
All fallen angels on the earth were put into the Pit during the flood by 10,000 holy angels. Enoch provides the prophecy and Moses provides the confirmation that is is an historical event.
Jude:1:14:
And Enoch also,
the seventh from Adam,
prophesied of these,
saying,
Behold,
the Lord cometh with ten thousands of his saints,
De:33:2:
And he said,
The LORD came from Sinai,
and rose up from Seir unto them;
he shined forth from mount Paran,
and he came with ten thousands of saints:
from his right hand went a fiery law for them.
The Beast from the Pit is allowed out at the start of the 5th trump sounding and he is given 42 months before he is sent to the fiery lake. Satan has not been in the Pit and that is why Jesus chains him up and puts him there. When he is let out for his 'little season' that is just where God sends him and all remaining fallen angels.
The men sent to hell are behind a locked gate and that gate remains locked until it is opened by God at the Great White Throne and they are raised sinless rather than still in sin so they are given a drink of living water and that gives them an immortal body and a sinless heart. All of Isaiah:65 is about the ones called 'the rest;' in Re:20 and they make their homes outside the walls of New Jerusalem as that is the one that exists in the new earth verses.