Does eternal hell exist? The question really should be, "Is your time better served trying to refute it, or asking to avoid it?"
The Bible says that hell is a real place--not a state of mind.
The Angel prophesying to Daniel said it was a real place.
Da 12:2 - And many of those who sleep in the dust of the earth shall awake, Some to everlasting life, Some to shame and everlasting contempt.
God revealed it to Isaiah that is a real place.
Isa 66:24 - “And they shall go forth and look Upon the corpses of the men Who have transgressed against Me. For their worm does not die, And their fire is not quenched. They shall be an abhorrence to all flesh.”
Jesus confirmed God's prophetic word to Isaiah three times...
Mr 9:44 “where ‘Their worm does not die, And the fire is not quenched.’
Mr 9:46 “where ‘Their worm does not die, And the fire is not quenched.’
Mr 9:48 “where ‘Their worm does not die, And the fire is not quenched.’
...and described it as a dimension of darkness.
Matt 25:30 "...cast the unprofitable servant into the outer darkness. There will be weeping and gnashing of teeth."
Jude spoke of it.
Jude 7 - suffering the vengeance of eternal fire.
And John in Revelation also described heaven in detail.
Re 20:10&15 - And anyone not found written in the Book of Life was cast into the lake of fire...and they will be tormented day and night forever and ever.
I would not bet my eternity on man made philosophies and against the Word of God.