Hell is the negation of fellowship with God
I first encountered J.I. Packer when my Sunday School teacher gave his book Knowing God as a prize for getting the highest score in our exams.
James Innell Packer is a British-born Canadian Christian theologian in the low church Anglican tradition. He currently serves as the Board of Governors' Professor of Theology at Regent College in Vancouver, British Columbia. He is considered one of the most influential evangelicals in North America.
I believe that Packer's take on hell as:
"The negation of fellowship with the Lord. The negation of pleasure. The negation of any form of contentment."