People were created to exist forever.  We will either exit eternally separated from God by sin, or eternally with God through forgiveness and salvation.  To be eternally separated from God is Hell.  To be eternally in union with Him is eternal life.  Heaven and Hell are literal places of eternal existence.

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John 3:16 

John 14: 17

Romans 6:23

Romans 8:17,18

  Revelation 20:15

      1 Corinthians 2: 7,9