What will happen in the year 6000?

Don't know about that particular year but The Bible prophesies what the future will look like:

(Psalm 37:10, 11) Just a little while longer, and the wicked will be no more; You will look at where they were, And they will not be there. 11 But the meek will possess the earth, And they will find exquisite delight in the abundance of peace.

(Isaiah 65:21-25) They will build houses and live in them, And they will plant vineyards and eat their fruitage. 22 They will not build for someone else to inhabit, Nor will they plant for others to eat. For the days of my people will be like the days of a tree, And the work of their hands my chosen ones will enjoy to the full. 23 They will not toil for nothing, Nor will they bear children for distress, Because they are the offspring made up of those blessed by Jehovah, And their descendants with them. 24 Even before they call out, I will answer; While they are yet speaking, I will hear. 25 The wolf and the lamb will feed together, The lion will eat straw just like the bull, And the serpent’s food will be dust. They will do no harm nor cause any ruin in all my holy mountain,” says Jehovah.

(Acts 24:15) And I have hope toward God, which hope these men also look forward to, that there is going to be a resurrection of both the righteous and the unrighteous.

(Revelation 21:4, 5) And he will wipe out every tear from their eyes, and death will be no more, neither will mourning nor outcry nor pain be anymore. The former things have passed away.” 5 And the One seated on the throne said: “Look! I am making all things new.” Also he says: “Write, for these Words are faithful and true.”