Adam and Eve is the nickname that Locke gave for two bodies discovered by Jack and Kate in the cave. On these bodies, Jack found a small bag containing one white and one black rock. CUSE: The answer to that question goes to the nature of the timeline of the Island. We don't want to say too much about it, but there are a couple Easter eggs embedded in "Not in Portland", one of which is an anagram that actually sheds some light on the skeletons and hints at a larger mythological mystery that will start to unfold later in the season.
LINDELOF: There were certain things we knew from the very beginning. Independent of ever knowing when the end was going to be, we knew what it was going to be, and we wanted to start setting it up as early as season 1, or else people would think that we were making it up as we were going along. So the skeletons are the living—or, I guess, slowly decomposing—proof of that. When all is said and done, people are going to point to the skeletons and say, "That is proof that from the very beginning, they always knew that they were going to do this."
The anagram is confirmed as lost time. There are two sides one white and one black. I was thinking that the two bodies are actually Ben & Widmore. The two sides playing each other in their chess style game are Ben & Widmore who are possible already dead and playing for immortality. Richard like Ben and Charlie is dead but still there. Highlighted by Ben using the; you do remember birthdays don’t you line. Jack finds them as the Island doesn’t operate in any particular time but is the intersection of all that is past present and future. It is the navel of the world so Ben & Widmore can be present while their skeletons are still there. Purgatory it is not we know but that doesn’t mean it can’t relate to the dead in a form. They allude to it being Widmores destiny to be there. Also we only have jacks word that they are not both male skeletons which Locke hints they could be and we know that Locke has an affinity with the island.
LINDELOF:what the hatch was there for, and what this electromagnetic energy that the hatch is trying to contain is and what would be the effect of that hatch going away, otherwise known as the purple sky event. And it was sort of those conversations which obviously happened way back in season one when Locke and Boone found the hatch that were the early precursors of time travel. I will say, though, that the first significant event in the show where we were thinking in the back of our minds that this is going to require a story telling element that isn't traditional narrative, is the discovery of Adam and Eve in the caves."
Could the hatch and inputting of numbers relate to the lost souls who have died? The high electromagnetism could be protecting the souls whose whispers we here on the island. Maybe the game of chess between Widmore & Ben relates to these souls we here and the protection the island provided them. The eye of the island that Locke describes as beautiful could be the acknowledgement of this. Could explain all the appearances of the apparitions of those related to our characters that are dead? These souls like Jacob could be trapped between time. They may not be dead but trapped in another timeline; they may all be time jumpers that are dead in one world but not the other as they have their constants. They can still be saved. After all only fools are enslaved in time and space it says in room 23. Maybe all these people learned as Ben has not to be trapped. Someone though has trapped them and someone is trying to release them. That is why we see Christian shepherd telling Vincent to wake jack up as he has work to do. Jack later realizing that he can save his father has to go back. When he says in that flash-forward about waking his father up he may be alluding to something more sinister than being sarcastic about him being dead, Hurley has stated that he wants us to go back and Charlie tells Hurley that THEY need him. Charlie is referring to a group that could be just the losties but may be more. The island wont let michael die but may take Ben & Widmores life for interfering in the destiny of the universe by altering it for their own needs. Widmore for financial gain, Ben so that he may live there forever and solve the pregnancy crisis so that his offspring may inhabit and rule the island for generations to come ensuring its protection.