If LExAu succeeds it is possible to create a vehicle for the mind: the mind would no longer have to die together with the body.
"Heaven" refers to the goal of the project, not the state of minds that use the supposed end result of the project. The CoreValues behind the project should be compatible with any religion, even the Skeptic. one.
This is the central idea of LExAu. It might seem hard to follow, but this is what the project is all about. The complex interplay of (sub)systems at different levels:
The first autonomous system might be severly limited, e.g., it might have a short term memory of only two symbols or something like that. It would not necessarily be useful. It would just prove the point that it is possible.
By the time we reach this stage it should be complex enough to play Turings emulation game and perform the Turing test.
At this point the results of the project become commercially attractive.
By that time an attached autonomous system would be able to participate in all main functions of the brain. Moreover, because the brain is an autonomous system too, the setup would be symmetrical. Both autonomous systems, one natural and one artificial, would cooperate as a tightly coupled team.
If one of the members of such a hybrid system were to deteriorate slowly, the other member would take over its functions. So the mind of an ageing brain could move to its artificial counterpart.
If a fully developed artificial autonomous system were connected to a blank human brain the process could work in the opposite direction: the artificial system would team up with the undeveloped brain to combine resources.
The previous steps could be used to move a mind from one body to another, hence the goal: a vehicle for the mind.