> It would not be possible for Cortana to exist 500 years into the future so I doubt Master Chief has been asleep that long. It has been hinted that Cortana is reaching the early stages of rampancy so my guess would be Chief has been asleep a few years at most.
Technically, Cortana does have Forerunner technology in her, So it is it not possible that, that same technology is allowing her to Life Longer? What if Cortana purged information during the cryosleep. Store the non essential information on the part of the ship they are on instead of on her matrix. That could in theory allow her to live longer. All she has to go off of is the stuff she has already, Other than the holes in the ship there really isnt anything new she can learn.
There is soo many things AIs can do that we dont know, its possible that there are ways for them to live longer… such as the AI putting itsself into a “Sleep” mode kind of state where nothing happens but the basic files to keep them running. She isn’t really going to be do anything, and it would make sense because she is based off a human mind, and as such isnt immune to emotions that humans get when left alone for long periods of time.
I think they have been asleep for 2 or 3 years