You can integrate it with initial conditions though and just like we can use our prefrontal cortex to predict the probable initial conditions of events(albeit inaccurately occasionally), a powerful computer may be able to predict our complex mental pathways based on known past events with high fidelity. I'm not saying that you wont need the initial conditions to integrate the function, I just think AGI would have less trouble with it than you assume. I think you have a good point about the principle though and I will take informative decay into my perceived utility of cryonics in the future.
a powerful computer may be able to predict our complex mental pathways based on known past events with high fidelity
"known past events" -- unless those past events are full-brain scans of the past, then all you're going to get is a reduction of the scope of the configuration space and not the exact function.
"A powerful computer" != "magic". No matter how smart you are, fifteen tons of mass moving at five thousand miles per second will still contain the same amount of kinetic energy. No amount of cleverness can extract info...
I know celebrities cryocrastinate just as much as anyone else, but King seems like the kind of guy to go through with it.
http://www.cnn.com/2011/12/02/showbiz/larry-king-i-want-to-be-frozen/index.html?hpt=hp_t3