No, that’s a very different problem. The matrix overlords are Laplace’s demon, with god-like omniscience about the present and past. The matrix overlords know the position and momentum of every molecule in my cup of tea. They can look up the microstate of any time in the past, for free.
The future AI is not Laplace’s demon. The AI is informationally bounded. It knows the temperature of my tea, but not the position and momentum of every molecule. Any uncertainties it has about the state of my tea will increase exponentially when trying to predict into the future or retrodict into the past. Figuring out which water molecules in my tea came from the kettle and which came from the milk is very hard, harder than figuring out which key encrypted a cypher-text.
Oh, wait, is this “How does a simulation keep secrets from the (computationally bounded) matrix overlords?”
This should be an equivalent problem, yes.
No, that’s a very different problem. The matrix overlords are Laplace’s demon, with god-like omniscience about the present and past. The matrix overlords know the position and momentum of every molecule in my cup of tea. They can look up the microstate of any time in the past, for free.
The future AI is not Laplace’s demon. The AI is informationally bounded. It knows the temperature of my tea, but not the position and momentum of every molecule. Any uncertainties it has about the state of my tea will increase exponentially when trying to predict into the future or retrodict into the past. Figuring out which water molecules in my tea came from the kettle and which came from the milk is very hard, harder than figuring out which key encrypted a cypher-text.