For perfect prediction of the universe, the universe must be COMPLETELY simulated. The mechanism to simulate the universe must have memory sufficient to store the state of the universe completely. But that storage mechanism must then store its own state completely, PLUS the rest of the universe. And of course inside the state stored, must be a complete copy of the stored information, PLUS the rest of the universe.
The mechanism can just store a reference to itself.
The mechanism can just store a reference to itself.
Actually this will not work. Since Omega would be running a simulation of the universe, including a simulation of his own simulation of the universe, the memory space for the simulation of the simulation and for the simulation would need to be distinct as they would not contain the same values as the simulation went on.
The mechanism can just store a reference to itself.
Actually this will not work. Since Omega would be running a simulation of the universe, including a simulation of his own simulation of the universe, the memory space for the simulation of the simulation and for the simulation would need to be distinct as they would not contain the same values as the simulation went on.