To perform homomorphic operations you need the public key, and that also allows one to encrypt any new value and perform further hidden computations under that key. The private key allows decryption of the values.
I suppose you could argue that the homomorphically encrypted mind exists ala mathematical realism even if the public key is destroyed, but it would be something “outside reality” computing future states of the encrypted mind after the public key is no longer available.
Oh, maybe what you are imagining is that it is possible to perceive a homomorphic mind in progress, by encrypting yourself, and feeding intermediate states of that other mind to your own homomorphically encrypted mind. Interesting hypothetical.
I think with respect to “reality” I don’t want to be making a dogmatic assumption “physics = reality” so I’m open to the possibility (C) that the computation occurs “in reality” even if not “in physics”.
After doing some more research I am not sure that it’s always possible to derive a public key knowing only the evaluation key; it seems to depend on the actual FHE scheme.
So the trilemma may be unaffected by this hypothetical. There’s also the question of duplication vs. unification for an observer that has the option to stay at base level reality or enter a homomorphically encrypted computation and whether those should be considered equivalent (enough).
To perform homomorphic operations you need the public key, and that also allows one to encrypt any new value and perform further hidden computations under that key. The private key allows decryption of the values.
I suppose you could argue that the homomorphically encrypted mind exists ala mathematical realism even if the public key is destroyed, but it would be something “outside reality” computing future states of the encrypted mind after the public key is no longer available.
Oh, maybe what you are imagining is that it is possible to perceive a homomorphic mind in progress, by encrypting yourself, and feeding intermediate states of that other mind to your own homomorphically encrypted mind. Interesting hypothetical.
I think with respect to “reality” I don’t want to be making a dogmatic assumption “physics = reality” so I’m open to the possibility (C) that the computation occurs “in reality” even if not “in physics”.
After doing some more research I am not sure that it’s always possible to derive a public key knowing only the evaluation key; it seems to depend on the actual FHE scheme.
So the trilemma may be unaffected by this hypothetical. There’s also the question of duplication vs. unification for an observer that has the option to stay at base level reality or enter a homomorphically encrypted computation and whether those should be considered equivalent (enough).