The Identity of Persons and Turing Machines

A fundamental question in artificial intelligence research is whether a person is a computable entity, i.e. whether the time dependent relation which connects various states of a person (personal identity) is in principle Turing computable. I reject this idea by three steps: (i), detailing personal identity as information transmission; (ii), analysing personal identity as a branching relation; (iii), characterising this branching relation as a chaotic dynamical system that is shown undecidable. I therefore maintain that if the identity of persons is branching, then it cannot be decidedly computed by deductive Turing machines.