Dear George,
As I read your post I was struck by the necessary
assumptions that you noted:
1) that the black hole is large enough that the tidal forces do not rip
apart the observer falling into it
2) death occurs in one branch of the multiverse but not in another. What if we
considered the case where we used the size (mass) of the black as a parameter to
evaluate the communicability of our hypothetical infinite computer? What would
be the analogue in the multiverse?
I have
been rereading my copy of Bohm and Hiley's The Undivided Universe and in
particular the discussion of Gell_Mann and Hartle's consistent histories
interpretation and comparison with MWI. It occurs to me that the size of the
black hole (a function of its mass) and the differences between a pair of
branches of the multiverse (a function of the noncommutability of their
associated operators?) both seem to be 3person notions (borrowing Bruno
Marchal's term) while the idea of infinite computing that we are discussing
seems to be a 1person notion.
The
relation that Hawking et al have written about between a black hole's mass and
its entropy seem to be 3person notions and we seem to be in need of a 1person
analogue. Could it be that the notion of decoherence could be this 1person
analogue?
I will be
reading the papers that JeanMichel referenced and dreaming up a thought
experiment. Do you have any ideas at this time?
Kindest
regards,
Stephen

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