I found an interesting passage in
"Another disguised many worlds theory, says Deutsch, is John Cramer's
"transactional" interpretation in which information passes backwards and
forwards through time. When you measure the position of an atom, it
sends a message back to its earlier self to change its trajectory
But as the system gets more complicated, the number of messages
explodes. Soon, says Deutsch, it becomes vastly greater than the number
of particles in the Universe. The full quantum evolution of a system as
big as the Universe consists of an exponentially large number of
classical processes, each of which contains the information to describe
a whole universe. So Cramer's idea forces the multiverse on you, says
The "explosion of the number of messages" is not any more a problem
that the explosion of possible world in the multiverse. It is just
problematic for the chalk boards of human physicists. The 'messages' do
not need particles to occur. The quantum wave function of a physical
universe is sufficient to do the job, after all its superpositions track
exactly with the number of messages in Cramer's TIQM.
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