Stoica, Ovidiu Cristinel (2022) Does quantum mechanics require "conspiracy"? [Preprint]
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Abstract
Quantum states containing records of incompatible outcomes of quantum
measurements are valid states in the tensor product Hilbert space. Since they
contain false records, they conflict with the Born rule and with our
observations. I show that excluding them requires a fine-tuning to an extremely
restricted subspace of the Hilbert space that seems "conspiratorial", in the
sense that
- it seems to depend on future events that involve records, and on
the dynamical law (normally thought to be independent of the initial
conditions),
- it violates Statistical Independence, even when it is valid in the
context of Bell's theorem.
To solve the puzzle, I build a model in which, by changing the dynamical law,
the same initial conditions can lead to different histories in which the
validity of records is relative to the new dynamical law. This relative
validity of the records turns the dependency of future valid records
upside-down, but the initial conditions still have to depend, at least
partially, on the dynamical law.
While violations of Statistical Independence are often seen as
non-scientific, they turn out to be needed to ensure the validity of records
and our own memories, and by this of science itself.
The Past Hypothesis is needed to ensure the existence of records, and turns
out to require violations of Statistical Independence. It is not excluded that
its explanation, still unknown, ensures such violations in the way needed by
local interpretations of quantum mechanics.
I suggest that an yet unknown law or superselection rule may restrict the
full tensor product Hilbert space to the very special subspace required by the
validity of records and the Past Hypothesis.
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Quantum mechanics requires "conspiracy". (deposited 27 Sep 2022 12:25)
- Does quantum mechanics require "conspiracy"? (deposited 04 Oct 2022 13:23) [Currently Displayed]
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