This result is really not that different from Bell's theorem on the loss of
classical probability distribution in the violation of inequalities. There
are Alice and Bob and their helpers, where if Alice gets a tails on a coin
toss she prepares a state in |-> and if she gets heads she prepares
1/sqrt{2}(|+> + |->). Now if this state is entangled in an EPR pair (say in
the singlet state) with Bob, he then reads an output that is either |+> or
with a .25 probability each a |+> or a |->. The helpers watching this
situation will report on the coin toss and the states, which will depart
from Alice and Bob's observations. This means the quantum outcome will
disagree with the coin toss results of .5 probability head/tails, which is
a classical expectation used to prepare the quantum states.
This result does mean that if QM is universally applied then outcome have
no strict objective basis, and if outcomes are thought of as objective then
QM is not universally applied. This indicates there is no way QM can be
made ψ-epistemic or ψ-ontic in a way that gives either consistency of QM
universally or that there is an objective basis for measurements that is
not subjective. ψ-epistemic and ψ-ontic interpretations are then in some
way complementary ways of thinking about QM.
LC
On Monday, December 3, 2018 at 7:15:15 PM UTC-6, Mason Green wrote:
>
>
> There’s a new article in Quanta Magazine (
> https://www.quantamagazine.org/frauchiger-renner-paradox-clarifies-where-our-views-of-reality-go-wrong-20181203/)
>
> about a thought experiment that poses trouble for certain interpretations
> of quantum mechanics.
>
> Specifically it implies that either 1. there are many worlds, 2. quantum
> mechanics will need to be modified (as in objective collapse theories), or
> 3. reality is subjective (solipsism?). Exciting stuff!
>
> -Mason
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