entropy2information
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stevendaryl said:Nonpredictability or nondeterminism. It has nothing to do with "will".
I disagree and so does Conway and Kochen. There not just talking about the appearance of choice as you are. They're saying that the Experimenters choice is determined by his/her will alone and there can't be any mechanism that's an element of physical reality that can determine what the Experimenter chooses to measure.
There's a way out of this but Determinist will not like it. They can say the wave function is real but non physical.
The wave-function is real but nonphysical: A view from counterfactual quantum cryptography
Counterfactual quantum cryptography (CQC) is used here as a tool to assess the status of the quantum state: Is it real/ontic (an objective state of Nature) or epistemic (a state of the observer's knowledge)? In contrast to recent approaches to wave function ontology, that are based on realist models of quantum theory, here we recast the question as a problem of communication between a sender (Bob), who uses interaction-free measurements, and a receiver (Alice), who observes an interference pattern in a Mach-Zehnder set-up. An advantage of our approach is that it allows us to define the concept of "physical", apart from "real". In instances of counterfactual quantum communication, reality is ascribed to the interaction-freely measured wave function (ψ) because Alice deterministically infers Bob's measurement. On the other hand, ψ does not correspond to the physical transmission of a particle because it produced no detection on Bob's apparatus. We therefore conclude that the wave function in this case (and by extension, generally) is real, but not physical. Characteristically for classical phenomena, the reality and physicality of objects are equivalent, whereas for quantum phenomena, the former is strictly weaker. As a concrete application of this idea, the nonphysical reality of the wavefunction is shown to be the basic nonclassical phenomenon that underlies the security of CQC.
https://arxiv.org/abs/1311.7127
Most Determist are Materialist though and this sounds to much like God. Something that's real but non physical that knows and detrmines all things.
So you have the imaginary part of the wave function that's real and non physical and it's encoded with real information. This information becomes an element of physical reality when a measurement occurs.
This is the only way I see out of the conundrum that is determinism. As Kochen Specker theorem and the free will theorem show, the information that includes the choice of the Experimenter and the history of the particle can't be an element of physical reality prior to measurement, therefore the deterministic mechanism can't be physical.