I had a debate one time where the person I was arguing with said Bell's Inequalities ruled out hidden variable interpretations of quantum mechanics, including the Pilot Wave theory (aka Bohmian mechanics). At the time, I didn't know enough to dispute it, but then Nick Lucid from The Science Asylum told me Bell's Inequalities only ruled out local hidden variable interpretations, but since Pilot Wave theory was non-local, it wasn't ruled out by Bell's Inequalities. I thought I'd see what ChatGPT thought.
Sam: Do Bell's inequalities rule out deterministic interpretations of quantum mechanics?
ChatGPT: Bell's inequalities are a set of mathematical statements that describe the correlations between measurements of certain properties of quantum particles. They were first proposed by physicist John Bell in the 1960s as a way to test the predictions of different interpretations of quantum mechanics.
One interpretation of quantum mechanics is that it is deterministic, meaning that the state of a system is determined by its past states and the laws of physics, and that the measurement outcomes are predetermined. Another interpretation is that it is indeterministic, meaning that the state of a system is not determined by its past states and the laws of physics and that the measurement outcomes are not predetermined.
Bell's inequalities were proposed as a way to test whether the predictions of quantum mechanics are consistent with local realism, which is the idea that physical processes are determined by local causes and that the properties of a particle are determined by the properties of that particle alone.
Experiments were carried out in the 1970s and 1980s to test Bell's inequalities, and the results showed that the predictions of quantum mechanics are not consistent with local realism. This means that the results of these experiments are not consistent with the idea that the properties of a particle are determined by the properties of that particle alone and that the measurements outcomes are predetermined.
In summary, Bell's inequalities were proposed as a way to test whether the predictions of quantum mechanics are consistent with local realism. The results of experiments that tested these inequalities showed that the predictions of quantum mechanics are not consistent with local realism, which means that the properties of a particle are not determined by the properties of that particle alone, and the measurements outcomes are not predetermined. Some interpreted this as evidence against deterministic interpretations of quantum mechanics, but it's worth noting that there are other ways to interpret these results, such as the idea that quantum mechanics is nonlocal, meaning that the properties of a particle are not determined by the properties of that particle alone, but also by the properties of other particles.
Sam: Do Bell's inequalities rule out hidden variable interpretations of quantum mechanics?
ChatGPT: Bell's inequalities were proposed as a way to test whether the predictions of quantum mechanics are consistent with local realism, which is the idea that physical processes are determined by local causes and that the properties of a particle are determined by the properties of that particle alone. One way to make quantum mechanics consistent with local realism is to assume that there are hidden variables, which are properties of a particle that are not directly observable but determine the outcomes of measurements.
Experiments were carried out in the 1970s and 1980s to test Bell's inequalities, and the results showed that the predictions of quantum mechanics are not consistent with local realism. This means that the results of these experiments are not consistent with the idea that the properties of a particle are determined by the properties of that particle alone and that the measurements outcomes are predetermined.
This led many to conclude that the results of these experiments rule out hidden variable interpretations of quantum mechanics, as they imply that it is not possible to find a set of hidden variables that would make the predictions of quantum mechanics consistent with local realism.
It's worth noting that not all hidden variable interpretations are ruled out by Bell's inequalities, some interpretations of quantum mechanics, such as Bohmian mechanics, are non-local and they can make the predictions of quantum mechanics consistent with the experimental results without invoking hidden variables.
In summary, Bell's inequalities were proposed as a way to test whether the predictions of quantum mechanics are consistent with local realism. The results of experiments that tested these inequalities showed that the predictions of quantum mechanics are not consistent with local realism, which means that the properties of a particle are not determined by the properties of that particle alone, and the measurements outcomes are not predetermined. This led many to conclude that the results of these experiments rule out hidden variable interpretations of quantum mechanics that assume local realism, but not all hidden variable interpretations are ruled out by Bell's inequalities.
Sam: If conscious states can affect our behavior in spite of being unobservable, doesn't that mean there are hidden variables that influence the movement of physical objects?
ChatGPT: The idea that conscious states can influence behavior, even though they are unobservable, can be seen as similar to the concept of hidden variables in physics. In physics, hidden variables are properties of a system that are not directly observable, but are thought to determine the outcomes of measurements.
In the case of conscious states and behavior, conscious states are considered to be private and unobservable, but research suggests that they can have an influence on behavior. The relationship between conscious states and behavior can be thought of as similar to the relationship between hidden variables and the outcomes of measurements in physics.
It's worth noting that the existence of hidden variables in physics is still a matter of ongoing debate and research, and similarly, the idea that conscious states can influence behavior in spite of being unobservable is also a topic of ongoing debate and research in the field of philosophy and neuroscience.
In summary, the idea that conscious states can influence behavior, even though they are unobservable, can be seen as similar to the concept of hidden variables in physics, where hidden variables are properties of a system that are not directly observable but are thought to determine the outcomes of measurements. The existence of hidden variables in physics is still a matter of ongoing debate and research, and similarly, the idea that conscious states can influence behavior in spite of being unobservable is also a topic of ongoing debate and research in the field of philosophy and neuroscience.
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