mn4j
- 191
- 0
DrChinese said:Pretty much, this is the standard hidden variable (a/k/a realistic) interpretation. The requirement stems from the fact that we have "perfect" correlations at matching angle settings for entangled pairs. I separated your definition from the rest of your post so we could see that I do agree with this idea as being the basis for realism, either naive or otherwise.
If this is the definition of realism at issue in Bell, then it is obvious why Bell and his proponents have missed the mark. Using my previous analogy of the sun and it's "color", you would be saying realism means the sun has a color when nobody is looking. You can see this by having two people wear different colored goggles. If you believe the realism means the sun has a color when nobody is looking, then you must also admit that the realism of the sun can be changed instantaneously by changing the color of goggles you put on (ie FTL). It is obvious to see how such a person would conclude that local hidden variable theorems are forbidden -- because in fact no local hidden variable theorem can explain being able to change the color of the sun superluminally. But as I hope is getting obvious already, the error was made by attributing to the sun only, properties that belong to the combined "sun + observer system". Correctly recognizing that the appropriate system must include the observer, you then realize that it becomes possible to use a hidden variable theorem to explain the results. The local hidden variable theorem in this case being along the lines that the sun produces a spectrum of electromagnetic radiation which when combined with the goggles results in absorption of some regions and not others resulting in different perceived colors.
I do not agree with the portion that requires there to be underlying attributes for every possible angle setting. I.e. if you divided a circle into 360 degrees and made each one an atrribute, there would be 360 attributes to describe spin. I do not believe realism asserts that there are 360 (or 360 million, or infinity, etc.) such attributes. Realism is merely the expression of the idea that there is a definite real outcome to a measurement of a specific observation, regardless of whether or not such observation is made. The mapping to an underlying physical attribute, operator, etc. is optional.
It may seem reasonable until you realize that the concept of "polarization" includes the measuring device in this particular case. You can't have it both ways. So then it is inconsistent to talk of the photon having a polarization even when no measurement has been made.
Note that to say the sun does not have a color when nobody is looking is not the same thing as saying the moon does not exist when nobody is looking. We are merely saying "color" by definition includes the object, observer and medium in the system.
Therefore
1) it doesnot even make sense to talk of "measuring" the color of the sun, because the sun does not have a color
2) it does not make sense to talk of the "sun+goggles+observer" system having a color when no measurement has been made because, the "color" of the "sun+goggles+observer" system is by definition, the result of a measurement.
Therefore I would modify your definition of realism to: Realism is merely the expression of the idea that there are objective facts about a system, whether or not observers know them (or can know them) and Local causality is therefore merely the expression of the idea that FTL or psychokinesis is unreasonable. This is the only definition of "realist local causality" that is exhaustive and consistent with EPR.
Naive realism is limited to the concept that all observations are passive revelations of properties owned by the objects being observed. But as we have seen, even if the objects own objective properties, their revelation need not be passive, in which case the revealed outcomes will be properties of the combined object/observer system. So naive realism is unreasonable. Any attempt to limit the EPR definition of reality to naive realism for the purpose of arguing against it is a straw-man argument.
In order to argue against all local realist theories therefore, you MUST prove that either:
1) No objective facts can exist about a system OR
2) argue why FTL or psychokinesis is reasonable.
Arguing against (1) is self defeating because the validity of any argument against (1) depends on the validity of (1). In other words, in order for the statement "No objective facts can exist about a system" to be valid, it must be an objective fact about all systems. So then we are left with (2). Has (2) been proven?