Is a spectrograph of hidden variables possible?
Authors: Alejandro A. Hnilo
AI-generated Key Points
- A new definition of "Realism" has been proposed in the field of quantum mechanics by Alejandro A. Hnilo.
- The definition proposes that a hypothetical "spectrograph" of hidden variables should behave like an actual spectrograph that measures wavelengths.
- The question is whether this definition alone can lead to the derivation of Bell's inequalities, which describe the limits on correlations between distant particles in quantum mechanics.
- Hnilo reports that such a spectrograph is compatible with the violation of Bell's inequalities, challenging existing beliefs about the relationship between realism and locality in quantum mechanics.
- Hnilo shows that "Spectrograph's Realism" and "Locality" are two distinct and necessary hypotheses for deriving Bell's inequalities.
- This finding sheds new light on the controversy surrounding the assumptions required for deriving Bell's inequalities and provides insights into how hidden variables could potentially explain quantum phenomena.
- The paper concludes by emphasizing the importance of considering both realism and locality when attempting to derive Bell’s inequalities from first principles.
Abstract: A new definition of "Realism" is proposed: it is that a gedanken "spectrograph" of hidden variables behaves as an actual (say, wavelength) spectrograph. The question is: does this definition allow, by itself, the derivation of Bell's inequalities? If it were, then such a spectrograph would be impossible, for Bell's inequalities are observed to be violated. In this short paper it is reported that, on the contrary, such spectrograph is compatible with the violation of Bell's inequalities. This result puts some new light on the controversy about the hypotheses necessary to derive Bell's inequalities. In particular, "Spectrograph's Realism", and "Locality", are proven to be different, and both necessary, hypotheses to derive Bell's inequalities.
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