Is a spectrograph of hidden variables possible?

TL;DR

The paper explores whether a hypothetical 'spectrograph' of hidden variables can be compatible with Bell inequality violations, challenging assumptions about realism and locality in quantum mechanics.

Contribution

It introduces a new definition of 'Realism' as a spectrograph of hidden variables and shows this does not necessarily lead to Bell's inequalities, clarifying the roles of realism and locality.

Findings

Spectrograph of hidden variables can coexist with Bell inequality violations.

'Spectrograph's Realism' and 'Locality' are distinct and both necessary for deriving Bell's inequalities.

The results challenge traditional assumptions about realism in quantum theory.

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.