# Is a spectrograph of hidden variables possible?

**Authors:** Alejandro A. Hnilo  
**arXiv:** [2303.0003](https://arxiv.org/abs/2303.0003)  
**Date:** 2023-02-28  
**Summary page:** https://www.summarizepaper.com/en/paper/2303.0003v1/

## 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.

## Summary

In the field of quantum mechanics, a new definition of "Realism" has been proposed by Alejandro A. Hnilo in his paper titled "Is a spectrograph of hidden variables possible?". According to this definition, 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. If it were true, then such a spectrograph would be impossible because Bell's inequalities have been observed to be violated. However, Hnilo reports that such a spectrograph is compatible with the violation of 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. Hnilo further shows that "Spectrograph's Realism" and "Locality" are two distinct and necessary hypotheses for deriving Bell's inequalities. His paper challenges existing beliefs about the relationship between realism and locality in quantum mechanics and suggests avenues for further research into understanding these complex concepts in quantum mechanics. The paper concludes by emphasizing the importance of considering both realism and locality when attempting to derive Bell’s inequalities from first principles.