Thus greater violations measured do not cause greater temperature change measured on the detectors?

(As a reminder, the argument for quantum entanglement demonstrated by the EPR experiment is, that it seems that the photons don't have a definitive polarization before the measurement and this is only decided during the measurement on the detector and somehow communed instantly to the other detector thus violating the speed of light).

This I find crucial because if the process of the experiment is not adiabatic as possible say in a photon EPR experiment thus there is non sufficient large signal to noise ratio S/N of the detectors then the experiment could have an Gaussian noise loophole.

This Gaussian noise would be common in both detectors and therefore responsible for an apparent violation of Bells Inequality. With other words the detectors-polarization filters (i.e. measurement) are forcing photons with very close polarization angle to the filter but not the same, to align to the polarization angle of the filter with the same probability on both sides of the experiment and therefore responsible for the violation? Is there an EPR experiment free of this potential loophole?

The illustration here describes this possible loophole.

Preprint Is Bell's Inequality violation measured in EPR experiments a...

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