Remarks on the Hypothesis of Hidden Variables

Patrick Suppes

z, y

Abner Shimony

Louis Vervoort

In the debate whether ‘hidden variables’ could exist underneath quantum probabilities, the ‘no hidden-variables’ position is at present favored. In this article I attempt to provide a more equilibrated verdict, by pointing towards the heuristic and explanatory power of the hidden-variables hypothesis, in particular in its deterministic form. I argue that this hypothesis can answer three foundational questions, whereas the opposing thesis (‘no hidden variables’) remains entirely silent for them. These questions are: 1) How to interpret probabilistic correlation ? (a question considered by Kolmogorov “one of the most important problems in the philosophy of the natural sciences”, and first analysed by Reichenbach); 2) How to interpret the Central Limit Theorem ?; and 3) Are there degrees of freedom that could unify quantum field theories and general relativity, and if so, can we (at least qualitatively) specify them ? It appears that only the hidden-variables hypothesis can provide coherent answers to these problems; answers which can be mathematically justified in the deterministic case. This suggests that the hidden-variables hypothesis should be considered a legitimate candidate as a guiding, unifying principle in the foundations of physics.

Ming‐Han Li, Cheng Wu, Yanbao Zhang +16 more

Inspired by the recent remarkable progress in the experimental test of local realism, we report here such a test that achieves an efficiency greater than (78%)^{2} for entangled photon pairs separated by 183 m. Further utilizing the randomness in cosmic photons from pairs of stars on the opposite sides of the sky for the measurement setting choices, we not only close the locality and detection loopholes simultaneously, but also test the null hypothesis against local hidden variable mechanisms for events that took place 11 years ago (13 orders of magnitude longer than previous experiments). After considering the bias in measurement setting choices, we obtain an upper bound on the p value of 7.87×10^{-4}, which clearly indicates the rejection with high confidence of potential local hidden variable models. One may further push the time constraint on local hidden variable mechanisms deep into the cosmic history by taking advantage of the randomness in photon emissions from quasars with large aperture telescopes.

F. J. Duarte