Is Nonlocality Responsible for the Violation of Bell’s Inequalities?

Abstract

Bell's theorem has been widely argued to show that some of the predictions of quantum mechanics which are obtained by applying the Born's rule to a class of entangled states, are not compatible with any local-causal statistical model, via the violation of Bell's inequalities. On the other hand, in the previous work, we have shown that quantum dynamics and kinematics are emergent from a statistical model that is singled out uniquely by the principle of Locality. Here we shall show that the local-causal model supports entangled states and give the statistical origin of their generation.We then study the Stern-Gerlach experiment to show that the Born's rule can also be derived as a mathematical theorem in the local-causal model. These results lead us to argue that nonlocality is not responsible for the quantum mechanical and most importantly experimental violation of Bell's inequalities. The source(s) of violation has to be sought somewhere else.

No-signaling non-unitary modification of quantum dynamics within a deterministic model of quantization

“…showing that within the statistical model measurement-interaction can be treated in equal footing as the other types of interaction [20,22], we have argued that the objective locality of the model implies no-signaling in the context of measurement. We have thus a class of no-signaling modifications of quantum dynamics which provides an internal mechanism of decoherence in macroscopic regime.…”

“…This is done by developing a deterministic model for the apparent random behavior of the microscopic world based on a chaotic deviation from infinitesimal stationary action reported in Refs. [18][19][20][21][22]. We have shown in Refs.…”

“…This suggests that the statistical fluctuation of |λ|, which leads both to quantum coherence and its loss (decoherence) in macroscopic regime, may have a cosmological origin. Moreover, since the model respects the principle of Locality objectively (independence of measurement), and measurement-interaction can be treated in equal footing as the other types of interaction [20], we shall argue that the objective locality of the model implies no-signaling in the context of measurement [22]. We have thus a class of no-signaling modification of quantum mechanics which leads to an intrinsic non-dissipative mechanism of decoherence.…”

“…To investigate the above foundational question, let us first discuss a statistical model of the apparently random microscopic deviations from classical mechanics based on a deterministic chaotic fluctuation of infinitesimal stationary action reported in Refs. [18][19][20][21][22].…”

Understanding quantum mechanics: a review and synthesis in precise language

“…Some analyze assumptions in terms of locality [175, § 8.6] [293,330], causality [175, § 8.7] [331,332] and local causality [333,334]. Whether or not such assumptions necessarily imply counterfactual reasoning is not a straightforward question [335].…”