Bell's theorem without hidden variables

Bell’s theorem implies that any completion of quantum mechanics which uses hidden variables (that is, preexisting values of all observables) must be nonlocal in the Einstein sense. This customarily indicates that knowledge of the hidden variables would permit superluminal communication. Such superluminal signaling, akin to the existence of a preferred reference frame, is to be expected. However, here we provide a protocol that allows an observer with knowledge of the hidden variables to communicate with her own causal past, without superluminal signaling. That is, such knowledge would contradict causality, irrespectively of the validity of relativity theory. Among the ways we propose for bypassing the paradox there is the possibility of hidden variables that change their values even when the state does not, and that means that signaling backwards in time is prohibited in Bohmian mechanics.

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Measurement problem and local hidden variables with entangled photons

Open Physics ◽

10.1515/phys-2017-0106 ◽

2017 ◽

Vol 15 (1) ◽

pp. 891-896

Author(s):

Eugen Muchowski

Keyword(s):

Singlet State ◽

Measurement Problem ◽

Hidden Variables ◽

Polarization Measurement ◽

Bell’S Theorem ◽

Bell's Theorem ◽

Entangled Photons ◽

Polarization Measurements ◽

Measurement Results ◽

Hidden Parameter

AbstractIt is shown that there is no remote action with polarization measurements of photons in singlet state. A model is presented introducing a hidden parameter which determines the polarizer output. This model is able to explain the polarization measurement results with entangled photons. It is not ruled out by Bell’s Theorem.

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Hidden variables and Bell's theorem in quantum mechanics

Foundations of Physics ◽

10.1007/bf02054671 ◽

1994 ◽

Vol 24 (5) ◽

pp. 739-751 ◽

Cited By ~ 1

Author(s):

H. Kummer ◽

R. G. McLean

Keyword(s):

Quantum Mechanics ◽

Hidden Variables ◽

Bell’S Theorem ◽

Bell's Theorem

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Quantum Computation and Arrows of Time

Entropy ◽

10.3390/e23010049 ◽

2020 ◽

Vol 23 (1) ◽

pp. 49

Author(s):

Nathan Argaman

Keyword(s):

Quantum Computation ◽

Quantum Physics ◽

Bell’S Theorem ◽

Arrow Of Time ◽

Bell's Theorem ◽

Classical Domain ◽

Further Development

Quantum physics is surprising in many ways. One surprise is the threat to locality implied by Bell’s Theorem. Another surprise is the capacity of quantum computation, which poses a threat to the complexity-theoretic Church-Turing thesis. In both cases, the surprise may be due to taking for granted a strict arrow-of-time assumption whose applicability may be limited to the classical domain. This possibility has been noted repeatedly in the context of Bell’s Theorem. The argument concerning quantum computation is described here. Further development of models which violate this strong arrow-of-time assumption, replacing it by a weaker arrow which is yet to be identified, is called for.

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