Can Einstein with Bohr Debate on Quantum Mechanics Be Closed

Three experimental groups succeeded recently to close, at the same time, locality and fair sampling loopholes and confirmed that realism understood as counterfactual definiteness may not be used to explain quantum phenomena. Since there is now a general consensus that Bell inequalities are violated it is important to understand what does it mean and how can we explain the existence of strong correlations between outcomes of distant measurements, predicted by quantum mechanics. Do we have to announce that: Einstein was wrong, Nature is not local and the correlations are produced due to the quantum magic and emerge, somehow, from outside space-time? We reject such conclusions and we show that violations of various inequalities can neither prove completeness of quantum mechanics nor that Nature is not local. We propose simpler contextual explanation of long range correlations predicted by quantum mechanics which reconciles in some sense Bohr with Einstein and we conclude that there is no evidence that Nature plays dice. We argue that to prove predictable completeness of quantum mechanics one has to search for fine structures in experimental data which might have been averaged out in standard statistical analysis and which were not predicted by the theory.

[1]  Michael J. W. Hall,et al.  The Significance of Measurement Independence for Bell Inequalities and Locality , 2015, 1511.00729.

[2]  Marek Zukowski,et al.  Quantum non-locality—it ainʼt necessarily so... , 2014, 1501.04618.

[3]  Luigi Accardi,et al.  Universality of the EPR-chameleon model , 2007 .

[4]  E. Knill,et al.  A strong loophole-free test of local realism , 2015, 2016 Conference on Lasers and Electro-Optics (CLEO).

[5]  C. Fuchs,et al.  Quantum probabilities as Bayesian probabilities , 2001, quant-ph/0106133.

[6]  Marian Kupczynski On operational approach to entanglement and how to certify it , 2016 .

[7]  Eberhard,et al.  Background level and counter efficiencies required for a loophole-free Einstein-Podolsky-Rosen experiment. , 1993, Physical review. A, Atomic, molecular, and optical physics.

[8]  Marian Kupczynski,et al.  Causality and local determinism versus quantum nonlocality , 2013, 1312.0636.

[9]  Andrei Khrennikov,et al.  CHSH Inequality: Quantum Probabilities as Classical Conditional Probabilities , 2014, 1406.4886.

[10]  Luigi Accardi,et al.  Some loopholes to save quantum nonlocality , 2005 .

[11]  Jeff Dean,et al.  Time Series , 2009, Encyclopedia of Database Systems.

[12]  Marian Kupczynski Seventy Years of the EPR Paradox , 2006 .

[13]  A. Zeilinger,et al.  Speakable and Unspeakable in Quantum Mechanics , 1989 .

[14]  Marian Kupczynski,et al.  Is quantum theory predictably complete? , 2008, 0810.1259.

[15]  Alain Aspect,et al.  Speakable and Unspeakable in Quantum Mechanics: Locality in quantum mechanics: reply to critics , 2004 .

[16]  Marian Kupczynski Time Series, Stochastic Processes and Completeness of Quantum Theory , 2011 .

[17]  Alain Aspect,et al.  Viewpoint: Closing the Door on Einstein and Bohr’s Quantum Debate , 2015 .

[18]  Karl Hess,et al.  Bell’s theorem: Critique of proofs with and without inequalities , 2005 .

[19]  Albert Einstein,et al.  Can Quantum-Mechanical Description of Physical Reality Be Considered Complete? , 1935 .

[20]  J. Bell On the Einstein-Podolsky-Rosen paradox , 1964 .

[21]  Sergio Doplicher,et al.  The Measurement Process in Local Quantum Physics and the EPR Paradox , 2009, 0908.0480.

[22]  Armen E. Allahverdyan,et al.  72 57 v 1 [ qu an tph ] 2 8 M ar 2 01 3 Statistical theory of ideal quantum measurement processes , 2014 .

[23]  M. Kupczyński,et al.  On some new tests of completeness of quantum mechanics , 1986 .

[24]  A. Peres Unperformed experiments have no results , 1978 .

[25]  Gerard 't Hooft Physics on the boundary between classical and quantum mechanics , 2014 .

[26]  M. Kupczynski,et al.  Entanglement and Bell Inequalities , 2004 .

[27]  Eric Lauga,et al.  The other optimal Stokes drag profile , 2014, Journal of Fluid Mechanics.

[28]  P. Grangier,et al.  Experimental Realization of Einstein-Podolsky-Rosen-Bohm Gedankenexperiment : A New Violation of Bell's Inequalities , 1982 .

[29]  A. Zeilinger,et al.  Bell violation using entangled photons without the fair-sampling assumption , 2012, Nature.

[30]  Aaron J. Miller,et al.  Detection-loophole-free test of quantum nonlocality, and applications. , 2013, Physical review letters.

[31]  Louis Marchildon,et al.  Why Should We Interpret Quantum Mechanics? , 2004 .

[32]  Andrei Khrennikov,et al.  Classical probability model for Bell inequality , 2014, 1404.7038.

[33]  Kristel Michielsen,et al.  Event-based simulation of quantum physics experiments , 2013, 1312.6942.

[34]  M. Kupczynski Entanglement and quantum nonlocality demystified , 2012, 1205.4636.

[35]  M. Kupczyński,et al.  Bertrand's paradox and Bell's inequalities , 1987 .

[36]  Armen E. Allahverdyan,et al.  Understanding quantum measurement from the solution of dynamical models , 2011, 1107.2138.

[37]  N. Gisin,et al.  How much measurement independence is needed to demonstrate nonlocality? , 2010, Physical review letters.

[38]  L. Accardi Topics in quantum probability , 1981 .

[39]  Albert Einstein,et al.  Physics and reality , 1936 .

[40]  L. Ballentine Quantum mechanics : a modern development , 1998 .

[41]  Andrei Khrennikov,et al.  Violation of Bell’s Inequality and non‐Kolmogorovness , 2009 .

[42]  Luigi Accardi,et al.  Could we now convince Einstein , 2006 .

[43]  Guillaume Adenier,et al.  Is the fair sampling assumption supported by EPR experiments , 2007 .

[44]  M. Kupczyński,et al.  Pitovsky model and complementarity , 1987 .

[45]  Marian Kupczynski Bell Inequalities, Experimental Protocols and Contextuality , 2014 .

[46]  Alain Aspect,et al.  Speakable and Unspeakable in Quantum Mechanics: Introduction to the hidden-variable question , 2004 .

[47]  Marian Kupczynski,et al.  Breakdown of statistical inference from some random experiments , 2016, Comput. Phys. Commun..

[48]  A. Shimony,et al.  Proposed Experiment to Test Local Hidden Variable Theories. , 1969 .

[49]  Karl Hess,et al.  Extended Boole-Bell inequalities applicable to quantum theory , 2009, 0901.2546.

[50]  W. M. de Muynck,et al.  Interpretations of quantum mechanics, joint measurement of incompatible observables, and counterfactual definiteness , 1994 .

[51]  M. Hall Local deterministic model of singlet state correlations based on relaxing measurement independence. , 2010, Physical review letters.

[52]  Marian Kupczynski Significance tests and sample homogeneity loophole , 2015 .

[53]  I. Pitowsky,et al.  George Boole's ‘Conditions of Possible Experience’ and the Quantum Puzzle , 1994, The British Journal for the Philosophy of Science.

[54]  S. Wehner,et al.  Loophole-free Bell inequality violation using electron spins separated by 1.3 kilometres , 2015, Nature.

[55]  Andrei Khrennikov,et al.  Unuploaded experiments have no result , 2015, 1505.04293.

[56]  Marian Kupczynski Greeks were right : critical comments on Qbism , 2015 .

[57]  N. David Mermin,et al.  An introduction to QBism with an application to the locality of quantum mechanics , 2013, 1311.5253.

[58]  Siegfried Fussy,et al.  Relational causality and classical probability: Grounding quantum phenomenology in a superclassical theory , 2014 .

[59]  Andrei Khrennikov,et al.  Bell's inequality: Physics meets Probability , 2007, 0709.3909.

[60]  H. Weyl,et al.  Philosophy of Mathematics and Natural Science , 1950 .

[61]  M. Horne,et al.  Experimental Consequences of Objective Local Theories , 1974 .

[62]  Ana María Cetto,et al.  Emergence of quantization: the spin of the electron , 2014 .

[63]  Jason Gallicchio,et al.  Testing Bell's inequality with cosmic photons: closing the setting-independence loophole. , 2013, Physical review letters.

[64]  N. Bohr II - Can Quantum-Mechanical Description of Physical Reality be Considered Complete? , 1935 .

[65]  Nicolas Gisin,et al.  Quantum Nonlocality: How Does Nature Do It? , 2009, Science.

[66]  Marian Kupczynski,et al.  EPR paradox, quantum nonlocality and physical reality , 2016, 1602.02959.

[67]  Andrei Khrennikov,et al.  Contextual Approach to Quantum Formalism , 2009 .

[68]  F. Jin,et al.  Event-Based Corpuscular Model for Quantum Optics Experiments , 2010, 1006.1728.

[69]  R. B. Lindsay,et al.  Essays 1958-1962 on Atomic Physics and Human Knowledge , 1987 .

[70]  T. Nieuwenhuizen,et al.  Is the Contextuality Loophole Fatal for the Derivation of Bell Inequalities? , 2011 .

[71]  Andrei Khrennikov,et al.  Ubiquitous Quantum Structure , 2010 .

[72]  Ivan Todorov,et al.  Quantum entanglement , 2015, 1506.04262.

[73]  A. Fine Hidden Variables, Joint Probability, and the Bell Inequalities , 1982 .

[74]  T. Nieuwenhuizen,et al.  Where Bell went wrong , 2008, 0812.3058.

[75]  H. De Raedt,et al.  Data analysis of Einstein-Podolsky-Rosen-Bohm laboratory experiments , 2013, Optics & Photonics - Optical Engineering + Applications.