Quantum non-locality and relativity

It is sometimes stated that composite quantum systems in entangled states are fundamentally ‘non-local’(i.e. a measurement on one component system can affect a spacelike separated system ‘instantaneously’) and therefore, non-relativistic quantum mechanics violates Relativity theory. This conclusion is usually thought to follow directly from Bell's Theorem in quantum mechanics and the upper limit on velocities provided by the speed of light in Relativity. But exactly what if the conflict between the kind of non-locality exhibited by entangled quantum systems and either the Special or General Theory of Relativity? Maudlin's Quantum Non-Locality and Relativity is a beautifully crafted book that attempts to answer this question by evaluating four purported restrictions imposed by Relativity. He also considers four attempts to formulate Lorentz invariant quantum theories and concludes that such accounts exact a high philosophical price. Maudlin has achieved his first goal: he gives a lucid exposition of the tension between quantum non-locality and Relativity theory which is accessible to the non-specialist. But is there a high philosophical price to be paid for Lorentz invariant quantum theories and can we afford it?

[1]  Niels Bohr,et al.  Atomic Physics and Human Knowledge , 1958 .

[2]  Robert Weingard,et al.  A relativistic formulation of the Einstein-Podolsky-Rosen paradox , 1987 .

[3]  Some difficulties for Clifton, Redhead, and Butterfield's recent proof of nonlocality , 1991 .

[4]  B. Yurke,et al.  Bell's-inequality experiments using independent-particle sources. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[5]  Fine's Prism Models for Quantum Correlation Statistics , 1985, Philosophy of Science.

[6]  R. Penrose.  Gravity and state vector reduction. , 1986 .

[7]  M. Redhead,et al.  Generalization of the Greenberger-Horne-Zeilinger algebraic proof of nonlocality , 1991 .

[8]  James E. Jarrett,et al.  On the Physical Significance of the Locality Conditions in the Bell Arguments , 1984 .

[9]  D. Dürr,et al.  Quantum equilibrium and the origin of absolute uncertainty , 1992, quant-ph/0308039.

[10]  J. Cramer.  Generalized absorber theory and the Einstein-Podolsky-Rosen paradox , 1980 .

[11]  Arthur Fine,et al.  The shaky game , 1986 .

[12]  G. Roger,et al.  Experimental Test of Bell's Inequalities Using Time- Varying Analyzers , 1982 .

[13]  N. Mermin.  What's Wrong with these Elements of Reality? , 1990 .

[14]  Against Experimental Metaphysics , 1993 .

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

[16]  B. Hiley,et al.  On the relativistic invariance of a quantum theory based on beables , 1991 .

[17]  Ron Koppelberger,et al.  Space and Time , 2021, Nature.

[18]  O. Penrose.  The Direction of Time , 1962 .

[19]  M. Redhead,et al.  Incompleteness, Nonlocality, and Realism: A Prolegomenon to thePhilosophy of Quantum Mechanics , 1989 .

[20]  Arthur Fine.  Do correlations need to be explained , 1989 .

[21]  A. Shimony,et al.  Proposed molecular test of local hidden-variables theories , 1981 .

[22]  G. N. Fleming.  On a Lorentz Invariant Quantum Theory of Measurement , 1986 .

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

[24]  Tim Maudlin.  Bell's Inequality, Information Transmission, and Prism Models , 1992, PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association.

[25]  Arthur I. Miller.  Sixty-Two Years of Uncertainty : Historical, Philosophical, and Physical Inquiries into the Foundations of Quantum Mechanics , 1990 .

[26]  N. Giovannini.  Relativistic kinematics and dynamics: a new group theoretical approach , 1983 .

[27]  John Earman,et al.  A Primer on Determinism , 1986 .

[28]  Weber,et al.  Unified dynamics for microscopic and macroscopic systems. , 1986, Physical review. D, Particles and fields.

[29]  D. Bohm.  A SUGGESTED INTERPRETATION OF THE QUANTUM THEORY IN TERMS OF "HIDDEN" VARIABLES. II , 1952 .

[30]  G. N. Fleming,et al.  Hyperplane dependence in relativistic quantum mechanics , 1989 .

[31]  D. Dieks.  On the covariant description of wavefunction collapse , 1985 .

[32]  D. Bohm,et al.  Causality and Chance in Modern Physics , 1963 .

[33]  F. Károlyházy,et al.  On the possible role of gravity in the reduction of the wave function , 1986 .

[34]  A. Fine.  Correlations and efficiency: Testing the Bell inequalities , 1989 .

[35]  J. Wheeler,et al.  Classical Electrodynamics in Terms of Direct Interparticle Action , 1949 .

[36]  David Knight,et al.  World Enough and Space - Time: Absolute versus Relational Theories of Space and Time , 1991 .

[37]  S. Weidenschilling,et al.  A plurality of worlds , 1991, Nature.

[38]  G. Feinberg,et al.  Possibility of Faster-Than-Light Particles , 1967 .

[39]  A second look at a recent algebraic proof of nonlocality , 1991 .

[40]  Abner Shimony.  Search for a worldview which can accommodate our knowledge of microphysics , 1993 .

[41]  Sheldon Goldstein,et al.  Stochastic mechanics and quantum theory , 1987 .

[42]  K. Kraus,et al.  FORMAL DESCRIPTION OF MEASUREMENTS IN LOCAL QUANTUM FIELD THEORY. , 1970 .

[43]  T. Maudlin.  Space-Time in the Quantum World , 1996 .

[44]  George F. R. Ellis,et al.  The Large Scale Structure of Space-Time , 2023 .

[45]  Abner Shimony,et al.  An Exposition of Bell’s Theorem , 1990 .

[46]  General relativity from A to B , 1978 .

[47]  David Mermin,et al.  The Philosophical Writings of Neils Bohr , 1989 .

[48]  B. Yurke,et al.  Einstein-Podolsky-Rosen effects from independent particle sources. , 1992, Physical review letters.

[49]  N. David Mermin,et al.  Quantum Mysteries for Anyone , 1981 .

[50]  Silvan S. Schweber,et al.  An Introduction to Relativistic Quantum Field Theory , 1962 .

[51]  M. Kafatos.  Bell's theorem, quantum theory and conceptions of the universe , 1989 .