Locality and indeterminism preserve the second law

Abstract It is argued that anything that outraces c contradicts not only relativity theory but also the second law of thermodynamics. The case of quantum-mechanical correlations is considered, where quantum indeterminism guarantees that no superluminal signal can be sent by such correlations. Discussing theories that seek to reestablish some form of quantum determinism, a distinction is introduced between “source determinism” and “collapse determinism”. Theories based on the former hypothesis seem to render the second law a mere secondary consequence of initial conditions. Theories of the latter type seem to allow superluminal communication as well as violations of the second law. Locality and quantum indeterminism are therefore deeply related to the second law. These conclusions impose fundamental constraints on any realistic model of wave-packet collapse or tachyons.

[1]  A. Eddington The Nature of the Physical World , 1928 .

[2]  A. Valentini Signal-locality, uncertainty, and the subquantum H-theorem. II , 1991 .

[3]  E. Recami Classical tachyons and possible applications , 1986 .

[4]  J. Bekenstein Black Holes and Entropy , 1973, Jacob Bekenstein.

[5]  J. Bell,et al.  Speakable and Unspeakable in Quatum Mechanics , 1988 .

[6]  J. Parmentola,et al.  Peculiar properties of tachyon signals , 1971 .

[7]  L. Hardy N-measurement Bell inequalities, N-atom entangled states, and the nonlocality of one photon , 1991 .

[8]  A. Elitzur On some neglected thermodynamic peculiarities of quantum non-locality , 1990 .

[9]  R. Dicke,et al.  Interaction‐free quantum measurements: A paradox? , 1981 .

[10]  Nick Herbert FLASH—A superluminal communicator based upon a new kind of quantum measurement , 1982 .

[11]  Michael Barr,et al.  The Emperor's New Mind , 1989 .

[12]  Frank Arntzenius Causal Paradoxes in Special Relativity , 1990, The British Journal for the Philosophy of Science.

[13]  Collapse of the state vector and psychokinetic effect , 1982 .

[14]  H. Dieter Zeh,et al.  The Problem of Time. (Book Reviews: The Physical Basis of the Direction of Time.) , 1989 .

[15]  LORENTZ AND CPT INVARIANCES AND THE EINSTEIN-PODOLSKY-ROSEN CORRELATIONS , 1983 .

[16]  Antony Valentini,et al.  Signal-locality, uncertainty, and the subquantum H-theorem. I , 1990 .

[17]  D. Home,et al.  Is quantum mechanics with CP nonconservation incompatible with Einstein's locality condition at the statistical level? , 1988 .

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

[19]  F. Pirani,et al.  Noncausal behavior of classical tachyons , 1970 .