Subquantum detection theory—SDT

Abstract We show that the cornerstone of QM—Born's rule—can be obtained from “subquantum detection theory” (SDT). This detection theory is based on purely classical field model for “quantum particles”. Electrons, photons, etc., neutrons are represented as classical waves fluctuating on a very fine time scale, constituting subquantum random fields. A crucial point is that SDT not only reproduce the quantum probabilities for detection, but it provides a possibility to go beyond QM, cf. [Th.M. Nieuwenhuizen, B. Mehmani, V. Spicka, M.J. Aghdami, A.A.Yu. Khrennikov (Eds.), Beyond the Quantum, WSP, Singapore, 2007]. We extend SDT by modelling measurements with the aid of detectors which are sensitive to nonquadratic influence of the subquantum random field. The difference between probabilistic predictions of QM and SDT is estimated.

[1]  G. Cavalleri,et al.  DISCRIMINATING BETWEEN QM AND SED WITH SPIN , 2000 .

[2]  D. A. Edwards.  The mathematical foundations of quantum mechanics , 1979, Synthese.

[3]  Andrei Khrennikov,et al.  Generalizations of Quantum Mechanics Induced by Classical Statistical Field Theory , 2005 .

[4]  A. M. Cetto,et al.  SELF-INTERACTION CORRECTIONS IN A NONRELATIVISTIC STOCHASTIC THEORY OF QUANTUM MECHANICS. , 1971 .

[5]  P. Libby.  The Scientific American , 1881, Nature.

[6]  Daniel C. Cole,et al.  The quantum dice: An introduction to stochastic electrodynamics , 1996 .

[7]  A. Barut,et al.  Foundations of radiation theory and quantum electrodynamics , 1980 .

[8]  Andrei Khrennikov,et al.  A pre-quantum classical statistical model with infinite-dimensional phase space , 2005, quant-ph/0505228.

[9]  Andrei Khrennikov.  Quantum mechanics from time scaling and random fluctuation , 2006 .

[10]  Luis de la Peña,et al.  The quantum dice : an introduction to stochastic electrodynamics , 1996 .

[11]  A model for the stochastic origins of Schrödinger’s equation , 1979, quant-ph/0112157.

[12]  Curie-Weiss model of the quantum measurement process , 2002, cond-mat/0203460.

[13]  Andrei Khrennikov.  Born's rule from classical random fields , 2008 .

[14]  L. Mandel,et al.  Optical Coherence and Quantum Optics , 1995 .

[15]  W. Louisell.  Quantum Statistical Properties of Radiation , 1973 .

[16]  Andrei Khrennikov.  Nonlinear Schrödinger equations from prequantum classical statistical field theory , 2006 .

[17]  A dynamical theory of Markovian diffusion , 1979, quant-ph/0110050.