Can fluctuations of classical random field produce quantum averages?

Andrei Khrennikov

doi:10.1117/12.827043

10 September 2009 Can fluctuations of classical random field produce quantum averages?

Andrei Khrennikov

Proceedings Volume 7421, The Nature of Light: What are Photons? III; 742102 (2009) https://doi.org/10.1117/12.827043
Event: SPIE Optical Engineering + Applications, 2009, San Diego, California, United States

Abstract

Albert Einstein did not believe in completeness of QM. He dreamed of creation of prequantum classical statistical mechanics such that QM will be reproduced as its approximation. He also dreamed of total exclusion of corpuscules from the future model. Reality of Einstein's dream was pure fields' reality. Recently I made his dream come true in the form of so called prequantum classical statistical field theory (PCSFT). In this approach quantum systems are described by classical random fields, e.g., electromagnetic field (instead of photon), electron field or neutron field. In this paper we generalize PCSFT to composite quantum system. It is well known that in QM, unlike classical mechanics, the state of a composite system is described by the tensor product of state spaces for its subsystems. In PCSFT one can still use Cartesian product, but state spaces are spaces of classical fields (not particles). In particular, entanglement is nothing else than correlation of classical random fields, cf. again Einstein. Thus entanglement was finally demystified.

Citation Download Citation

Andrei Khrennikov "Can fluctuations of classical random field produce quantum averages?", Proc. SPIE 7421, The Nature of Light: What are Photons? III, 742102 (10 September 2009); https://doi.org/10.1117/12.827043

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