Quantum Field Theory, Bell’s Inequalities and the Problem of Hidden Variables

Bell deduced the nature and form of “nonlocal hidden variables” that could yield the unusual pattern of responses in the paradoxical Bohm (B-EPR) version of the Einstein, Podolsky, Rosen (EPR) experiment. We consider that quantum field theory (QFT) allows for the existence of Bell’s hidden variables in the “dressing” of free electrons that may explain the EPR experimental results. Specifically, the dressing of free electrons can convey random vector information. Motivated by this, we use a random vector paradigm (RVP) to explore how well a Monte Carlo computer program compares with the experimental B-EPR statistics. In this algorithm, the random vector provides a unique fingerprint that allows these charged leptons to bear unique responses when their spin is read by Stern–Gerlach detectors. The program’s numerical results compare well with Bell’s experimental summary. This work offers the opportunity to consider that virtual particles play a role in understanding the origins of quantum mechanics (QM)’s unique entanglement and probabilistic behaviors.

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On the Problem of Hidden Variables in Algebraic Quantum Field Theory

Annals of the Japan Association for Philosophy of Science ◽

10.4288/jafpos1956.15.25 ◽

2006 ◽

Vol 15 (1) ◽

pp. 25-38 ◽

Cited By ~ 2

Author(s):

Yuichiro KITAJIMA

Keyword(s):

Field Theory ◽

Quantum Field Theory ◽

Hidden Variables ◽

Quantum Field ◽

Algebraic Quantum Field Theory ◽

Algebraic Quantum

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POLARIZATION CORRELATIONS IN PAIR PRODUCTION FROM CHARGED AND NEUTRAL STRINGS

Modern Physics Letters A ◽

10.1142/s0217732305015847 ◽

2005 ◽

Vol 20 (08) ◽

pp. 623-628 ◽

Cited By ~ 6

Author(s):

E. B. MANOUKIAN ◽

N. YONGRAM

Keyword(s):

Field Theory ◽

Quantum Field Theory ◽

Pair Production ◽

Relativistic Quantum ◽

Hidden Variables ◽

Quantum Field ◽

Relativistic Quantum Field Theory ◽

Relativistic Case ◽

Explicit Expressions

Polarization correlations of e+e- pair productions from charged and neutral Nambu strings are investigated, via photon and graviton emissions, respectively and explicit expressions for their corresponding probabilities are derived and found to be speed dependent. The strings are taken to be circularly oscillating closed strings, as perhaps the simplest solution of the Nambu action. In the extreme relativistic case, these probabilities coincide, but, in general, are different, and such inquiries, in principle, indicate whether the string is charged or uncharged. It is remarkable that these dynamical relativistic quantum field theory calculations lead to a clear violation of Local Hidden Variables theories.

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