Experimental tests of hidden variable theories from dBB to stochastic electrodynamics

Genovese, M.; Brida, G.; Gramegna, Marco; Piacentini, Fabrizio; Predazzi, E.; Berchera, I. Ruo

doi:10.1088/1742-6596/67/1/012047

Cited by 9 publications

(6 citation statements)

References 71 publications

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“…Additionally, in Rueda's model [63,64], not only does the classical zero-point field drive the zbw oscillations, but the frequency cut-off generated by the zbw results in a non-dissipative, (effectively) Markovian diffusion process with diffusion coefficient /2m. Of course, these SED-based approaches should be cautioned; SED is know to have difficulties as a viable theory of quantum electrodynamical phenomena [67,68], and it is not clear that these difficulties can be resolved (but see [69,70,71,72,73] for recent counter-arguments). Furthermore, we expect that any realistic physical model of the zbw particle should consistently incorporate the Higgs mechanism (or some subquantum generalization thereof) [74] as the process by which the self-stable zbw harmonic potential of rest-mass m is formed in the first place.…”

Section: Plausibility Of the Zitterbewegung Hypothesismentioning

confidence: 99%

A Suggested Answer To Wallstrom's Criticism: Zitterbewegung Stochastic Mechanics II

Derakhshani

2016

Preprint

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The "zitterbewegung stochastic mechanics" (ZSM) answer to Wallstrom's criticism, introduced in the companion paper [1], is extended to many particles. We first formulate the many-particle generalization of Nelson-Yasue stochastic mechanics (NYSM), incorporating external and classical interaction potentials. Then we formulate the many-particle generalization of the classical zitterbewegung zbw model introduced in Part I, for the cases of free particles, particles interacting with external fields, and classically interacting particles. On the basis of these developments, ZSM is constructed for classically free particles, as well as for particles interacting both with external fields and through inter-particle scalar potentials. Throughout, the beables of ZSM (based on the many-particle formulation) are made explicit. Subsequently, we assess the plausibility and generalizability of the zbw hypothesis. We close with an appraisal of other proposed answers, and compare them to ZSM.

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Section: Plausibility Of the Zitterbewegung Hypothesismentioning

confidence: 99%

A Suggested Answer To Wallstrom's Criticism: Zitterbewegung Stochastic Mechanics II

Derakhshani

2016

Preprint

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“…The matching at all times for entangled or non-separable particles turns out to be problematic [63,64], requiring a specific choice of the relative orientation of the configuration spaces of the particles, which is not dictated by the theory itself.…”

Section: Hidden Variable Theoriesmentioning

confidence: 99%

The Unfinished Search for Wave-Particle and Classical-Quantum Harmony

Ghose¹

2015

j adv phys

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The main purpose of this paper is to review the progress that has taken place so far in the search for a single unifying principle that harmonizes (i) the wave and particle natures of matter and radiation, both at the quantum and the classical levels, on the one hand and (ii) the classical and quantum theories of matter and radiation on the other hand. In the author's opinion, the Koopman-von Neumann-Sudarshan (KvNS) Hilbert space theory based on complex wave functions underlying particle trajectories in classical phase space, is an important step forward in that direction. To appreciate the similarities and differences between classical and quantum wave functions, it is important first to review the famous paradoxes of quantum theory arising mainly from the dual character of matter and radiation and the mysterious nature of measurements in quantum theory. They have given rise to the suspicion that quantum mechanics is an incomplete theory and to multiple interpretations of quantum mechanics as well as no-go theorems ruling out certain types of hidden variable theories introduced to 'complete' quantum mechanics in some way. It is also important to point out that experimental verifications of the predictions of the double-prism experiment and the observation of average single photon trajectories in weak measurements appear to favour the spacetime picture of particles favoured by Einstein, de Broglie and Bohm over the complementarity approach favoured by Bohr. The KvN theory of classical mechanics provides a clear and beautiful harmony of classical waves and particles. Sudarshan has given an alternative but equivalent formulation that shows that classical mechanics can be regarded as a quantum theory with essentially hidden noncommuting variables. An extension of KvNS theory to classical electrodynamics provides a sound Hilbert space foundation to it and satisfactorily accounts for entanglement and Bell-CHSH-like violations already observed in classical polarization optics. An important new insight that has been obtained through these developments is that entanglement and Bell-like inequality violations are neither unique signatures of quantumness nor of non-locality-they are rather signatures of non-separability. Another new insight is the interpretation of the Wigner function as a KvNS wave function, i.e. a probability amplitude which need not be positive everywhere. This has important implications for simulating certain types of quantum information processes using classical polarization optics. Finally, Sudarshan's proposed solution to the measurement problem using KvNS theory for the measuring apparatus is sketched to show to what extent wave and particles can be harmonized in quantum theory.

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“…There is a difference in threshold's structure between photo-multipliers, as the one used in [50], [51], [52], and more recent experiments (e.g., [53]- [57]) based on silicon-avalanche-photodiodes. However, detectors of both types are based on threshold processes.…”

Section: Fundamental Thresholds Of Detectorsmentioning

confidence: 99%

Born’s formula from statistical mechanics of classical fields and theory of hitting times

Khrennikov

2014

Physica A: Statistical Mechanics and its Applications

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We show that quantum probabilities can be derived from statistical mechanics of classical fields. We consider Brownian motion in the space of fields and show that such a random field interacting with threshold type detectors produces clicks at random moments of time. And the corresponding probability distribution can be approximately described by the formalism of quantum mechanics. Hence, probabilities in quantum mechanics and classical statistical mechanics differ not so much as it is typically claimed. The temporal structure of the "prequantum random field" (which is the L2-valued Wiener process) plays the crucial role. Moments of detector's clicks are mathematically described as hitting times which are actively used in classical theory of stochastic processes. Born's rule appears as an approximate rule. In principle, the difference between the "precise detection probability rule" derived in this paper and the conventional Born's rule can be tested experimentally. In our model the presence of the random gain in detectors playes a crucial role. We also stress the role of the detection threshold. It is not merely a technicality, but the fundamental element of the model. keywords: classical statistical mechanics, infinite-dimensional state space, random fields. quantum probability of detection, derivation of Born's rule, threshold detectors, asymptotics of error function, distribution of hitting times, Brownian motion in the space of fields

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Experimental tests of hidden variable theories from dBB to stochastic electrodynamics

Cited by 9 publications

References 71 publications

A Suggested Answer To Wallstrom's Criticism: Zitterbewegung Stochastic Mechanics II

A Suggested Answer To Wallstrom's Criticism: Zitterbewegung Stochastic Mechanics II

The Unfinished Search for Wave-Particle and Classical-Quantum Harmony

Born’s formula from statistical mechanics of classical fields and theory of hitting times

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