An explanation of interference effects in the double slit experiment: Classical trajectories plus ballistic diffusion caused by zero-point fluctuations

Groessing, Gerhard; Fussy, Siegfried; Pascasio, Johannes Mesa; Schwabl, Herbert

doi:10.1016/j.aop.2011.11.010

Cited by 29 publications

(87 citation statements)

References 26 publications

(58 reference statements)

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“…2.2). In our emergent quantum mechanics approach, we have given a superclassical explanation of interference effects at a double slit [12], thereby arriving at expressions for the probability density current and the corresponding velocity field completely equivalent to the guidance equation, which is the central postulate of the de Broglie-Bohm interpretation [21,22]. Our claims, to be substantiated in this paper, consist in the assertion that the guidance equation is of some "invisible hand" type, i.e.…”

Section: Introductionmentioning

confidence: 92%

“…In particular, with the dynamics between the oscillator on the one hand, and the "bath" of its thermal environment as constrained by the experiment's boundary conditions on the other hand, one can explain not only Gaussian diffraction at a single slit [15], but also the well-known interference effects at a double slit [12,27]. As already mentioned, we have also shown that the spreading of a wave packet can be exactly described by combining the convective with the orthogonal diffusive velocity fields.…”

Section: A Superclassical Derivation Of the Guidance Equationmentioning

confidence: 99%

“…As first shown in [12], by re-inserting the expressions for convective and diffusive velocities, respectively, i.e.…”

Section: (38)mentioning

confidence: 99%

“…The obtained total density current field J tot (x, t) spanned by the various velocity components v i (x, t) and u iR(L) (x, t) we have denoted as the "path excitation field" [12]. It is built by the sum of all its partial currents, which themselves are built by an amplitude weighted projection of the total current.…”

Section: (38)mentioning

confidence: 99%

“…We consider the quantum itself as an emergent system understood as offequilibrium steady state oscillation maintained by a constant throughput of energy provided by the ("classical") zero-point energy field. Starting with this concept, our group was able to assess phenomena of standard quantum mechanics like Gaussian dispersion of wave packets, superposition, double slit interference, Planck's energy relation, or the Schrödinger equation, respectively, as the emergent property of an underlying sub-structure of the vacuum combined with diffusion processes reflecting the stochastic parts of the zero-point field [10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

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Relational causality and classical probability: Grounding quantum phenomenology in a superclassical theory

Grössing

Fussy

Pascasio

et al. 2014

J. Phys.: Conf. Ser.

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Abstract. By introducing the concepts of "superclassicality" and "relational causality", it is shown here that the velocity field emerging from an n-slit system can be calculated as an average classical velocity field with suitable weightings per channel. No deviation from classical probability theory is necessary in order to arrive at the resulting probability distributions. In addition, we can directly show that when translating the thus obtained expression for said velocity field into a more familiar quantum language, one immediately derives the basic postulate of the de Broglie-Bohm theory, i.e. the guidance equation, and, as a corollary, the exact expression for the quantum mechanical probability density current. Some other direct consequences of this result will be discussed, such as an explanation of Born's rule and Sorkin's first and higher order sum rules, respectively.

show abstract

Section: Introductionmentioning

confidence: 92%

Section: A Superclassical Derivation Of the Guidance Equationmentioning

confidence: 99%

“…As first shown in [12], by re-inserting the expressions for convective and diffusive velocities, respectively, i.e.…”

Section: (38)mentioning

confidence: 99%

Section: (38)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Relational causality and classical probability: Grounding quantum phenomenology in a superclassical theory

Grössing

Fussy

Pascasio

et al. 2014

J. Phys.: Conf. Ser.

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Bell’s Theorem: Two Neglected Solutions

Vervoort

2013

Found Phys

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Bell's theorem admits several interpretations or 'solutions', the standard interpretation being 'indeterminism', a next one 'nonlocality'. In this article two further solutions are investigated, termed here 'superdeterminism' and 'supercorrelation'. The former is especially interesting for philosophical reasons, if only because it is always rejected on the basis of extra-physical arguments. The latter, supercorrelation, will be studied here by investigating model systems that can mimic it, namely spin lattices. It is shown that in these systems the Bell inequality can be violated, even if they are local according to usual definitions. Violation of the Bell inequality is retraced to violation of 'measurement independence'. These results emphasize the importance of studying the premises of the Bell inequality in realistic systems. Introduction.Arguably no physical theorem highlights the peculiarities of quantum mechanics with more clarity than Bell's theorem [1][2][3]. Bell succeeded in deriving an experimentally testable criterion that would eliminate at least one of a few utterly fundamental hypotheses of physics. Despite the mathematical simplicity of Bell's original article, its interpretation -the meaning of the premises and consequences of the theorem, the 'solutions' left -has given rise to a vast secondary literature. Bell's premises and conclusions can be given various formulations, of which it is not immediately obvious that they are equivalent to the original phrasing; several types of 'Bell theorems' can be proven within different mathematical assumptions. As a consequence, after more than 40 years of research, there is no real consensus on several interpretational questions.In the present article we will argue that at least two solutions to Bell's theorem have been unduly neglected by the physics and quantum philosophy communities. To make a self-contained discussion, we will start (Section 2) by succinctly reviewing the precise premises on which the Bell inequality (BI) is based. In the case of the deterministic variant of Bell's theorem these premises comprise locality and 'measurement independence' (MI); for the stochastic variant they are MI, 'outcome independence' (OI) and 'parameter independence' [4][5][6]. Rejecting one of these premises corresponds to a possible solution or interpretation of Bell's theorem -if it is physically sound. In Section 3 we will succinctly review well-known positions, which can be termed 'indeterminism' (the 2 orthodox position) and 'nonlocality' (in Bell's strong sense), and give essential arguments in favor and against them. We believe this is not a luxury, since it seems that quite some confusion exists in the literature: popular slogans such as 'the world is nonlocal', 'local realism is dead', 'the quantum world is indeterministic' are not proven consequences of a physical theory, but metaphysical conjectures among others -or even misnomers. It is therefore useful to clearly distinguish what is proven within a physics theory, and what is metaphysical, i.e. what is ...

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No-Go Theorems Face Background-Based Theories for Quantum Mechanics

Vervoort

2015

Found Phys

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Abstract.Recent experiments have shown that certain fluid-mechanical systems, namely oil droplets bouncing on oil films, can mimic a wide range of quantum phenomena, including double-slit interference, quantization of angular momentum and Zeeman splitting. Here I investigate what can be learned from these systems concerning no-go theorems as those of Bell and Kochen-Specker. In particular, a model for the Bell experiment is proposed that includes variables describing a 'background' field or medium. This field mimics the surface wave that accompanies the droplets in the fluidmechanical experiments. It appears that quite generally such a model can violate the Bell inequality and reproduce the quantum statistics, even if it is based on local dynamics only. The reason is that measurement independence is not valid in such models. This opens the door for local 'background-based' theories, describing the interaction of particles and analyzers with a background field, to complete quantum mechanics. Experiments to test these ideas are also proposed.

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An explanation of interference effects in the double slit experiment: Classical trajectories plus ballistic diffusion caused by zero-point fluctuations

Cited by 29 publications

References 26 publications

Relational causality and classical probability: Grounding quantum phenomenology in a superclassical theory

Relational causality and classical probability: Grounding quantum phenomenology in a superclassical theory

Bell’s Theorem: Two Neglected Solutions

No-Go Theorems Face Background-Based Theories for Quantum Mechanics

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