Elements of sub-quantum thermodynamics: quantum motion as ballistic diffusion

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

doi:10.1088/1742-6596/306/1/012046

Cited by 16 publications

(27 citation statements)

References 21 publications

(34 reference statements)

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“…On a theoretical side, we have repeatedly stressed that the diffusion processes employed in our model must be described by nonlocal diffusion wave fields [25,26] which thus require small but non-zero amplitudes across the whole experimental setup. Moreover, and more specifically, we have shown [4,5] that quantum propagation can be identified with sub-quantum anomalous (i.e., "ballistic") diffusion which is characterized by infinite mean displacements x = ∞ despite the finite drifts x 2 = u 2 t 2 and u < c. In sum, these arguments speak in favor of using small, but non-zero amplitudes from the Gaussian of the "other slit"…”

Section: "Systemic" Nonlocality In Double Slit Interferencementioning

confidence: 77%

“…One thus obtains the exact quantum mechanical dispersion formula for a Gaussian, as we have obtained also previously from a different variant of our classical ansatz. For confirmation with respect to the latter (diffusion-based) model [4,5], we consider with (2.2) the usual definition of the "osmotic" velocity field, which in this case yields…”

Section: The Quantum As An Emergent System: a Sub-quantum Ap-proach Tmentioning

confidence: 99%

“…Moreover, one can also take the averages over fluctuations and positions to obtain a "smoothed-out" average velocity field [2][3][4][5], i.e.,…”

Section: The Quantum As An Emergent System: a Sub-quantum Ap-proach Tmentioning

confidence: 99%

“…In fact, with our approach we have in a series of papers obtained from a "classical" dynamical model several essential elements of quantum theory [2][3][4][5][6][7][8]. They derive from the assumption that a "particle" of energy E = ω is actually an oscillator of angular frequency ω phase-locked with the zero-point oscillations of the surrounding environment, the latter of which containing both regular and fluctuating components and being constrained by the boundary conditions of the experimental setup via the buildup and maintenance of standing waves.…”

Section: Introductionmentioning

confidence: 99%

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Emergence of quantum mechanics from a sub-quantum statistical mechanics

Grössing

2014

Int. J. Mod. Phys. B

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A research program within the scope of theories on "Emergent Quantum Mechanics" is presented, which has gained some momentum in recent years. Via the modeling of a quantum system as a non-equilibrium steady-state maintained by a permanent throughput of energy from the zero-point vacuum, the quantum is considered as an emergent system. We implement a specific "bouncerwalker" model in the context of an assumed sub-quantum statistical physics, in analogy to the results of experiments by Couder's group on a classical wave-particle duality. We can thus give an explanation of various quantum mechanical features and results on the basis of a "21 st century classical physics", such as the appearance of Planck's constant, the Schrödinger equation, etc. An essential result is given by the proof that averaged particle trajectories' behaviors correspond to a specific type of anomalous diffusion termed "ballistic" diffusion on a sub-quantum level.It is further demonstrated both analytically and with the aid of computer simulations that our model provides explanations for various quantum effects such as double-slit or n-slit interference.We show the averaged trajectories emerging from our model to be identical to Bohmian trajectories, albeit without the need to invoke complex wave functions or any other quantum mechanical tool. Finally, the model provides new insights into the origins of entanglement, and, in particular, into the phenomenon of a "systemic" nonlocality.

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Section: "Systemic" Nonlocality In Double Slit Interferencementioning

confidence: 77%

Section: The Quantum As An Emergent System: a Sub-quantum Ap-proach Tmentioning

confidence: 99%

“…Moreover, one can also take the averages over fluctuations and positions to obtain a "smoothed-out" average velocity field [2][3][4][5], i.e.,…”

Section: The Quantum As An Emergent System: a Sub-quantum Ap-proach Tmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Emergence of quantum mechanics from a sub-quantum statistical mechanics

Grössing

2014

Int. J. Mod. Phys. B

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“…t in the case of a Gaussian wave packet with standard deviation σ), leading to a "classically" obtained total velocity field which is very practical to use in a computer simulation tool [14,15]. Moreover, ballistic diffusion is a signature of what has in recent years become known as "superstatistics" [16].…”

Section: Introductionmentioning

confidence: 99%

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

Grössing

Fussy

Pascasio

et al. 2014

J. Phys.: Conf. Ser.

Self Cite

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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.

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A Classical Explanation of Quantization

Grössing¹,

Pascasio²,

Schwabl³

2011

Found Phys

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In the context of our recently developed emergent quantum mechanics, and, in particular, based on an assumed sub-quantum thermodynamics, the necessity of energy quantization as originally postulated by Max Planck is explained by means of purely classical physics. Moreover, under the same premises, also the energy spectrum of the quantum mechanical harmonic oscillator is derived. Essentially, Planck's constant h is shown to be indicative of a particle's "zitterbewegung" and thus of a fundamental angular momentum. The latter is identified with quantum mechanical spin, a residue of which is thus present even in the non-relativistic Schrödinger theory.

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Elements of sub-quantum thermodynamics: quantum motion as ballistic diffusion

Cited by 16 publications

References 21 publications

Emergence of quantum mechanics from a sub-quantum statistical mechanics

Emergence of quantum mechanics from a sub-quantum statistical mechanics

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

A Classical Explanation of Quantization

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