A Classical Explanation of Quantization

Grössing, Gerhard; Pascasio, Johannes Mesa; Schwabl, Herbert

doi:10.1007/s10701-011-9556-1

Cited by 38 publications

(56 citation statements)

References 27 publications

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“…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%

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: Introductionmentioning

confidence: 99%

Emergence of quantum mechanics from a sub-quantum statistical mechanics

Grössing

2014

Int. J. Mod. Phys. B

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“…Regarding the respective (-zero-point‖) oscillations of the vacuum, we simply assume the particle oscillator to be embedded in an environment comprising a corresponding energy bath. [4] where the first term within the brackets is the kinetic energy and the second one is the potential energy of the oscillator system. Therefore, the time-derivative of the sum must be zero since the sum is the whole energy of the system and has hence to be of constant value.…”

Section: The "Walking Bouncer": a Classical Explanation Of Quantizatimentioning

confidence: 99%

“…path, just as in our thermodynamic approach [2,3,4] the particle both absorbs heat from and emits heat into its environment, both cases of which can be described in terms of momentum fluctuations.…”

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confidence: 98%

Sub-Quantum Thermodynamics as a Basis of Emergent Quantum Mechanics

Grössing

2010

Entropy

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This review presents results obtained from our group's approach to model quantum mechanics with the aid of nonequilibrium thermodynamics. As has been shown, the exact Schrödinger equation can be derived by assuming that a particle of energy  is actually a dissipative system maintained in a nonequilibrium steady state by a constant throughput of energy (heat flow). Here, also other typical quantum mechanical features are discussed and shown to be completely understandable within our approach, i.e., on the basis of the assumed sub-quantum thermodynamics. In particular, Planck's relation for the energy of a particle, the Heisenberg uncertainty relations, the quantum mechanical superposition principle and Born's rule, or the -dispersion of the Gaussian wave packet‖, a.o., are all explained on the basis of purely classical physics.

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“…In the present paper, we re-visit these experiments and results from a new perspective, and we also discuss new, previously unexpected effects. For, our group has in recent years introduced a "superclassical" approach to describe and explain quantum behavior as an emergent phenomenon in between classical boundary conditions on the one hand, and an assumed classical subquantum domain at vastly smaller spatial scales on the other [3][4][5][6][7][8][9][10][11]. Here we are going to apply our approach to the above-mentioned intensity hybrids.…”

Section: Introductionmentioning

confidence: 99%

Extreme beam attenuation in double-slit experiments: Quantum and subquantum scenarios

et al. 2015

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Combining high and low probability densities in intensity hybrids, we study some of their properties in double-slit setups. In particular, we connect to earlier results on beam attenuation techniques in neutron interferometry and study the effects of very small transmission factors, or very low counting rates, respectively, at one of the two slits. We use a "superclassical" modeling procedure which we have previously shown to produce predictions identical with those of standard quantum theory.Although in accordance with the latter, we show that there are previously unexpected new effects in intensity hybrids for transmission factors below a 10 −4 , which can eventually be observed with the aid of weak measurement techniques. We denote these as quantum sweeper effects, which are characterized by the bunching together of low counting rate particles within very narrow spatial domains. We give an explanation of this phenomenology by the circumstance that in reaching down to ever weaker channel intensities, the nonlinear nature of the probability density currents becomes ever more important, a fact which is generally not considered -although implicitly present -in standard quantum mechanics.Deterministic and stochastic beam attenuation have been studied extensively in neutron interferometry, beginning with the work by Rauch and Summhammer in 1984 [1]. More recently, an interesting model of these results has been presented by De Raedt et al. [12] with the aid of event-by-event simulations, thus confirming the possibility to describe the known results even without the use of quantum mechanics. Our approach, in contrast,

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A Classical Explanation of Quantization

Cited by 38 publications

References 27 publications

Emergence of quantum mechanics from a sub-quantum statistical mechanics

Emergence of quantum mechanics from a sub-quantum statistical mechanics

Sub-Quantum Thermodynamics as a Basis of Emergent Quantum Mechanics

Extreme beam attenuation in double-slit experiments: Quantum and subquantum scenarios

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