A discussion on a dynamic vacuum model: Derivation of Helmholtz equation from Schrödinger equation

White, Harold; Bailey, Paul; Lawrence, James T.; George, Jeffrey A.; Vera, Jerry

doi:10.1016/j.physo.2019.100009

Cited by 11 publications

(12 citation statements)

References 4 publications

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“…We think that our proposal could explain dynamically and deterministically the origin of quantum statistics and its connection with vacuum fluctuations and vacuum friction forces, as has been recently explored by some authors [8,9]. We want to remark that since the early researches of Planck and the subsequent alternative approach of Einstein, De Broglie, Schrodinger and Bohm against the Copenhagen interpretation of Quantum Mechanics, no model, as far as we know, has been proposed till now for explaining dynamically the origin of the Planck energy formula hv = .…”

Section: Modelmentioning

confidence: 60%

A Hidden Variable Model of Unstable Quantum States

G¹

2021

PSBJ

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We discuss the old problem of atom stability and atomic spontaneous emission, which was studied from Einstein introducing the idea of photon which was exploited by Bohr for its subsequent atomic model and its postulate of atomic quantum jumps. We expose then briefly the first historical model of unstable particles elaborated from Gamow which was based on the hypothesis of a constant lifetime describing the decaying process of unstable particles; we discuss then the relevance of this topic for our critique to the existence of hypothetical individual stationary atomic states. We propose a dynamic deterministic alternative approach to quantum unstable states and we suggest a possible alternative justification of Bohr formula of quantized energy spectra of the hydrogen atom. We assume that each atom is an open state that it is continuously radiating and interacting with the other accelerated atoms and that the stationary atomic spectra are an emergent effect caused by the equilibrium with the real electromagnetic pilot wave. We suggest consequently that the hydrogen gas is, with respect to each atom, an effective space time dependent polarized medium with a hidden variable light speed. We generalize the classical formula of spontaneous emission of Einstein and that one of Gamow substituting the standard light speed with a space dependent one.Finally we attempt to extend this approach to every atomic states and we propose a dynamical model of stationary quantum states that could allow to explain atomic stability and deduce dynamically the Bohr formula.

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Section: Modelmentioning

confidence: 60%

A Hidden Variable Model of Unstable Quantum States

G¹

2021

PSBJ

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“…We want to remind once more that till now every Bell tests have been conceived for presumed isolated stable systems, disregarding gravity induced vacuum entanglement [18] and the dynamic decoherence effect due to time dependent background fields. On the contrary, we believe, as suggested recently by some authors [19] [20], that it is necessary to look for hidden variable models of vacuum fluctuations (and its coupling with the apparatus)and to speculate on infinite dimensional generalizations of Bell's Theorem for unstable particles viewed as excitation states of unstable vacuum, exploiting the new concept of dynamic vacuum [21]. Therefore we hope that our tentative proposal will stimulate researchers to go beyond the abstract formalism of Quantum Mechanics used so far for describing the spin of extended accelerated nucleons and nuclei as quantized eigenvalues of non-commutating operators and will be useful for describing more generally the entanglement of quantum systems in non inertial frames [22].…”

Section: Modelmentioning

confidence: 99%

A Path Integral Generalization of Bell Local Hidden Variable Models for Unstable Particles

Bei¹

2021

JAMP

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We discuss the problem of the generalization of Bell local hidden variable models for unstable particles as nucleons or decaying quantum bound states. We propose to extend the formalism of real deterministic hidden variables in the complex domain, in analogy with the quantum Gamow ket formalism, and we introduce a time dependent classical probability density distribution by which we implement hidden time dependence in the quantum expectation values. We suggest therefore a classical framework which may recover by asymptotic temporal limits the standard Bell stationary quantum statistical averages. Endly we discuss the possible relevance of our proposal for general non-isolated quantum systems in noninertial frames and the consequent dynamic effects of vacuum instabilities on E.P.R tests and Q.M. ensemble statistical averages.

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“…The structure predicted to be manifest in the cavity takes the form of a larger magnitude negative vacuum energy density concentrated along the cavity mid-plane that relaxes non-linearly to the unperturbed state at the cavity boundaries. Based on detailed studies of the atomic orbitals of the hydrogen atom, and deriving the acoustic wave equation from the Schrödinger equation [1,2], it is speculated that the energy density structure in a Casimir cavity is coupled to a small polarization field in the vacuum fluctuations resulting in a small but non-zero electrostatic field originating along the cavity mid-plane and terminating at the grounded cavity walls. It has been further reasoned in the literature that it may be possible to construct a customized Casimir cavity equipped with small pillars placed at the mid-plane as depicted in Fig.…”

Section: Introductionmentioning

confidence: 99%

Worldline numerics applied to custom Casimir geometry generates unanticipated intersection with Alcubierre warp metric

White¹,

Vera²,

Han

et al. 2021

Eur. Phys. J. C

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While conducting analysis related to a DARPA-funded project to evaluate possible structure of the energy density present in a Casimir cavity as predicted by the dynamic vacuum model, a micro/nano-scale structure has been discovered that predicts negative energy density distribution that closely matches requirements for the Alcubierre metric. The simplest notional geometry being analyzed as part of the DARPA-funded work consists of a standard parallel plate Casimir cavity equipped with pillars arrayed along the cavity mid-plane with the purpose of detecting a transient electric field arising from vacuum polarization conjectured to occur along the midplane of the cavity. An analytic technique called worldline numerics was adapted to numerically assess vacuum response to the custom Casimir cavity, and these numerical analysis results were observed to be qualitatively quite similar to a two-dimensional representation of energy density requirements for the Alcubierre warp metric. Subsequently, a toy model consisting of a 1 $$\upmu $$ μ m diameter sphere centrally located in a 4 $$\upmu $$ μ m diameter cylinder was analyzed to show a three-dimensional Casimir energy density that correlates well with the Alcubierre warp metric requirements. This qualitative correlation would suggest that chip-scale experiments might be explored to attempt to measure tiny signatures illustrative of the presence of the conjectured phenomenon: a real, albeit humble, warp bubble.

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A discussion on a dynamic vacuum model: Derivation of Helmholtz equation from Schrödinger equation

Cited by 11 publications

References 4 publications

A Hidden Variable Model of Unstable Quantum States

A Hidden Variable Model of Unstable Quantum States

A Path Integral Generalization of Bell Local Hidden Variable Models for Unstable Particles

Worldline numerics applied to custom Casimir geometry generates unanticipated intersection with Alcubierre warp metric

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