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arXiv:2008.04413 · Results in Physics

The dark form of matter, on optical transmittance of ultra diluted gas

Jakub M. Ratajczak

Published Dec 1, 2020• 5 citations
arXivHTMLPDF

Abstract

The paper proposes a model of optical transmittance of ultra diluted gas taking into account gas particles non-locality, the quantum effect of wave function spreading derived from solving the Schrödinger equation for a free particle. We indicate some quantitative and qualitative consequences of this model. E.g., the optical transmittance of such a gas increases significantly, up to 100%, as compared to the classical predictions. We show the relationship with the classical models by deriving the Beer–Lambert law equation within range of its applicability. The proposed model is applicable to dark and thin interstellar and intergalactic regions, that is, to most of the Universe. In this regard, we indicate a connection with some astrophysical phenomena, including dark matter. We show the impact on interpretations of quantum mechanics. We propose possible experiments and refer to the results of one of them consistent with the predictions of this model.

DOI
10.1016/j.rinp.2020.103674

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The paper proposes a model of optical transmittance of ultra diluted gas taking into account gas particles non-locality, the quantum effect of wave function spreading derived from solving the Schrödinger equation for a free particle. We indicate some quantitative and qualitative consequences of this model. E.g., the optical transmittance of such a gas increases significantly, up to 100%, as compared to the classical predictions. We show the relationship with the classical models by deriving the Beer–Lambert law equation within range of its applicability. The proposed model is applicable to dark and thin interstellar and intergalactic regions, that is, to most of the Universe. In this regard, we indicate a connection with some astrophysical phenomena, including dark matter. We show the impact on interpretations of quantum mechanics. We propose possible experiments and refer to the results of one of them consistent with the predictions of this model.
Abstract The paper proposes a model of optical transmittance of ultra diluted gas taking into account gas particles non-locality, the quantum effect of wave function spreading derived from solving the Schr ̈odinger equation for a free particle. A significant increase in the transmittance of such gas is envisaged as compared to the classical predictions. Some quantitative and qualitative consequences of the model are indicated and falsifying experiments are proposed. The classic Beer-Lambert law equation within range of its applicability is derived from the model. Remarks to some astrophysical phenomena and possible interpretations of Quantum Mechanics are made. An experiment consistent with the predictions of this model is referenced.
Abstract The paper analyzes a model of optical transmittance of ultra-diluted gas, considering gas parti-cles’ non-locality and the quantum effect of their wave function spreading derived from solving the Schrödinger equation for a free particle. The analysis does not depend on a particular form of the wave function, but it assumes the reality of wave function. Among others, we show conserved mass gas clouds may become significantly more transparent than predicted by classic transmittance laws. This unexpected phenomenon is possible because mass conservation is governed by the sum of probabilities , while the Markov chain’s product of probabilities controls the transmittance. Furthermore, we analytically derive the upper limit the closed system transmittance may grow and demonstrate a boundless, open gas cloud transmittance may grow up to 100%. Finally, we show the impact on interpretations of quantum mechanics. The model is naturally applicable in deep space conditions, where the environment is sparse. Furthermore, the model responds to dark matter requirements.
Abstract The paper analyzes a model of optical transmittance of ultra-diluted gas, considering gas parti-cles’ non-locality and the quantum effect of their wave function spreading derived from solving the Schrödinger equation for a free particle. The analysis does not depend on a particular form of the wave function, but it assumes the reality of wave function. Among others, we show conserved mass gas clouds may become significantly more transparent than predicted by classic transmittance laws. This unexpected phenomenon is possible because mass conservation is governed by the sum of probabilities , while the Markov chain’s product of probabilities controls the transmittance. Furthermore, we analytically derive the upper limit the closed system transmittance may grow and demonstrate a boundless, open gas cloud transmittance may grow up to 100%. Finally, we show the impact on interpretations of quantum mechanics. The model is naturally applicable in deep space conditions, where the environment is sparse. Furthermore, the model responds to dark matter requirements.
The paper continues to analyze a model of optical transmittance of ultra diluted gas, taking into account gas particles' non-locality and the quantum effect of their wave function spreading derived from solving the Schrodinger equation for a free particle. Among others, we show conserved mass systems may become more transparent than predicted by classic transmittance laws. This is because mass conservation is governed by the sum of probabilities, while the Markov chain's product of probabilities controls the transmittance. We show why this effect is negligible for ideal gases. We analytically derive the upper limit the closed system transmittance may grow. The analysis does not depend on the selection of a particular form of the particle wave function. We show the impact on interpretations of quantum mechanics. The model is naturally applicable in deep space conditions, where the environment is sparse.
Quantum mechanics has lacked a widely recognized interpretation since its birth. Many of these are still under consideration because interpretations are tough or impossible to disprove experimentally. We show how to distinguish experimentally ones assuming tiny, localized particles from those postulating realistic, non-local wave functions. It is possible thanks to a recently developed model of optical transmittance of ultra-diluted gas. This model considers the influence of each gas particle wave function on transmitted light. Its quantitative predictions are not indifferent to the interpretation of quantum mechanics. We also refer to the results of a recent experiment founded on this theory. They are in line with the predictions, which suggests the correctness of the model. Such results, if confirmed, rule out interpretations of the type of pilot-wave. In the paper, we briefly explain both the experiment and the model it is founded on. We also discuss the meaning of the Born rule.
We study the dilute and ultracold unitary Bose gas, characterized by a universal equation of state due to the diverging s-wave scattering length, under a transverse harmonic confinement. From the hydrodynamic equations of superfluids we derive an effective one-dimensional nonpolynomial Schrödinger equation (1D NPSE) for the axial wavefunction which, however, also takes into account the transverse wavefunction. By solving the 1D NPSE we obtain meaningful analytical formulas for the dark (gray and black) solitons of the bosonic system.