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arXiv:2105.05057

Smeared Gas Transmittance Revisited

Jakub M. Ratajczak

Published May 10, 2021• 0 citations
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Abstract

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.

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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.
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 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.
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.
The quantum principles that establish the energy levels and degeneracies needed to evaluate the partition functions are explored. The uncertainty principle is associated with the dual wave-particle nature of the model used to describe quantized gas particles. The Schroedinger wave equation is presented as a generalization of Maxwell's wave equation; the former applies to all particles while the Maxwell equation applies to the special case of photon particles. The size of the quantum cell in phase space and the representation of momentum as a space derivative operator follow from the uncertainty principle. A consequence of this is that steady-state problems that are space-time dependent for the classical model become only space dependent for the quantum model and are often easier to solve. The partition function is derived for quantized free particles and, at normal conditions, the result is the same as that given by the classical phase integral. The quantum corrections that occur at very low temperatures or high densities are derived. These corrections for the Einstein-Bose gas qualitatively describe the condensation effects that occur in liquid helium, but are unimportant for most practical purposes otherwise. However, the corrections for the Fermi-Dirac gas are important because they quantitatively describe the behavior of high-density conduction electron gases in metals and explain the zero point energy and low specific heat exhibited in this case.