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How does the Quantum-Mechanical Description can be Completed?

T. F. Kamalov

Published Dec 24, 2002• 0 citations
OpenAlex

Abstract

In this study, we try to complement the theory with de-Broglie's idea on wave-pilot and Sakharov's hypothesis on gravitational fluctuations to convert the Method of Indirect Computation into the Comprehensive Quantum Theory. We assume that de-Broglie's wave-pilots are gravitational stochastic ones, and we shall regard micro-objects and test particles as being subject to the influence of such de-Broglie's waves. This role can be played by classical gravitational fields and waves (i.e. Gravity Background) generated by external objects. It has been shown that such stochastic gravitational fields and waves bring about mechanical wave-type fluctuations of a classical test particle. These classical particles in the course of measurements of their coordinates appear smeared in space, and these can described by quantum-mechanical wave functions. And these classical mechanical fluctuations correspond to the quantum mechanical wave function.

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In this study, we try to complement the theory with de-Broglie's idea on wave-pilot and Sakharov's hypothesis on gravitational fluctuations to convert the Method of Indirect Computation into the Comprehensive Quantum Theory. We assume that de-Broglie's wave-pilots are gravitational stochastic ones, and we shall regard micro-objects and test particles as being subject to the influence of such de-Broglie's waves. This role can be played by classical gravitational fields and waves (i.e. Gravity Background) generated by external objects. It has been shown that such stochastic gravitational fields and waves bring about mechanical wave-type fluctuations of a classical test particle. These classical particles in the course of measurements of their coordinates appear smeared in space, and these can described by quantum-mechanical wave functions. And these classical mechanical fluctuations correspond to the quantum mechanical wave function.
If the statement by Einstein, Podolsky and Rosen on incompleteness of Quantum-Mechanical description of nature is correct, then we can regard Quantum Mechanics as a Method of Indirect Computation. The problem is, whether the theory is incomplete or the nature itself does not allow complete description? And if the first option is correct, how is it possible to complete the Quantum-Mechanical description? Here we try to complement de-Broglie's idea on wave-pilot the stochastic gravitation gives origin to. We assume that de-Broglie's wave-pilots are gravitational stochastic ones, and we shall regard micro-objects as test classical particles being subject to the influence of de-Broglie's waves stochastic gravitation.
The Copenhagen interpretation has been the subject of much criticism, notably by De Broglie and Einstein, because it contradicts the principles of causality and realism. The aim of this essay is to study the wave mechanics as an alternative to traditional quantum mechanics, in the continuity of the ideas of Louis de Broglie: the pilot wave theory of De Broglie (where each particle is associated with a wave which guides it), De Broglie-Bohm theory, stochastic electrodynamics (where the stochastic character of particles is caused by the energy field of the fluctuating vacuum), and the analogies between quantum mechanics and hydrodynamics.
According to De Broglie's idea of analogy, the relation between quantum mechanics and classical mechanics is similar to that between wave optics and geometric optics, we have given the quantum equation of the gravitational field intensity Eg(r⃗,t)E_g(\vec{r},t)Eg​(r,t) for matter particles, since the gravitational field intensity Eg(r⃗,t)E_g(\vec{r},t)Eg​(r,t) relatives to the particle position distribution function ψ(r⃗,t)ψ(\vec{r},t)ψ(r,t), the quantum equation convert into the Schrodinger equation. In addition, we have further studied the essence and origin of quantum theory, and obtained some new results.
In 1957 H. Everett published a paper setting out what seemed to be a radically new interpretation of quantum mechanics. His approach has recently received increasing attention. He did not refer to the ideas of de Broglie of thirty years before nor to the intervening elaboration of those ideas by Bohm. Yet it will be argued here that the elimination of arbitrary and inessential elements from Everett's theory leads back to, and throws new light on, the concepts of de Broglie. Everett was motivated by the notion of a quantum theory of gravitation and cosmology. In a thoroughly quantum cosmology, a quantum mechanics of the whole world, the wave function of the world could not be interpreted in the usual way. For this usual interpretation refers only to the statistics of measurement results for an observer intervening from outside the quantum system. When that system is the whole world, there is nothing outside. This situation presents no particular difficulty for the traditional (or ‘Copenhagen’) philosophy, which holds that a classical conception of the macroscopic world is logically prior to the quantum conception of the microscopic. The microscopic world is described by wave functions which are determined by and have implications for macroscopic phenomena in experimental set-ups.