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arXiv:physics/9907001

The Interpretation of Quantum Mechanics (I)

Shan, Gao

Published Jul 1, 1999• 0 citations
arXivHTMLPDF

Abstract

Aiming at providing an objective motion picture for the microscopic object described by the wave function, new analysis about motion is presented by use of the point set theory in mathematics, through which we show that a new kind of motion named quantum discontinuous motion is the general motion mode of the particle, while classical continuous motion is just one kind of extremely peculiar motion, and the wave function in quantum mechanics proves to be the very mathematical complex describing the particle undergoing the quantum discontinuous motion. Furthermore, Schroedinger equation of the wave function is shown to be the simplest nonrelativistic evolution equation for the particle undergoing the new motion, and the consistent axiom system of quantum mechanics is also deduced out. At last, we demonstrate that present quantum measurement theories just confirm the existence of the new motion of the microscopic particle described by the wave function, and the weird displays of the wave function in microscopic world are also physically explained in terms of the new motion.

DOI
10.48550/arxiv.physics/9907001

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Aiming at providing an objective motion picture for the microscopic object described by the wave function, new analysis about motion is presented by use of the point set theory in mathematics, through which we show that a new kind of motion named quantum discontinuous motion is the general motion mode of the particle, while classical continuous motion is just one kind of extremely peculiar motion, and the wave function in quantum mechanics proves to be the very mathematical complex describing the particle undergoing the quantum discontinuous motion. Furthermore, Schroedinger equation of the wave function is shown to be the simplest nonrelativistic evolution equation for the particle undergoing the new motion, and the consistent axiom system of quantum mechanics is also deduced out. At last, we demonstrate that present quantum measurement theories just confirm the existence of the new motion of the microscopic particle described by the wave function, and the weird displays of the wave function in microscopic world are also physically explained in terms of the new motion.
We present a theory of discontinuous motion of particles in continuous space-time. We show that the simplest nonrelativistic evolution equation of such motion is just the Schroedinger equation in quantum mechanics. This strongly implies what quantum mechanics describes is discontinuous motion of particles. Considering the fact that space-time may be essentially discrete when considering gravity, we further present a theory of discontinuous motion of particles in discrete space-time. We show that its evolution may naturally result in the dynamical collapse process of the wave function, and this collapse will bring about the appearance of continuous motion of objects in the macroscopic world.
We present a theory of discontinuous motion of particles in continuous space-time. We show that the simplest nonrelativistic evolution equation of such motion is just the Schrodinger equation in quantum mechanics. This strongly implies what quantum mechanics describes is discontinuous motion of particles. Considering the fact that space-time may be essentially discrete when considering gravity, we further present a theory of discontinuous motion of particles in discrete space-time. We show that its evolution will naturally result in the dynamical collapse process of the wave function, and this collapse will bring about the appearance of continuous motion of objects in the macroscopic world.
We present a theory of discontinuous motion of particles in continuous space-time. We show that the simplest nonrelativistic evolution equation of such motion is just the Schroedinger equation in quantum mechanics. This strongly implies what quantum mechanics describes is discontinuous motion of particles. Considering the fact that space-time may be essentially discrete when considering gravity, we further present a theory of discontinuous motion of particles in discrete space-time. We show that its evolution will naturally result in the dynamical collapse process of the wave function, and this collapse will bring about the appearance of continuous motion of objects in the macroscopic world.
We show that the natural motion of particles in continuous space-time (CSTM) is not classical continuous motion (CCM), but one kind of essentially discontinuous motion, the wave function in quantum mechanics is the very mathematical complex describing this kind of motion, and Schrodinger equation is just its simplest nonrelativistic motion equation, we call such motion quantum discontinuous motion or quantum motion; furthermore, we show that, when considering gravity the space-time will be essentially discrete, and the motion in discrete space-time (DSTM) will naturally result in the collapse process of the wave function, this finally brings about the appearance of classical continuous motion (CCM) in macroscopic world.
We discuss a new realistic interpretation of quantum mechanics based on discontinuous motion of particles. The historical and logical basis of discontinuous motion of particles is given. It proves that if there exists only one kind of physical reality--particles, then the realistic motion of particles described by quantum mechanics should be discontinuous motion. We further denote that protective measurement may provide a direct method to confirm the existence of discontinuous motion of particles.
Aiming at providing an objective picture for the collapse process of wave function during measurement, further analysis about the quantum discontinuous motion is presented, when considering general relativity we show that the new motion is essentially replaced by the quantum jump motion, which naturally results in the collapse process of the wave function. Furthermore, a concrete theoretical model is given to interpret the collapse process quantitatively, and the coincidence between its theoretical prediction and the experimental evidences is also discussed. At last, the possibility to confirm the collapse model is analyzed.