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The Interpretation of Quantum Mechanics, 2

G Shan

Published Jul 2, 1999• 0 citations
OpenAlex

Abstract

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.

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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.
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.
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 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 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.
This thesis is an attempt to reconstruct the conceptual foundations of quantum mechanics. First, we argue that the wave function in quantum mechanics is a description of random discontinuous motion of particles, and the modulus square of the wave function gives the probability density of the particles being in certain locations in space. Next, we show that the linear non-relativistic evolution of the wave function of an isolated system obeys the free Schrödinger equation due to the requirements of spacetime translation invariance and relativistic invariance. Thirdly, we argue that the random discontinuous motion of particles may lead to a stochastic, nonlinear collapse evolution of the wave function. A discrete model of energy-conserved wavefunction collapse is proposed and shown to be consistent with existing experiments and our macroscopic experience. In addition, we also give a critical analysis of the de Broglie-Bohm theory, the many-worlds interpretation and dynamical collapse theories, and briefly analyze the problem of the incompatibility between quantum mechanics and special relativity.
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.