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Interpreting Quantum Mechanics in Terms of Random Discontinuous Motion of Particles

Gao, Shan (2011) Interpreting Quantum Mechanics in Terms of Random Discontinuous Motion of Particles. [Preprint]

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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 other dynamical collapse theories, and briefly discuss the issue of unifying quantum mechanics and special relativity.

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Item Type: Preprint
Additional Information: PhD thesis
Keywords: wave function, Schrödinger's equation, wavefunction collapse, random discontinuous motion of particles, de Broglie-Bohm theory, many-worlds interpretation, dynamical collapse theories
Subjects: General Issues > Determinism/Indeterminism
General Issues > Philosophers of Science
Specific Sciences > Physics > Quantum Mechanics
Depositing User: Mr. Shan Gao
Date Deposited: 07 Jan 2012 12:59
Last Modified: 07 Jan 2012 12:59
Item ID: 8987

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