Doctoral thesis Interpreting Quantum Mechanics in Terms of Random Discontinuous Motion of Particles pdf


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Doctoral thesis Interpreting Quantum Mechanics in Terms of Random Discontinuous Motion of Particles pdf

Doctoral thesis Interpreting Quantum Mechanics in Terms of Random Discontinuous Motion of Particles pdf

Pages 98

By Shan Gao

THESIS : submitted for the degree of Doctor of Philosophy

Supervisors: Dr. Dean Rickles
Prof. Huw Price
University of Sydney
Sydney, Australia

This thesis is dedicated to Erwin Schr¨odinger, who introduced the wave function, discovered its equation named after him, and argued that quantum mechanics is incomplete by his famous cat paradox.

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 Schr¨odinger 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 analyze the problem of the incompatibility between quantum mechanics and special relativity.

Shan_Gao_-_PhD_thesis


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