The Problem of Measurement and Probability in Collapse and Non-Collapse Interpretations of Quantum Mechanics

The interpretive problem in quantum mechanics that arises from the Born rule motivates two well-known stances, namely those which regard either a wave function collapse or the universal validity of the Schršdinger equation. The differences and resulting conflicting viewpoints on the nature and application of quantum mechanics of these stances is especially seen in their use of probability, which in quantum mechanics is introduced in the formalism and is primarily associated with measurements. As such, I will provide an up-to-date analysis of the most important collapse and non-collapse interpretations, by focussing specifically on their approach to measurements and their use of probability. Accordingly, their different uses of these concepts will be compared and will be placed in context of quantum physics as a whole.