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Cambridge University Press eBooks

Implications for Solving the Measurement Problem

Shan Gao

Published Jan 1, 2017• 0 citations
Publisher
DOI
10.1017/9781316407479.009

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In this chapter we shall consider one of the most difficult problems of quantum mechanics, that is, how it is possible that we have a dynamics ruled by a reversible equation but we obtain random irreversible events when measuring. Many different interpretations have been provided for solving this puzzle. We will discuss some of them by starting with the von Neumann’s projection postulate, one of the first attempts to address the measurement problem and its implications. The role played by the environment in the concept of measurement is then emphasized. We shall also introduce entropy as a measure of the average information content. Finally, the famous Schro¨dinger’s cat paradox will be examined.
The logical foundations of Bell's inequality are reexamined. We argue that the form of the reality condition that underpins Bell's inequality comes from the requirement of solving the quantum measurement problem. Hence any violation of Bell's inequality necessarily implies nonlocality because of the measurement problem. The differences in the implications of deterministic and stochastic formulations of Bell's inequality are highlighted. The reality condition used in Bell's inequality is shown to be a generalisation of Einstein's later form of realism.