Measurement and Macroscopic Quantities

Dissertation, University of Illinois at Chicago (1993)
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Abstract

The apparent ineffectuality of quantum physics to reconcile its evolution rule with measurement phenomena has polarized the community of scholars working on the subject into, roughly, two sorts of camps. On the one side there are those who perceive the problem to be that of finding an interpretation of the conceptual structures of quantum theory whereon the two elements can be reconciled without having to revise the canonical understanding of either. On the other side are those who see measurement phenomena as posing a challenge: the challenge of revising either the canonical equation or its canonical application in such a way that no conflict arises between it and laboratory data. ;This dissertation focuses on proposals of the latter sort. The centerpiece of the thesis is a reinterpretation of the Theory of Macrosystems of Daneri, Loinger and Prosperi. I show that this theory is most charitably interpreted as a proposal for reconciling measurement phenomena, not so much with Schrodinger dynamics, but rather with a constraint on the evolution map. It is, in other words, an account of how measurement phenomena is consistent with a certain set of dynamical behaviors. The focus on behaviors rather than equations and their solutions is characteristic of recent approaches to studying phenomena in classical contexts, both of phenomena to do with the approach to equilibrium and in situations involving far-from-equilibrium phenomena. The focus on behaviors is motivated by recognition that equations of motion for microscopic subcomponents of many-body systems do not wear on their countenances anything useful about the macroscopic behaviors of the systems they collectively describe--and are, in addition, virtually unsolvable. Therefore it profits an investigator to do without microscopic equations of motion in analyzing phenomena. The Theory of Macrosystems likewise "does without" equations of motion; I show that the account it gives is independent of closed-form rules of evolution. For this reason I call it an agnostic solution to the measurement problem--and show that this is an altogether different approach to the problem than any other so far conceived

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