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Inter-Theory Relations in Physics: Case Studies from Quantum Mechanics and Quantum Field Theory (Doctoral Dissertation - University of Oxford, 2013)

Rosaler, Joshua Inter-Theory Relations in Physics: Case Studies from Quantum Mechanics and Quantum Field Theory (Doctoral Dissertation - University of Oxford, 2013). UNSPECIFIED.

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Abstract

I defend three general claims concerning inter-theoretic reduction in physics. First, the popular notion that a superseded theory in physics is generally a simple limit of the theory that supersedes it paints an oversimplified picture of reductive relations in physics. Second, where reduction specifically between two dynamical systems models of a single system is concerned, reduction requires the existence of a particular sort of function from the state space of the low-level (purportedly more accurate and encompassing) model to that of the high-level (purportedly less accurate and encompassing) model that approximately commutes, in a specific sense, with the rules of dynamical evolution prescribed by the models. The third point addresses a tension between, on the one hand, the frequent need to take into account system-specific details in providing a full derivation of the high-level theory’s success in a particular context, and, on the other hand, a desire to understand the general mechanisms and results that under- write reduction between two theories across a wide and disparate range of different systems; I suggest a reconciliation based on the use of partial proofs of reduction, designed to reveal these general mechanisms of reduction at work across a range of systems, while leaving certain gaps to be filled in on the basis of system-specific details.

After discussing these points of general methodology, I go on to demonstrate their application to a number of particular inter-theory reductions in physics involving quantum theory. I consider three reductions: first, connecting classical mechanics and non-relativistic quantum mechanics; second,connecting classical electrodynamics and quantum electrodynamics; and third, connecting non-relativistic quantum mechanics and quantum electrodynamics. I approach these reductions from a realist perspective, and for this reason consider two realist interpretations of quantum theory - the Everett and Bohm theories - as potential bases for these reductions. Nevertheless, many of the technical results concerning these reductions pertain also more generally to the bare, uninterpreted formalism of quantum theory. Throughout my analysis, I make the application of the general methodological claims of the thesis explicit, so as to provide concrete illustration of their validity.


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Item Type: Other
Creators:
CreatorsEmailORCID
Rosaler, Joshuarosaler@post.harvard.edu
Keywords: Reduction, Emergence, Quantum, Classical, Quantum Field Theory, Everett, Bohm, de Broglie-Bohm, Dynamical Systems, Nagel, Schaffner, limits
Subjects: General Issues > Models and Idealization
Specific Sciences > Physics
Specific Sciences > Physics > Quantum Field Theory
Specific Sciences > Physics > Quantum Mechanics
General Issues > Realism/Anti-realism
General Issues > Reductionism/Holism
Specific Sciences > Physics > Relativity Theory
Specific Sciences > Physics > Symmetries/Invariances
Depositing User: Dr. Joshua Rosaler
Date Deposited: 17 Nov 2015 21:17
Last Modified: 17 Nov 2015 21:17
Item ID: 11765
Subjects: General Issues > Models and Idealization
Specific Sciences > Physics
Specific Sciences > Physics > Quantum Field Theory
Specific Sciences > Physics > Quantum Mechanics
General Issues > Realism/Anti-realism
General Issues > Reductionism/Holism
Specific Sciences > Physics > Relativity Theory
Specific Sciences > Physics > Symmetries/Invariances
URI: http://philsci-archive.pitt.edu/id/eprint/11765

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