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Interpreting QM∞: Some Options

Laura Ruetsche

in Interpreting Quantum Theories

Published in print:
2011
Published Online:
September 2011
ISBN:
9780199535408
eISBN:
9780191728525
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199535408.003.0006
Subject:
Philosophy, Philosophy of Science

This chapter catalogs interpretative responses to the breakdown of unitary equivalence in QM∞. These range from ‘Hilbert Space Conservatism’ to ‘Algebraic Imperialism’. Maintaining the ordinary ... More


Representation Without Taxation: An Unstrenuous Tour of Algebraic Notions

Laura Ruetsche

in Interpreting Quantum Theories

Published in print:
2011
Published Online:
September 2011
ISBN:
9780199535408
eISBN:
9780191728525
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199535408.003.0004
Subject:
Philosophy, Philosophy of Science

This chapter aspires to be an unpunishing introduction to mathematical notions useful for framing and pursuing foundational questions that arise from the unitary inequivalent representations ... More


Axioms for QM∞

Laura Ruetsche

in Interpreting Quantum Theories

Published in print:
2011
Published Online:
September 2011
ISBN:
9780199535408
eISBN:
9780191728525
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199535408.003.0005
Subject:
Philosophy, Philosophy of Science

This chapter employs the mathematical apparatus developed in Chapter 4 to present several sets of axioms supposed to govern quantum field theory in Minkowski spacetime, quantum field theory in curved ... More


Structure, Modality, and Unitary Inequivalence1

Steven French

in The Structure of the World: Metaphysics and Representation

Published in print:
2014
Published Online:
April 2014
ISBN:
9780199684847
eISBN:
9780191765131
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199684847.003.0011
Subject:
Philosophy, Metaphysics/Epistemology

In this chapter the issue of unitarily inequivalent representations in QFT is examined. This has been raised as a fundamental problem for OSR. Here the issue of arriving at an appropriate ontology of ... More


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