Many worlds and modality in the interpretation of quantum mechanics: An algebraic approach

被引：4

作者：

Domenech, G. ^{[1
,3
]}

Freytes, H. ^{[2
,5
]}

de Ronde, C. ^{[3
,4
]}

机构：

[1] Inst Astron & Fis Espacio, RA-1428 Buenos Aires, DF, Argentina

[2] Univ Cagliari, I-09123 Cagliari, Italy

[3] Vrije Univ Brussels, Ctr Leo Apostel, CLEA, B-131160 Brussels, Belgium

[4] Free Univ Brussels, Fdn Exact Sci, FUND, B-1160 Brussels, Belgium

[5] Consejo Nacl Invest Cient & Tecn, IAM, Inst Argentino Matemat, RA-1033 Buenos Aires, DF, Argentina

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2009年 / 50卷 / 07期

关键词：

Hilbert spaces; measurement theory; quantum theory; RELATIVE STATE FORMULATION;

D O I：

10.1063/1.3177454

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Many world interpretations (MWIs) of quantum mechanics avoid the measurement problem by considering every term in the quantum superposition as actual. A seemingly opposed solution is proposed by modal interpretations (MIs) which state that quantum mechanics does not provide an account of what "actually is the case," but rather deals with what "might be the case," i.e., with possibilities. In this paper we provide an algebraic framework which allows us to analyze in depth the modal aspects of MWI. Within our general formal scheme we also provide a formal comparison between MWI and MI, in particular, we provide a formal understanding of why-even though both interpretations share the same formal structure-MI fall pray of Kochen-Specker-type contradictions while MWI escape them.

引用

页数：8

共 14 条

[1] In defence of the self-location uncertainty account of probability in the many-worlds interpretation
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[2] A pedestrian approach to the measurement problem in quantum mechanics
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[6] What’s Wrong with Einstein’s 1927 Hidden-Variable Interpretation of Quantum Mechanics?
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[7] Quantum mechanics on Riemannian manifold in Schwinger's quantization approach I
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[8] The Return of Realism in the Logos Approach to Quantum Mechanics (Reply to Arroyo and Arenhart)
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[9] The algebraic and geometric approaches to PJ-symmetric non-Hermitian relativistic quantum mechanics with maximal mass
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Moscow University Physics Bulletin, 2014, 69 : 223 - 229
[10] The algebraic and geometric approaches to PJ-symmetric non-Hermitian relativistic quantum mechanics with maximal mass
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Kravtsova, G. A.
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