The Sp(1)-Kepler problems
Let n2 be a positive integer. To each irreducible representation of Sp(1), an Sp(1)-Kepler problem in dimension (4n−3) is constructed and analyzed. This system is superintegrable, and when n=2 ...
Let n2 be a positive integer. To each irreducible representation of Sp(1), an Sp(1)-Kepler problem in dimension (4n−3) is constructed and analyzed. This system is superintegrable, and when n=2 ...
On a classification of irreducible almost-commutative geometries V
We extend a classification of irreducible almost-commutative geometries, whose spectral action is dynamically nondegenerate, to internal algebras that have six simple summands. We find essentially fou...
We extend a classification of irreducible almost-commutative geometries, whose spectral action is dynamically nondegenerate, to internal algebras that have six simple summands. We find essentially fou...
Many worlds and modality in the interpretation of quantum mechanics: An algebraic approach
J. Math. Phys. 50, 072108 (2009); doi:10.1063/1.3177454
Published 31 July 2009
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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.
©2009 American Institute of Physics
| History: | Received 26 August 2008; accepted 25 June 2009; published 31 July 2009 |
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http://link.aip.org/link/?JMAPAQ/50/072108/1 |
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