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| related topics |
| {observables, space, algebra} |
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On Reichenbach's common cause principle and Reichenbach's notion of
common cause
G. Hofer-Szabo, M. Redei, L. E. Szabo
abstract: It is shown that, given any finite set of pairs of random events in a Boolean
algebra which are correlated with respect to a fixed probability measure on the
algebra, the algebra can be extended in such a way that the extension contains
events that can be regarded as common causes of the correlations in the sense
of Reichenbach's definition of common cause. It is shown, further, that, given
any quantum probability space and any set of commuting events in it which are
correlated with respect to a fixed quantum state, the quantum probability space
can be extended in such a way that the extension contains common causes of all
the selected correlations, where common cause is again taken in the sense of
Reichenbach's definition. It is argued that these results very strongly
restrict the possible ways of disproving Reichenbach's Common Cause Principle.
- oai_identifier:
- oai:arXiv.org:quant-ph/9805066
- categories:
- quant-ph math-ph math.MP math.PR
- comments:
- 15 pages, LaTeX
- arxiv_id:
- quant-ph/9805066
- report_no:
- Eotvos-HPS 98-1
- created:
- 1998-05-21
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