PL EN


Journal
2004 | 12 | 1 | 7-17
Article title

Noncommutative Unification of Dynamics and Probability

Authors
Content
Title variants
PL
Nieprzemienna unifikacja dynamiki i prawdopodobieństwa
EN
Noncommutative Unification of Dynamics and Probability
Languages of publication
PL
Abstracts
PL
Noncommutative geometry is quickly developing branch of mathematics finding important application in physics, especially in the domain of the search for the fundamental physical theory. It comes as a surprise that noncommutative generalizations of probabilistic measure and dynamics are unified into the same mathematical structure, i.e., noncommutative von Neumann algebra with a distinguished linear form on it. The so-called free probability calculus and the Tomita-Takesaki theorem, on which this unification is based, are briefly presented. It is argued that the unitary evolution, known from quantum mechanics, could be a trace of noncommutativity on a deeper level. Philosophical significance of these results is also discussed.
Keywords
Journal
Year
Volume
12
Issue
1
Pages
7-17
Physical description
Dates
published
2004-03-01
Contributors
References
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.ojs-issn-2657-5868-year-2004-volume-12-issue-1-article-382
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