Geneza prawdopodobieństwa

• Authors: Michał Heller

Title variants

EN

The origin of probability

• Languages of publication: PL

Abstracts

PL

After briefly reviewing classical and quantum aspects of probability, basic concepts of the noncommutative calculus of probability (called also free calculus of probability) and its possible application to model the fundamental level of physics are presented. It is shown that the pair (M, *), where M is a (noncommutative) von Neumann algebra, and a state on it, is both a dynamical object and a probabilistic object. In this way, dynamics and probability can be unified in noncommutative geometry. Some philosophical consequences of such an approach are indicated.

Keywords

PL

probability theory; dynamics; noncommutative geometry; free calculus of probability; classical probability; quantum probability

• Publisher: Copernicus Center Press
• Journal: Zagadnienia Filozoficzne w Nauce
• Year: 2006
• Issue: 38
• Pages: 61-75

Dates

published

2006-06-07

Contributors

author

Michał Heller