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Bergson's Time and the Time Operator

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Bergson's views on time are supported by the time operator qualifying complex systems with a concept of time that is essentially difierent from the clock time used to register the events. Irreversibility, unpredictability, and innovation characterize complex systems in contrast with the reversibility, predictability and lack of novelties of the regular motions of integrable systems. The idea for this work came from our teacher Ilya Prigogine who pointed out repeatedly that the time operator actually incorporates Bergson's views on time. We construct a time operator which incorporates Bergson's intuitive views on durations, indeterminism, innovations and irreversibility and the significance of events in terms of inno- vation and aging. In addition, Bergson emphasized that the signif- icance of durations depends on consciousness and memory, a discussion beyond the proposed time operator. Moreover we discuss the relation of Bergson's time with the internal time concepts of Husserl and Heidegger.

Document Type: Research Article

Affiliations: Mathematics Department Aristotle University, Thessaloniki, Greece

Publication date: January 1, 2010

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