– Prelim. 4th edtn. (Feb 01): www.time-direction.de
The third (1999) edition of the Direction of Time oﬀered far more revisions and additions than the second one in 1992. During the seven years in between, several ﬁelds of research related to the arrow of time had shown remarkable progress. For example, decoherence proved to be the most ubiquitous manifestation of the quantum arrow, while articles on various interpretations of quantum theory (many of them with inbuilt time-asymmetric dynamical aspects) can and do now regularly appear in reputed physics journals. Therefore, most parts of Chap. 4 were completely rewritten and some new sections added, while the second part of Chap. 3 was aﬀected by these changes in order to prepare for the discussion of measurements and dynamical maps within the framework of classical ensemble theory. However, all parts of the book have been revised, and some of them completely rewritten, whilst essentially maintaining the book’s overall structure. Some of its new aspects may be listed here: The Introduction now attempts to distinguish rigorously between those time asymmetries which still preserve dynamical determinism, and the various ‘irreversiblities’ (arrows of time proper) which are the subject of this book. In Chap. 2, the concept of forks of causality is contrasted to that of forks of indeterminism (to be used in Chaps. 3 and 4), while the treatment of the radiation reaction of a moving charge (Sect. 2.3) had to be updated. Sects. 3.2–3.4 have been given a new structure, while a discussion of semigroups and their physical meaning has been added to Sect. 3.4. In Chap. 4, only Sects. 4.1 and 4.5 (the former Sect. 4.3 on exponential decay) are not entirely new. In particular, there is now an extended separate Sect. 4.3 on decoherence. Sects. 4.4 (on quantum dynamical maps) and 4.6 (on the time arrow in various interpretations of quantum theory) is now added. In Chap. 5, the... [continues]
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