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The measure cone: Irreversibility as a geometrical phenomenon
Author(s) -
Busch Paul,
Ruch Ernst
Publication year - 1992
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560410115
Subject(s) - measure (data warehouse) , generality , cone (formal languages) , space (punctuation) , mixing (physics) , statistical physics , phenomenon , physics , theoretical physics , interpretation (philosophy) , mathematics , geometry , classical mechanics , mathematical analysis , quantum mechanics , computer science , algorithm , psychology , database , psychotherapist , programming language , operating system
The statistical state space is discussed in terms of the geometry of normed real vector spaces with particular reference to the novel concept of direction distance. Specialization to the geometry of the measure cone and the correspondingly specialized concept of mixing distance suggest strong mutual relationship as is shown subsequently in physically required generality. Thereby, the phenomenon of irreversibility attains an interpretation that seems to be the canonical mathematical background for classical and nonclassical statistical physics.