Abstract
Two fundamental aspects of nature are: (1) relativistic symmetry under frame transformations, and (2) time irreversibility of complex, dynamical systems. In this paper we first examine the relativistic transformation theory of some complex, dynamical systems encountered in ergodic theory; specifically, we prove that ergodic flows, mixing flows and K-flows are all relativistic invariants. Similarly, we examine the relativistic symmetry of the Brussels School's “microscopic theory of irreversibility”, and show that this theory of irreversibility is compatible with the basic tenets of special relativity.
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