THERMODYNAMIC IRREVERSIBILITY AND THE ARROW OF TIME

摘要

In this article, a topological perspective will be used to establish the long sought for, non-statistical, connection between dynamic mechanical systems, thermodynamic irreversibility, and the arrow of time. In effect, it will be demonstrated that the Boltzmann paradox can be resolved in terms of Continuous Topological Evolution, which differs from classical geometric theories of Continuous Evolution without topological change. Consider the definitions: 1. Causal evolution is defined as a map of C1 functions from a domain of base variables to a unique range of base variables. The maps may be many to one and are not necessarily homeomorphisms. 2. Prediction implies that well behaved functional forms (not just numeric point data) on the range of base variables can be deduced from functional forms defined on the domain of base variables. 3. Retrodiction implies that functional forms on the domain can be deduced from functional forms on the range.