Henriksson, Andreas
(2019)
On the second law of thermodynamics.
[Preprint]
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Abstract
In this article, it is argued that, given an initial uncertainty in the state of a system, the information possessed about the system, by any given observer, tend to decrease exponentially until there is none left. By linking the subjective, i.e. observer dependent, concepts of information and entropy, the statement of information decrease represent an alternative formulation of the second law of thermodynamics. With this reformulation, the connection between the foundations of statistical mechanics and classical mechanics is clarified. In conclusion, it is argued that concepts such as probability, ergodicity, entropy, as well as the arrow of time, arise naturally as a consequence of the GibbsLiouville theorem in combination with the fact that any given observer of a system do not possess infinite knowledge about the initial conditions of the system.
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