As a part of my book “Tiden är ett barn”, which was published in 2022, I have written twelve scientific articles in physics. They can be considered as a further development of the work of physicists as Satosi Watanabe and philosophers of science Elliott Sober, Frank Arntzeius and Andrew Holster. The texts in physics are following in foot steps of the physicist Satosi and the philosophers of science Frank Arntzenius, Elliott Sober and Andrew Holster. Since some of them are quite technical, these texts are directed to advanced and technically advanced readers. Originally, they were intended to be published on the data base arXiv around 2005-2010, but since I had no one who could give the endorsement that was required, they had to wait for publication until the book was ready. During the years, the articles have been refined and updated. For a short description of the book, click on this link.
Appendix I. Time reversal invariance and asymmetry in probability based laws.
Appendix II. A proposed law for statistical time asymmetry.
Appendix III. Derivation of a probability distribution function for time-continuous Markov processes.
Appendix IV. Derivation of rate equations from time-directed probabilities of individual particles.
Appendix V. Time asymmetry in macroscopic stochastic processes.
Appendix VI. Probabilistic time asymmetry in quantum mechanical processes.
Appendix VII. The influence of boundary conditions on a probabilistic evolution governed by time symmetrical laws.
Appendix VIII. Statistical entropy difference.
Appendix IX. Statistical entropy difference in disequilibrium chemical processes.
Appendix X. A sketchy derivation of the Equilibrium Principle from a modified ‘Past Hypothesis’.
Appendix XI. Derivation of a relation between volumes and the number of molecules in a spontaneously expanding ideal gas.
Appendix XII. Stoßzahlansatz revisited: How law-like time asymmetry in statistical mechanics manifests itself.