2007/02/06 by Vadim V. Asadov, Asadov, Vadim V., Oleg V. Kechkin +1
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Mechanics and Applications #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0702047
7 pages
arxiv created 2007/02/06 · openalex publication_date 2007/02/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present a relativistic quantum mechanics of a point mass with absolute thermodynamic time and temperature, combined to a single complex parameter of evolution. In this theory, the geometric time is introduced as one of space-time coordinates; it does not coincide with the thermodynamic time on the kinematical level. It is established, that the theory allows a consistent dynamics with nontrivial probability density at the limit ℏ→ 0. We identify this dynamics with the classical one, and prove its relativistic invariance. It is shown, that the thermodynamical time becomes proportional to the proper time of the point mass in the conventional classical regime of its evolution with the delta-functional distribution of the probability density.