Two Types of Temporal Symmetry in the Laws of Nature
arXiv:2506.15730 · doi:10.3390/e27050466
Abstract
This work explores the implications of assuming time symmetry and applying bridge-type, time-symmetric temporal boundary conditions to deterministic laws of nature with random components. The analysis, drawing on the works of Kolmogorov and Anderson, leads to two forms of governing equations, referred to here as symmetric and antisymmetric. These equations account for the emergence of characteristics associated with conventional thermodynamics, the arrow of time, and a form of antecedent causality. The directional properties of time arise from the mathematical structure of Markov bridges, without requiring any postulates that impose a preferred direction of time.
22 pages 2 figures
References in corpus (3)
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- One antimatter --- two possible thermodynamics
- Symmetric and antisymmetric forms of the Pauli master equation (for interaction of matter and antimatter quantum states)