Probability of stochastic processes and spacetime geometry
arXiv:physics/0610211 · doi:10.1016/j.physa.2006.08.072
Abstract
We made a first attempt to associate a probabilistic description of stochastic processes like birth-death processes with spacetime geometry in the Schwarzschild metrics on distance scales from the macro- to the micro-domains. We idealize an ergodic system in which system states communicate through a curved path composed of transition arrows where each arrow corresponds to a positive, analogous birth or death rate.
arXiv commentto appear Physica A (2007)
References in corpus (6)
- The universe seen at different scales
- Test of multiscaling in DLA model using an off-lattice killing-free algorithm
- A (reactive) lattice-gas approach to economic cycles
- The Minkowski metric in non-inertial observer radar coordinates
- Searching for a solution to the cosmological constant problem - a toy model
- Elementary particles under the lens of the black holes