Probability of stochastic processes and spacetime geometry

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.

to appear Physica A (2007)

References in corpus (2)

• The universe seen at different scales
• The Minkowski metric in non-inertial observer radar coordinates

Cited by in corpus (1)

• Possible Connection between Probability, Spacetime Geometry and Quantum Mechanics