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...

A general statistical thermodynamic theory that considers given sequences of x-integers to play the role of particles of known type in an isolated elastic system is proposed. By also considering some explicit discrete probability distributions px for natural numbers, we claim that they lead to a...

Following our discussion [E. Canessa, Physica A 375 (2007) 123] to associate an analogous probabilistic description with spacetime geometry in the Schwarzschild metric from the macro- to the micro-domain, we argue that there is a possible connection among normalized probabilities P, spacetime...

We establish an analogy between the motion of spring whose mass increases linearly with time and volatile stock market dynamics within an economic model based on simple temporal demand and supply functions [E. Canessa, J. Phys. A 33 (2000) 3637]. The total system energy Et is shown to be...

A statistical thermodynamic approach of moving particles forming an elastic body is presented which leads to reveal molecular–mechanical properties of classical and nonextensive dynamical systems. We derive the Boltzmann–Gibbs (BG) entropy form and relate it to Newton's law of motion in...