Appearance of Thermal Time

Abstract In this paper a viewpoint that time is an informational and thermal entity presented. We consider model for simple relaxation process which relationship among event, temperature mathematically formulated. It then explicitly illustrated are statistically inferred through measurement of events. The probability distribution the events thus provides intrinsic correlation between time, can relevantly be expressed in terms Fisher information metric. two-dimensional differential geometry leads us to finding equation scalar curvature, $$R = -1$$ R = - 1 , case process. This basic equation, turn, may regarded as characterizing nonequilibrium dynamical having solution given by interpreted so appear way.