Radioactive Decay Seen as Temporal Canonical Ensemble

TL;DR

This paper applies the operator of time formalism to radioactive decay, revealing it as a temporal canonical ensemble where decay constants resemble temperature, offering new insights into the stochastic nature of decay processes.

Contribution

It introduces a novel perspective by modeling radioactive decay as a temporal canonical ensemble, linking decay constants to thermodynamic temperature concepts.

Findings

Decay exponential law parallels Boltzmann distribution.

Radioactive constant acts as an analog of temperature.

Stochastic character of decay is explained through this framework.

Abstract

The operator of time formalism is applied to radioactive decay. It appears that the proposed approach offers better insight and understanding of the phenomena in a way that the decay exponential-law becomes the Boltzmann distribution in Gibbs treatment of canonical ensemble. The radioactive decay is seen as temporal canonical ensemble where the radioactive constant appears as the analog of the absolute temperature multiplied by Boltzmann constant. The stochastic character of decay process becomes plausible in the proposed approach and the explanation why decay is characterized by constant, and not by some parameter, is offered.