Time as a stochastic process

TL;DR

This paper explores the concept of time as a stochastic process in quantum mechanics by reinterpreting it as a mechanical quantity in classical mechanics and then quantizing it, considering both continuous and discrete time.

Contribution

It introduces a novel approach to treat time as a stochastic variable in quantum mechanics through classical redefinition and quantization.

Findings

Time can be modeled as a stochastic process in quantum mechanics.

Both continuous and discrete time frameworks are considered.

The approach offers new perspectives on the role of time in quantum theory.

Abstract

In the paper we consider an interesting possibility of a time as a stochastic process in quantum mechanics.In order to do it we reconsider time as a mechanical quantity in classical mechanics and afterwards we quantize it. We consider continuous and discrete time.