# Brownian Motion and Quantum Mechanics

## TL;DR

This paper explores a theoretical analogy between classical Brownian motion and quantum mechanics, highlighting that quantum behavior is driven by turbulent velocity fluctuations and describing quantum Brownian motion when both stochastic sources act together.

## Contribution

It introduces a novel theoretical framework linking Brownian motion and quantum mechanics through turbulent velocity fluctuations and describes quantum Brownian motion under combined stochastic influences.

## Key findings

- Quantum mechanics is driven by turbulent velocity fluctuations.
- Quantum Brownian motion occurs under simultaneous stochastic influences.
- A theoretical description of quantum Brownian motion is provided.

## Abstract

A theoretical parallel between the classical Brownian motion and quantum mechanics is explored. It is shown that, in contrast to the classical Langevin force, quantum mechanics is driven by turbulent velocity fluctuations with diffusive behavior. In the case of simultaneous action of the two stochastic sources, the quantum Brownian motion takes place, which is theoretically described as well.

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Source: https://tomesphere.com/paper/1902.05930