# Quantum randomness in the Sky

## TL;DR

This paper investigates quantum randomness in cosmological particle production using a quantum-corrected Fokker-Planck approach, linking it to electron transport phenomena and analyzing statistical moments to understand distribution profiles.

## Contribution

It introduces quantum corrections to the Fokker-Planck equation for stochastic cosmological particle production, connecting it with electron transport models and statistical analysis.

## Key findings

- Quantum corrections modify the Fokker-Planck equation at various orders.
- Statistical moments reveal Gaussian and non-Gaussian features of the distribution.
- The approach provides insights into the probability distribution of particle production.

## Abstract

In this article, we study quantum randomness of stochastic cosmological particle production scenario using quantum corrected higher order Fokker Planck equation. Using the one to one correspondence between particle production in presence of scatterers and electron transport in conduction wire with impurities we compute the quantum corrections of Fokker Planck Equation at different orders. Finally, we estimate Gaussian and non-Gaussian statistical moments to verify our result derived to explain stochastic particle production probability distribution profile.