# Weak Deflection Angle of Extended Uncertainty Principle Black Holes

## TL;DR

This paper investigates how quantum fluctuations and plasma media influence the gravitational deflection angle of black holes within the framework of the Extended Uncertainty Principle, using the Gauss-Bonnet theorem.

## Contribution

It introduces a novel approach combining quantum corrections via EUP with plasma effects to analyze black hole light deflection.

## Key findings

- Quantum corrections modify the deflection angle.
- Plasma medium significantly affects the gravitational lensing.
- Results differ from classical predictions.

## Abstract

In this paper, we have discussed the effects of quantum fluctuations spewed by a black hole on its deflection angle. The Gauss-Bonnet theorem (GBT) is exploited with quantum corrections through the Extended Uncertainty Principle (EUP) and the corresponding deflection angle is obtained. Moreover, we have attempted to broaden the scope of our work by subsuming the effects of plasma medium on the deflection angle as well. To demonstrate the degree of difference, the acquired results are compared with the prevailing findings.