# Tachyonic $\delta$-Tsallis entropy of a thermal tachyonic BIon

## TL;DR

This paper investigates the thermodynamic properties of a thermal tachyonic BIon, revealing that its entropy follows a form similar to Tsallis entropy, with growth linked to brane separation and tachyonic potential.

## Contribution

It introduces a novel analysis of tachyonic BIons' entropy, showing its relation to Tsallis entropy and how it varies with brane separation.

## Key findings

- Entropy of the thermal tachyonic BIon matches Tsallis entropy form.
- Decreasing brane separation increases tachyonic potential and entropy.
- Tachyonic potential influences the thermodynamic behavior of brane configurations.

## Abstract

When a brane and an anti-brane come close to each other, the tachyonic potential between them increases and a tachyon wormhole is formed. This configuration, which consists of two branes and a tachyonic wormhole, is called a thermal tachyonic BIon. By considering the thermodynamic behaviour of this system, one finds that its entropy has the same form as that of the Tsallis one. By decreasing the separation between the branes, the tachyonic potential increases, and the entropy grows.