Modified Landauer principle according to Tsallis entropy

TL;DR

This paper generalizes the Landauer principle using Tsallis entropy, exploring implications for energy dissipation, mass of information, gravitational fields, and gravitational wave emission.

Contribution

It introduces a novel generalization of the Landauer principle based on Tsallis entropy, extending its applicability to gravitational contexts.

Findings

Modified energy dissipation bound for information erasure

Altered mass associated with a bit of information

Extended Landauer principle to gravitational systems

Abstract

The Landauer principle establishes a lower bound in the amount of energy that should be dissipated in the erasure of one bit of information. The specific value of this dissipated energy is tightly related to the definition of entropy. In this article, we present a generalization of the Landauer principle based on the Tsallis entropy. Some consequences resulting from such a generalization are discussed. These consequences include the modification to the mass ascribed to one bit of information, the generalization of the Landauer principle to the case when the system is embedded in a gravitational field, and the number of bits radiated in the emission of gravitational waves.