# The Gibbs paradox, the Landauer principle and the irreversibility associated with tilted observers

## TL;DR

This paper explores how different observer perspectives in General Relativity lead to apparent dissipative processes and entropy changes, illustrating the Gibbs paradox and Landauer principle's roles in observer-dependent thermodynamics.

## Contribution

It demonstrates the observer-dependent nature of entropy and dissipation in spacetime, linking Gibbs paradox and Landauer principle within a relativistic framework.

## Key findings

- Observer tilt affects perceived dissipation and entropy.
- Dissipative processes are observer-dependent and linked to information erasure.
- Gibbs paradox explains entropy differences between observers.

## Abstract

It is well known that, in the context of General Relativity, some spacetimes, when described by a congruence of comoving observers, may consist in a distribution of a perfect (non-dissipative) fluid, whereas the same spacetime as seen by a "tilted"' (Lorentz-boosted) congruence of observers, may exhibit the presence of dissipative processes. As we shall see, the appearence of entropy producing processes are related to the tight dependence of entropy on the specific congruence of observers. This fact is well illustrated by the Gibbs paradox. The appearance of such dissipative processes, as required by the Landauer principle, are necessary, in order to erase the different amount of information stored by comoving observers, with respect to tilted ones.