Maximal energy extraction through information gathering

TL;DR

This paper explores the maximum work extractable from a mass using information about its micro-state, employing black hole thermodynamics to connect entropy, information, and energy in a relativistic context.

Contribution

It introduces a novel calculation of maximal non-equilibrium work from micro-state information using black hole thermodynamics, linking entropy and energy in relativistic systems.

Findings

Maximum work from micro-state info is 0.5 Mc^2.

Black hole entropy relates to information and energy extraction.

Insights into entropy's relativity and connection to general relativity.

Abstract

We calculate the maximal non-equilibrium work that can be extracted from any mass using information about its micro-state. This is done through the use of black hole thermodynamics in the context of the thermodynamics of information. The non-equilibrium work that can be obtained by knowing the exact micro-state is found to be $\frac{1}{2} Mc^{2}$. This is calculated using the entropy of an eternal, uncharged, non rotating black hole. This is derivation helps elucidate the relativity of entropy and its relationship to general relativity and time.