Physical geometry of channel degradation

TL;DR

This paper explores a geometric relationship between channel capacity and free energy minima in discrete channels, shedding light on the timescale behavior relevant to statistical physics.

Contribution

It introduces a novel geometric framework linking channel capacity with free energy minima, enhancing understanding of channel behavior in statistical physics contexts.

Findings

Establishes a correspondence between capacity and free energy minima.

Provides insights into the timescale behavior in statistical physics.

Offers a new geometric perspective on channel degradation.

Abstract

We outline a geometrical correspondence between capacity and effective free energy minima of discrete memoryless channels. This correspondence informs the behavior of a timescale that is important in effective statistical physics.