The holographic quantum

TL;DR

This paper proposes a duality mapping standard quantum mechanics onto classical thermodynamics, revealing features similar to the holographic principle of quantum gravity without involving gravity.

Contribution

It introduces a novel duality between quantum mechanics and thermodynamics, highlighting holographic-like features in a non-gravitational setting.

Findings

Map of quantum mechanics to thermodynamics established

Features reminiscent of holography identified

No gravitational component involved

Abstract

We present a map of standard quantum mechanics onto a dual theory, that of the classical thermodynamics of irreversible processes. While no gravity is present in our construction, our map exhibits features that are reminiscent of the holographic principle of quantum gravity.