Phase space holography with no strings attached

TL;DR

This paper explores a novel pseudo-holographic duality using the Wigner function to connect quantum phase space descriptions with classical-like boundary theories, without relying on string theory or specific symmetries.

Contribution

It introduces a new framework for phase space holography that does not depend on traditional symmetry assumptions or string theory foundations.

Findings

Establishes a correspondence between quantum phase space and boundary hydrodynamics.

Shows the potential for classical dynamics to emerge from quantum descriptions.

Proposes a general pseudo-holographic duality independent of specific symmetries.

Abstract

This note discusses the Wigner function representation from the standpoint of establishing a holography-like correspondence between the descriptions of a generic quantum system in the phase space ('bulk') picture versus its spacetime ('boundary') counterpart. Under certain circumstances the former might reduce to the classical dynamics of a local metric-like variable while the latter takes on the form of some bosonized collective field hydrodynamics. This generic pseudo-holographic duality neither relies on any particular symmetry of the system in question, nor does it require any connection to an underlying 'string theory', as in the various 'ad hoc' scenarios of applied holography.