Quantum mechanical observers: a phase space approach

TL;DR

This paper proposes a phase space approach to modeling quantum mechanical observers as superpositions of classical reference frames, using a weighting function based on wavefunctions and their Fourier transforms.

Contribution

It introduces a novel phase space method for describing quantum observers as superpositions of classical frames with a specific weighting function.

Findings

Weighting function based on wavefunction and Fourier transform proposed

Interpretation of factors as probability density amplitudes

Framework allows for alternative weighting functions

Abstract

A quantum mechanical observer might be describable as having a reference system that is a superposition of classical inertial reference frames. The present paper suggests a possible weighting function in such superpositions, determined by the product of the observer's wavefunction and the Fourier transform of the wavefunction at each point in phase space. This suggestion is made because each of these factors has a simple interpretation as a probability density amplitude. Other forms for the weighting function may well be possible.