Quantum Reference Frames, Time and Measurements

TL;DR

This paper proposes a new quantum space-time framework accounting for macroscopic reference frames, leading to modified transformation laws and equations, with potential experimental tests involving macroscopic coherent states.

Contribution

It introduces quantum space-time transformations for reference frames, altering standard equations and concepts like proper time, based on quantum properties of macroscopic objects.

Findings

Quantum RF motion causes wave packet smearing.

Transformations differ from Galilean and Lorentz in quantum context.

Proposes experiments with macroscopic coherent states.

Abstract

We argue that correct account of the quantum properties of macroscopic objects which form reference frames (RF) demand the change of the standard space-time picture accepted in Quantum Mechanics. The presence of RF free quantum motion in the form of wave packet smearing results in formal nonapplicability of Galilean or Lorentz space-time transformations in this case. For the description of the particles states transformations between different quantum RF the special quantum space-time transformations are formulated. Consequently it results in corrections to Schrodinger or Klein- Gordon equations which depends on the RF mass. RF proper time becomes the operator depending of momentums spread in RF wave packet ,from the point of view of other observer. The experiments with macroscopic coherent states are proposed in which this effects can be tested.}