Quantum field in curved space-time

[Gary Venter]

TL;DR

Quick question about relationship between QM and general relativity

The wave function includes coordinates for position in space. For two distant but correlated particles, do their distances and paths of movement used in the wave function follow the curved space-time of general relativity, or is Euclidean distance assumed in QM?

 

[anuttarasammyak]

I support neither of your idea : Eucledian distance does not fit with GR and classical curved space-time doe s not seem fit with QM. If you could get an answer, you would be honerd as a pioneer of quamtum gravity.

 

[PeterDonis]

The wave function includes coordinates for position in space.

Here you are using non-relativistic QM.

For two distant but correlated particles, do their distances and paths of movement used in the wave function follow the curved space-time of general relativity

Here you are trying to use relativity, which means you can't use non-relativistic QM. You have to use quantum field theory, and in curved spacetime to boot, in which there is no such thing as a "wave function". That's not how QFT models things.

 

[PeterDonis]

their distances and paths of movement used in the wave function

There are no such things even in non-relativistic QM. The wave function does not describe "distances and paths of movement".

 

[Demystifier]

TL;DR Summary: Quick question about relationship between QM and general relativity

or is Euclidean distance assumed in QM?

No. In quantum theory on curved spacetime, a curved geometry is used.