The discussion centers on the relationship between quantum mechanics (QM) and general relativity (GR), specifically regarding how the wave function for correlated particles is affected by curved space-time. Participants explore whether distances and paths in the wave function adhere to the principles of GR or if Euclidean distance is assumed in QM.
Participants express disagreement regarding the applicability of Euclidean distance in QM and the interpretation of the wave function in the context of GR and QFT. No consensus is reached on how to reconcile these theories.
There are limitations regarding the assumptions made about the relationship between QM and GR, particularly in defining the wave function and its implications in curved space-time. The discussion does not resolve the mathematical or conceptual challenges presented.
Here you are using non-relativistic QM.Gary Venter said:The wave function includes coordinates for position in space.
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.Gary Venter said: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
There are no such things even in non-relativistic QM. The wave function does not describe "distances and paths of movement".Gary Venter said:their distances and paths of movement used in the wave function
No. In quantum theory on curved spacetime, a curved geometry is used.Gary Venter said:TL;DR Summary: Quick question about relationship between QM and general relativity
or is Euclidean distance assumed in QM?