The discussion centers on the relationship between quantum mechanics (QM) and general relativity (GR), specifically regarding the wave function and its representation of particle distances in curved space-time. It is established that non-relativistic QM cannot adequately describe phenomena in curved space-time, necessitating the use of quantum field theory (QFT). In QFT, the concept of a wave function is not applicable, as distances and paths of movement are modeled differently. The consensus is that quantum theory in curved space-time employs a curved geometry rather than Euclidean distance.
PREREQUISITESPhysicists, researchers in quantum gravity, and students of theoretical physics seeking to understand the interplay between quantum mechanics and general relativity.
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?