Does dimensions have the same meaning in the Quantum world?

[Ginosko]

Does dimensions and time have the same meaning in the Quantum world? Maybe that explain weird things as the spooky action at distance. What evidence are about the real existence of a 3 geometry dimensions world at quantum level? Maybe even time have a different meaning in the quantum world.

 

[.Scott]

Even the spooky action at a distance keeps information constrained from propagating faster than the speed of light.
That's a distance per time constraint. So it would seem that x,y,z and time have application to QM.

But I wouldn't doubt that there is more to the story.
The first thing that comes to mind is the holographic principle: https://en.wikipedia.org/wiki/Holographic_principle
... suggesting that the x,y,z, time can be mapped to two spatial dimensions and time.

The holographic principle suggests that examining things in the frequency domain (a la Fourier Transforms) may reveal principles that are not evident in the x,y,z spatial domain.

 

[PeterDonis]

Does dimensions and time have the same meaning in the Quantum world? Maybe that explain weird things as the spooky action at distance. What evidence are about the real existence of a 3 geometry dimensions world at quantum level? Maybe even time have a different meaning in the quantum world.

Our best current theory of the quantum world is quantum field theory. This theory treats spacetime the same as in special relativity, so the strange effects that arise from quantum mechanics cannot be due to anything different about space or time in this theory.

Most physicists believe that we will eventually discover a quantum theory of gravity, which would, it is believed, allow us to treat space and time quantum mechanically. However, nobody has found such a theory yet, so we don't know what it will say about space or time, or whether anything different about space or time in this theory would be able to account for strange quantum effects.