Could Electrons Exist in 4 Dimensions?

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SUMMARY

This discussion centers on the concept of electrons potentially existing in four dimensions, sparked by visual comparisons between probability densities of electrons and higher-dimensional shapes like the 3-sphere. Participants explore the implications of electron interactions, questioning whether they could be aligned in a shared plane, which raises further inquiries about the nature of forces and dimensionality. A critical response emphasizes the importance of orbital wavefunction phases in understanding electron behavior, highlighting the complexity of interpreting visual representations of quantum mechanics.

PREREQUISITES
  • Understanding of quantum mechanics, particularly electron probability densities
  • Familiarity with higher-dimensional geometry, specifically 3-spheres
  • Knowledge of wavefunction phases in quantum chemistry
  • Basic concepts of particle interactions and forces in physics
NEXT STEPS
  • Research the mathematical properties of 3-spheres and their implications in physics
  • Study quantum mechanics focusing on wavefunctions and their phases
  • Explore the concept of entanglement and "spooky action at a distance" in quantum physics
  • Investigate higher-dimensional theories in physics, such as string theory
USEFUL FOR

Physicists, students of quantum mechanics, and anyone interested in the implications of higher-dimensional theories on particle behavior and interactions.

Raven Luni
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Greetings,

This is basically just an observation I expect it to be laughed at (already has been laughed at in the mensa forum) but you know what they say - the only stupid questions are the ones left unasked and what better way to put it to rest than to ask some real hard core physicists...

I was reading an article about probability densities of electrons and one of the pictures struck me because I was reminded of some other stuff I had been reading about higher dimensional shapes - in this case a 3-sphere.

Here are 2 pictures for comparison:
orbitals.png

Hypersphere_coord.PNG


IF there is anything to this, it brings up another question of 'spooky action at a distance' (sorry I can't remember what the proper name for is). If 2 electrons are able to (interact? - or whatever it is they do after whatever it is gets done to them), could it mean that they are somehow aligned on the same 'plane' like the plane in the picture where the radius is infinite (straight line)?
 
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What do you mean they are aligned in the same plane? For any two particles I can easily construct more than 1 plane for them to both be in since there is no preferred orientation.

Also, there is a post in the general or classical physics forum right now that talks about what a Force is that you may want to look at.
 
Forget that part. (note to self: reign in the really really wild stuff a bit before talking to sensible people).

What my post should really say is more like: Wow what an interesting coincidence that those 2 pictures have some similarities. Could there possible be anything to this? I ask because I believe that higher dimensions can explain a lot of things. Another example is something I read years ago (cant even remember where) about certain crystalline structures having 4 and even 5 dimensional symmetry where the organisation appeared simply chaotic in only 3 dimensions.
 
I don't see any similarity whatsoever.
 
Many of the individual images in the top picture seem to fit with one of the bottom 3 in the bottom one
 
Raven Luni said:
Many of the individual images in the top picture seem to fit with one of the bottom 3 in the bottom one

The devil is in the details.

You need to keep in mind that just because a cow looks like a sphere from very far, it doesn't mean that it is a sphere. You are simplifying this way too much. This is fine, but then you are trying to draw some profound conclusion out of such a coarse view. This makes it not only illogical, but also wrong.

For example, the orbital clouds drawn in the top picture, you will notice, have different colors. That is trying to convey that the orbital wavefunction being depicted have different phase from each other! This representation is utterly absent in those lines being drawn in the bottom figure. These phases in the wavefunction is absolutely important, and chemistry will be a very puzzling subject without such a thing.

Zz.
 
Thankyou ZapperZ. Thats a good answer, and a curiosity laid to rest :)
 

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