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What is the possibility that a particle is located with infinite precision and its momentum precisely known?

 

This is what is required for a 3 dimensional particle to occupy the same quantum state as a 2 dimensional particle, as the 2 dimensional particle occupies no 3 dimensional space. Extending the idea to the 4th dimension, with a slightly better explanation following:

 

Likewise, a 4 dimensional particle cannot interact directly with a 3 dimensional particle as the 4d particle's movement and position are spread out over 4d space (5d spacetime).

 

For the 4d particle to be located in the precise location in which it could interact with a 3 dimensional particle requires the 4d particle to both have a precise location and a precise momentum of zero.

 

Any momentum at all in the 4th dimension would render the amount of time located at the precise 3d planar intersection to exactly 0 (no time). So the 4d particle must have exactly zero momentum and have a precise location (exactly at the 3d planar intersection) for the particle to interact with a 3d particle.

 

Of course, gravitation is the warping of space by the mass/energy of particles, so.... the 4d particle's gravitation could still be felt. So if you step on the scale tomorrow, and you weigh a few extra pounds, blame it on that pesky 4d dark matter planetoid passing through you at the time.

  • 3 weeks later...
Posted

What is the possibility that a particle is located with infinite precision and its momentum precisely known?

 

Would you also not at the same time be interested in the opposite question?

 

What is the possibility that a particle is located with infinite momentum and its precision unknown?

Posted

What is the possibility that a particle is located with infinite precision and its momentum precisely known?

...

What is the possibility that a particle is located with infinite momentum and its precision unknown?

lol... :D

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