Schrodinger's Eqn: Harnessing Extra Dimensions?

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    Schrodinger's equation
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Discussion Overview

The discussion revolves around the implications of Schrödinger's equation in the context of extra dimensions, particularly in relation to string theory and the concept of dimensional compression. Participants explore theoretical aspects of higher dimensions and their potential applications, as well as the nature of these dimensions and their relevance to our understanding of the universe.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification
  • Technical explanation

Main Points Raised

  • One participant suggests that Schrödinger's equation is applicable in 11 dimensions (10 spatial, 1 time) and questions whether these extra dimensions could be harnessed for dimensional compression.
  • Another participant argues that Schrödinger's equation works fine in 4 dimensions (3 spatial, 1 time) and references string theory, noting that while string theory may involve 11 or even 26 dimensions, these extra dimensions are theorized to be microscopically small and curled up.
  • There is a discussion about the nature of microscopic dimensions, with one participant explaining that at very small scales, extra dimensions become significant, using an analogy of a curled hair.
  • Some participants express curiosity about the feasibility of dimensional compression, with one stating it seems unlikely due to the need for exotic matter that has not been observed.
  • There is a debate about the concept of traveling around the universe and whether this constitutes another dimension, with differing views on the implications of space curving back on itself versus the existence of extra dimensions.
  • Questions arise about what lies beyond the universe, with one participant noting that this is a metaphysical question rather than a physical one.
  • Participants discuss the relevance of studying general and special relativity for understanding these concepts.

Areas of Agreement / Disagreement

Participants express differing views on the applicability of Schrödinger's equation in various dimensional contexts and the nature of extra dimensions. There is no consensus on the feasibility of dimensional compression or the implications of traveling around the universe.

Contextual Notes

Some claims depend on specific interpretations of string theory and the nature of dimensions, which remain unresolved. The discussion touches on speculative ideas about the universe's structure and the nature of reality beyond observable limits.

Who May Find This Useful

Individuals interested in theoretical physics, particularly in the areas of quantum mechanics, string theory, and the nature of dimensions and the universe.

mrlaughingman
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i was reading up on Schrödinger's equation and they had mentioned that the equation only works with 11 dimension 10 spatial 1 time. could these extra 10 spatial dimensions be harnessed and used for dimensional compression. what i mean is be able to harness the dimension and place it into an empty space. (walk up to a shack open the door and inside its a mansion type of thing)
 
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cite reference, according to me, it works fine with 4dimensions (3 spatial and one time)...

You are perhaps referring to String Theory which are combining Quantum Mechanics and General Theory of relativity, which only works in 11dimensions (10 spatial and 1 time). But there are several kinds of string theories, one has 26dimensions for instance. But these extra dimension can not be used by us, they are (if they exists) very very microscopical. The dimensions are curled up (kaluza klein), compare it with a piece of hair - to us it is just 1dimensional, but for a flea (if u got any) it has more dimensions.
 
ahh yes sorry about that i was thinking about the string theory. but how can a dimension be microscopic exactly?
 
how and how...
Didn't you understand the analogy I gave you? Only at very very small scales these "extra" dimensions became important -> scales down at approx 10^-30 meters.
 
ok well i am just going to stop posting now and post back at a later time after more studying is done sorry guys i know i must seem like a complete retard here.
 
but just out of curiosity could dimensional compression become reality?
 
no...
 
mrlaughingman said:
ahh yes sorry about that i was thinking about the string theory. but how can a dimension be microscopic exactly?
The simplest way is to have a circular extra dimension: If you move say 10-20 meters in a direction that's perpendicular to the three "standard" dimensions of space ("right", "forward" and "up") you have already moved all the way around the entire universe and returned to your starting point. (That number is just something I pulled out of my ***. The actual number could be bigger or smaller).

mrlaughingman said:
but just out of curiosity could dimensional compression become reality?
It seems very unlikely. In theory, space can be stretched even without the extra dimensions, but (I think) doing something like that always involves exotic matter of a type that has never been observed, and even if it exists, you'd have to squeeze a lot of it into a small space and keep it there.
 
so if i am understanding this then if you were to go completely around the universe and end were you started that's another dimension
 
  • #10
Well now the universe is bigger than us, so the universe is an example of a circular dimensions then, but not "another"
 
  • #11
mrlaughingman said:
so if i am understanding this then if you were to go completely around the universe and end were you started that's another dimension
It depends on what direction you're going in. If you go right, forward or up, and eventually get back to where you started (after traveling at least a few hundred billion light-years (probably much more)), that only means that space curves back on itself, or possibly that it has a non-trivial topology, like the space in the Asteroids game. Extra dimensions don't have anything to do with it.

If on the other hand you can find a direction that's perpendicular to all of the three I mentioned, and go in that direction, it's possible (even likely) that if you go a single nanometer in that direction, you will have moved millions of laps around the entire universe. That would explain why we can't perceive that this extra dimension is there.

People have also thought of ways that extra dimensions can be much larger and still not noticeable, but those ideas are more complicated. I don't know much about the details, but I think the basic idea is that gravity would be the only "force" that acts in the directions that are perpendicular to right, forward and up.
 
  • #12
wow i actually understood that. thanks. but is there any way of being able to go past the edge of our universe i mean what is out there beyond that?
 
  • #13
you are asking what is outside our universe?
 
  • #14
yes i was. oh and i am very interested in worm hole, dimensions, time and space what part of physics should i study for all this. i haven't been able to get my mind off of all of this since i started reading about quantum mechanics.
 
  • #15
But "what is outside our universe" is a methaphysical question... not a physical question.

General and Special Theory of relativity you should study.
 
  • #16
so what is out side of it? or is it that once you go all the way right you would go past the edge and simply end up on the left?
 

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