My Thoughts on Quantum Uncertainty

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SUMMARY

This discussion explores the relationship between quantum uncertainty and the concept of extra dimensions, as inspired by the book "Elegant Universe." The participant suggests that these extra dimensions, while imperceptible in the macroscopic world, may influence quantum behavior, leading to observable uncertainty. The conversation touches on Heisenberg's uncertainty principle and the need for a mechanism to explain how extra dimensions could affect particle states. The participant seeks clarification on whether string theory connects these extra dimensions to quantum mechanics.

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  • Understanding of Heisenberg's uncertainty principle in quantum mechanics
  • Familiarity with the concept of extra dimensions in theoretical physics
  • Basic knowledge of string theory and its implications
  • Awareness of wave mechanics and matrix formulation in quantum mechanics
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  • Research the implications of Heisenberg's uncertainty principle in quantum mechanics
  • Study the role of extra dimensions in string theory and their effects on particle behavior
  • Explore the mathematical foundations of wave mechanics and matrix formulation
  • Investigate experimental approaches to test theories involving extra dimensions
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Students and enthusiasts of theoretical physics, particularly those interested in quantum mechanics, string theory, and the nature of uncertainty in the quantum realm.

tycon69
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So I am just a simple high school student whom, while reading Elegant Universe, came up with an idea that would answer why the quantum world is so unusual. I am not well educated in quantum mechanics or the such, so please don't be too brutal while shooting down my thoughts, lol. So, while I was reading about extra dimensions curled up microscopically, i came across an idea, and threw the book down to elaborate on this idea. What if these extra dimensions , while too small to effect our macroscopic world, alter the quantum world just slightly in some cases to cause quantum uncertainty. Something only noticeable in this tiny dimension could be affecting the other dimensions or the extra dimension it's self could alter the 3 dimensional particles. These are just my uneducated amateur thoughts, so please, if they are drastically misdirected, direct them in the correct order.
 
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Quantum Mechanics could very well be an approximation to a different theory (sort of like how Newtonian mechanics are an approximation of Einsteinian, i.e. relativistic, mechanics).

I haven't learned anything about extra dimensions and so forth, and I doubt I ever will in any class I am required to take, so I can't help in that regard, though.

Although, it's not enough for there to be extra dimensions. Something has to be happening in those extra dimensions.

For example, if you have a magnetic field and a charged particle goes through it, it ends up going in a circular path. If you only saw 2 dimensions, you'd be like "WTF?", but since we know there are 3 and the magnetic field goes in that 3rd dimension, we know what's happening.

So there would need to be some sort of mechanism proposed to perturb the particles like that. And then you'd have to figure out how to test that vs. just saying their state is undetermined.
 
I'm afraid I don't know anything about string theory beyond what's in the elegant universe and the fabric of the cosmos (2years to go all being well before I can take courses in that :wink:)... but I do know a little more about quantum mechanics. I'm assuming that by "uncertainty" you're referring to Heisenberg's uncertainty principle. This states that certain pairs of variables cannot both be known with abitrary accuracy. Such variables are known as cannonically conjugate variables- the definition of which involves maths you haven't done yet, but don't worry about it. The HUP is an inevitable consequence of standard QM, and you can derive it using either wave mechanics or the original matrix formulation.
Now for the bit I don't understand :biggrin: In string theory, the answer to poop-loops' criterion that something must "happen" in the extra dimensions is that the fundamental constituents of matter vibrate through that many degrees of freedom. What I don't know is whether or not this leads to quantum mechanics as we know it. If it does, then it is responsible for uncertainty; if, however, QM and GR dictate more precisely how these vibrating systems behave, then uncertainty isn't really anything to do with the extra dimensions at all. Hopefully someone on here can advise us on which of those is nearer the mark!
 

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