Is there a quantum dimension all around us where we can't measure matter?
Electrons are found in discreet places around the nucleus of an atom called electron orbitals. Is the space between orbitals a dimension where we can't measure matter?
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In any case, this doesn't say anything about measurement.
Quantum mechanics presents a special problem. You see, to measure something we bounce one thing off of it, and read the result. That's the way light and sound work. As long as the thing you are bouncing is small enough, it does not significantly impact what you are measuring.
At the quantum level though, we are actually shooting enough mass and energy at the thing, that it alters the state of the thing we are observing. Combined with the fact an electron is more an abstraction then a particular spot, it leaves us with the uncertainty principle.