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It's been awhile since I've dealt with quantum mechanics (QM), but I didn't study much (if at all) about relativity and QM together. I think, in general the two theories don't work well together. I'm not sure if there are any members here studying Physics. If Q is an object and the object is moving, then the object is contracted along the direction of motion. This means the volume shrinks. If Q is a region of space, it is not affected by motion so it's not flattened. I'm not sure how well wave functions work with Special Relativity, so I just don't know how to answer that question. Since the wave functions described the probability of finding a particle (even a large object), according to QM, and the object is length contracted, I would have to assume the wave function describing a particle (or object) has to change with increasing velocity. However, I'm really not clear on what you're asking.
It's been awhile since I've dealt with quantum mechanics (QM), but I didn't study much (if at all) about relativity and QM together. I think, in general the two theories don't work well together.
I'm not sure if there are any members here studying Physics.
If Q is an object and the object is moving, then the object is contracted along the direction of motion. This means the volume shrinks. If Q is a region of space, it is not affected by motion so it's not flattened.
I'm not sure how well wave functions work with Special Relativity, so I just don't know how to answer that question.
Since the wave functions described the probability of finding a particle (even a large object), according to QM, and the object is length contracted, I would have to assume the wave function describing a particle (or object) has to change with increasing velocity. However, I'm really not clear on what you're asking.