De Broglie Waves: Understanding Wave-Particle Duality

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Hi. I am a bit confused about the wave-particle duality. My textbooks say that matter waves are waves of probability and and the particles present at a point depend up on the probability at that region. So how i imagine it is, if suppose the wave is a sine wave, the particles would also travel in sine wave format where the number of particles present at a region is proportional to the square of sine value at that region. is my idea correct? And what is the difference between this sort of wave and EM waves?
 
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We had a lot discussion about this topic like 3weeks ago. I suggest you search for old threads (they should be further down in this subforum).
 

Thread 'Is a table levitating possible, even at a minuscule probability?'

I am not sure if this falls under classical physics or quantum physics or somewhere else (so feel free to put it in the right section), but is there any micro state of the universe one can think of which if evolved under the current laws of nature, inevitably results in outcomes such as a table levitating? That example is just a random one I decided to choose but I'm really asking about any event that would seem like a "miracle" to the ordinary person (i.e. any event that doesn't seem to...
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