Basic question about velocities of particles

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Are there any particles (atomic, subatomic) that on average travel very slowly? As in, why is it that photons, electrons, etc. seem to (almost always) travel at speeds close to c (or at c in the case of a photon in a vacuum)?
 
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Relative to what? All motion is relative to some given frame. A particle that is moving slowly relative to one frame may be moving rapidly relative to another. And what reason do you have for saying that electrons, etc. move "close to c". (Photons, of course, necessarily move at c.)
 
The slow neutrons that take part in nuclear fission travel relatively slowly.
Electrons in light atoms also travel relatively slowly.
Conduction electrons in a wire travel relatively slowly.
 
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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