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I was wondering.. Is it a scientific, proven fact that temperature does not exist at sub-atomic levels, or is it an assumption. I do not understand how there can be temperature existance at a certain level, but not at a sub-level.
It doesn't have to be "proven", it's true by definition.
Temperature is a measure of the energy of *moving atoms*. Within an atom, there are no little atoms moving around.
Similarly, the inside of a hydrogen atom in a water molecule isn't "wet", as "liquidness" is a property of large numbers of molecules interacting with each other.
Yours is a very common difficulty in understanding heat and temperature, actually, so you have a lot of company.