> The fact that the electron exist is not culturally dependent. As much as the fact that stars exists.I'm not so sure about it. All I know is I'm unable to imagine how to think about Universe without splitting it into stars and electrons. But my inability doesn't prove anything.
> Any alien civilization capable of studying the behavior of atoms must also be able to express concept that are compatible with ours.
Is it necessary to study atoms to build a MOSFET transistor? Or maybe it is possible to discover, for example, some macro-theory which would give enough precision of predictions to build a MOSFET?
> the result of our experiments will have to be the same and since we can develop experiments that show specific operations they must also be able to express those operations.
To stage experiment you need a theory, you need to watch reality first and to perceive it in a specific way. The way you perceive reality based on how you interact with reality. For example to see person and his hat as a different objects there must be a reason to see them as a separate objects. If hat changed nothing, than you wouldn't be able to see a difference between person in a hat and person without a hat. As an anecdot: I mostly cannot describe people I met. Do they wear glasses? Skirt or pants? I do not know, because I'm not paying attention for such unimportant details. To see difference between apple on tree and apple falling on your head, it must be important in some ways to you. For example, falling apple could inflict pain and may be eaten, while apple on a tree is hard to reach. It is enough difference to notice it and to start searching for correlates: like pain on the head correlates with the apple fall, probably there is a causation. (Though correlation/causation are also concepts from our culture, they may be unnecessary to build a MOSFET.)
If you perceive reality some other way and rely on other theories your experimental setups would be completely alien. Moreover, experimental method is the best known to us, but didn't you think that there are possibly other superior methods to explore reality?
People invented experiment after tenth of thousands years of their history. So it is not a trivial and obvious discovery. It is a complex find, which based on tenth of thousands years of culture evolution. We need to assume that this evolution could go in convergent ways, if we want to state that experimental method is necessity for any advanced civilization.
I do not state that process is not convergent, but I do not state that it is convergent either. I do not know and I wish to share my ignorance. Perceived ignorance is the most valuable kind of knowledge. ;)