If it is true that an electron can be anywhere in the cosmos at any given time, then is it even theoretically possible that there is only one electron, instead of multiple electrons in the cosmos? If it isn't, I'd appreciate it if someone could point out where I may have misunderstood something as far as the fundamental properties of electrons are concerned.
Answer
If it is true that an electron can be anywhere in the cosmos at any given time,
No it is not a true statement. The true quantum mechanical statement is that
there exists a probability that an electron can be anywhere in the cosmos at any given time
This probability is infinitesimally small, and thus the probability that atoms could evolve is practically zero. So it is not even theoretically possible . Your misunderstanding comes from ignoring probabilities coming from the quantum mechanical basic framework.
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