I'm not very knowledgable about quantum physics, but I know the basic jist of quantum superposition.
We're heard the Schrödinger's Cat thought experiment. If a cat is in a box with something that may eventually kill it, you do not know if it is alive or dead before you open the box. Therefore, the cat is both alive and dead, until the instance wherein you open the box.
In quantum physics, an electron can exist in two states at the same time — a particle and a wave. But, it can only be observed as one.
Gender's weird, right. Quite a few societies and cultures have adopted this binary model of things, which makes sense considering how the vast majority of the time, biological sex is binary — although not all of the time, and that's important to note.
But, the thing is, it's deeply engrained in the Western society that I live in, that people are either male or female. Views can change, but instinctual reactions are harder. When someone looks at you, they'll sort you into a binary box of male or female, no in between, no both, no other option, no write-in.
The Observer's Paradox in quantum physics is what it's like to be both and only be allowed to be one. Get you a particle that can do both. Male and female. Right here and on the other side of the universe.
Conclusion: Electrons are trans.