I cannot think of any possible connection It sounds more like a shoulder or neck problem than anything else. Sounds like the movement of the arm is what is triggering the sensation. Should have nothing to do with the eye.
You never know. I have had a lot of experiences where touching one area on the body causes a reaction in a distant area.
For example, pressing on the top of my left big toe causes an electric shock in my left elbow and the top of my left hand.
Lightly touching the inside of my right wrist causes a wave of tingling on the right side of my head, but pushing on the outside of my right hand (near the little finger) causes tingling on the LEFT side of my head!
Often I get spontaneous electric shocks exactly simultaneously in one foot and my ribcage or hip.
Bending my head forward causes buzzing, vibrating, or "tense" sensations in different parts of my lower body.
But I have to say I haven't had anything happen when I rub my eye, except twitching above or below the eye.
I haven't been given any explanation for these strange "connections."
it's most likely just the way neurons are connected. (most extreme in people who get amputations, "ghost limbing," but it all goes back to how neurons are connected) I have one or two places that do that too...
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