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sounds like a case of shittynessitis. just the pulse thing alone probably isn't anything but if you get other symptoms like unusual sensations, discoloration or anything else that differs between your left and right hands you could see a doc.
another option would be to get one of those blood pressure machines and measure your blood pressure on each arms a bunch of times. if they average out the same (which they likely will) you're fine. if not see a doc, at the very least you'll be able to show him some data so he doesnt immediately assume you're retarded
