Funny enough, I was going to include those relationships in my original comment but pulled them out for brevity. Was going to be something like "I think it is really hard to get a physics degree and not stumble upon the similarities of Gravity and Electromagnetism where there's a striking similarity in forms. I think most people start by thinking there's some link to the unification (and imagine solving a TOE) but you end up finding incredible beauty in something seemingly simple like the inverse square law." I actually remember one of my favorite lectures (and expanded on as a homework question) was deriving why everything is in inverse square law and not some variation like r^1.9 or r^1.5. It just completely changed how I saw these equations and even the process of analysis. I was a pure experimentalist before that class and gained a lifelong appreciation for theory because of it. I'm in ML now, so definitely still in application/experimentalist mindset but when I stumbled upon this Knuth quote it resonated strongly

  If you find that you're spending almost all your time on theory, start turning some attention to practical things; it will improve your theories. If you find that you're spending almost all your time on practice, start turning some attention to theoretical things; it will improve your practice.