this post was submitted on 10 Dec 2023
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I think high level degree holders know a lot more than the average man thinks we know, in fact I doubt the majority of people even know US High school level stuff like that we've discovered a gravitational constant and about the inverse square law as it applies to gravity.
The sad reason for that is that it's a conversation killer. I would love to go back and forth for hours on things like the uncanny similarity between universal gravitation and Coulomb's law. But, when I speak to someone with a similar background to mine it's all...work-work-work-how-is-it-applied??, and when I speak to someone without that background it's all yawns. It's a shame because in either case I think science is the most interesting topic. It's just as edifying to dive casually into the philosophy as it is to dive rigourously into the maths. I learn more per unit time from either type of conversation than from studying papers. And, it's a passion, but one whose expression is stymied either by explaining it in terms of football fields per dolphin or by making it marketable. Interaction with other minds is the most valuable type of learning.
I feel like I may come off as a bit of an elitist writing this, but the problem really is the opposite: I wish more people would get involved!
Edit: the responses to this have made my day you guys. This is why I left Reddit.
I dunno, it's an inverse square. Are we going to get excited each time something has a linear relationship to another thing? What makes the inverse square so special?
Bertrand's theorem states that stable orbits are only possible for one single inverse distance relation (in classical mechanics): inverse square
If the law is not inverse square (or harmonic oscillator), there will be no long lasting orbits, no galaxy clusters, no galaxies, no star systems, no planet and moon pairs.
If the electrostatic force wasn't inverse square, electromagnetic force would look much different. No gauss law would be possible.
Inverse square relationship is really neat
There's a lot of things which are required to be exactly as we observe them to be for our surroundings to work out as we observe them to be. If they weren't we wouldn't be here to observe, or, at the very least, we'd be quite different.
Also as to other universes: Who says that any random universe with other laws ties together objects based on their mass. For all we know their attractive force could be relative to photon emissions and elves keep the orbit stable by strategically shining torches at the sky (ok that's not that likely evolutionary speaking but we're talking physics).
That's why it's interesting that inverse square is in electrostatic and gravitational forces only. Weak and strong force don't follow inverse square. And we don't see the highly complex organization inside the nucleus that we see outside it (otherwise we'd have stable orbits inside the nucleus as well)