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
runner_g@lemmy.blahaj.zone 11 months ago
In my field of work (molecular biology) anything with a linear relationship gets exciting! I got an R^2 of .9968 last week that had me jumping for joy.