Drakon
SOC-14 1K
The mistake that Newton made was a very slight and, IMHO, significantly cool.Of course Newton wasn't wrong - but he wasn't right either![]()
All of Newton's laws of motion are still valid, with very, very slight changes. The change is that instead of "straight lines" we now talk about "Geodesics", which is the shortest distance between two points. In flat space, there is no difference between geodesics and straight lines. When space-time curves, that is where the weird stuff happens.
During Newton's time, the idea of curved or non-euclidean manifolds was not well developed. There was knowledge of spherical geometry, (due to navigation) but not much theoretical work behind it. The idea that space and time could be curved, was inconcievable at that time. It was only after the work of several mathematicians, that the idea of curved space-time became useful at solving Newton's "Spooky Action at a Distance" problem.
This is why General Relativity is considered the pinnacle of classical physics. Newton was almost completely right. The "error" is the difference between Newton and Einstein, and it is very small.