On Mon, Jul 6, 2020 at 2:36 AM Alan Grayson <[email protected]> wrote:

*> For laws of physics to exist, they must be independent of coordinate
> system.*


That statement *IS* the Equivalence Principle, it's just using different
language, and Einstein passionately thought it was true, but there were
some instances where it didn't seem to be. For example, if there was no
limit on how fast you could move and the speed of causality was infinite
then you could move at the speed of light alongside a light beam and if you
looked at the light beam you would see that it consisted of a unmoving
standing wave of electric and magnetic fields; but that's *NOT* what
Maxwell's equations says it should ever look like. So Maxwell's equation, a
very important law of physics, would NOT be independent of the coordinate
system.

Einstein was just about the only one who was bothered by this and so he
worked on the problem and in 1905 he found the solution, at least for
Maxwell's equations, he found a way to make them true regardless of the
coordinate system. But doing the same thing for gravity was far far more
difficult, he concentrated on the problem for 10 years after that so hard
he got sick, lost 60 pounds and nearly died, but eventually he found a
tensor to describe how objects move through space-time and a tensor to
describe how mass curved space-time. And so with those tensors gravity
became independent of the coordinate system too

*> I don't see what the EP has to do with this, *


I do.

 John K Clark

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