This is just off the top of my head, but without General and Special Relativity GPS wouldn't work all too well.

Moving clocks tick slower than stationary clocks (Special Relativity) however clocks in lower gravity tick faster than clocks in higher gravity (General Relativity). So:

Because an observer on the ground sees the satellites in motion relative to them, Special Relativity predicts that we should see their clocks ticking more slowly (see the Special Relativity lecture). Special Relativity predicts that the on-board atomic clocks on the satellites should fall behind clocks on the ground by about 7 microseconds per day because of the slower ticking rate due to the time dilation effect of their relative motion.

Further, the satellites are in orbits high above the Earth, where the curvature of spacetime due to the Earth's mass is less than it is at the Earth's surface. A prediction of General Relativity is that clocks closer to a massive object will seem to tick more slowly than those located further away (see the Black Holes lecture). As such, when viewed from the surface of the Earth, the clocks on the satellites appear to be ticking faster than identical clocks on the ground. A calculation using General Relativity predicts that the clocks in each GPS satellite should get ahead of ground-based clocks by 45 microseconds per day.

The combination of these two relativitic effects means that the clocks on-board each satellite should tick faster than identical clocks on the ground by about 38 microseconds per day (45-7=38)! This sounds small, but the high-precision required of the GPS system requires nanosecond accuracy, and 38 microseconds is 38,000 nanoseconds. If these effects were not properly taken into account, a navigational fix based on the GPS constellation would be false after only 2 minutes, and errors in global positions would continue to accumulate at a rate of about 10 kilometers each day! The whole system would be utterly worthless for navigation in a very short time. This kind of accumulated error is akin to measuring my location while standing on my front porch in Columbus, Ohio one day, and then making the same measurement a week later and having my GPS receiver tell me that my porch and I are currently about 5000 meters in the air somewhere over Detroit.

it seems to me a genius mind can unveil incredible bits of science
and cant be faulted
or shouldnt be
unlike the minds of those who exploit truth
as means to a destructive end

Revealing truth can never be evil. It's too bad Einstein never really warmed up to quantum mechanics. I'm thinking he could have made great contributions.

(slowly slides tattered soapbox out from under desk)

While the horror of the atom bombs dropped on Japan should not be ignored, it is worth noting that in a single firebombing of Tokyo, over 88,000 thousand tied in a single night of firestorms.

And to put it in perspective, the combined inquisitions of the Catholic church tortured horribly between 7 and 9 million of mostly women midwives before murdering them.

Should we have the same disdain for the "inventor" of modern religion?

By that same logic, could we blame the "inventor" of sailing ships for the black death? Or perhaps trains for the spread of the Spanish flue that ultimately killed 50 million (yes, 50 million)

The theories that Einstein detailed were instrumental in the invention of the atomic bomb, but he played no part in that endeavor.

(slides soap box back under desk)

Carry on.

my goodness I just KILLED this thread.

(crickets)