Saturday, November 19, 2011

Is Special Relativity an expansion of Newtonian Physics or a replacement?

I've heard that general relativity is a replacement for universal gravitation, but is special relativity also a replacement of newtonian physics or an expansion?|||Einstein knew that Newton was insignificantly incorrect for velocities that were NOT a significant fraction of the speed of light. ====%26gt; He was very careful to make sure that Special Relativity and General Relativity gave essentially the same answers. Even today so long as the velocity of the measuring instrument is not significant, we use Newton because Relativity is NOT worth the extra effort and calculations.





Newton is corrected by the Lorentz Transform





1 / sq rt (1 - (V^2/C^2))





How fast must we go (V) before it is significantly different from 1?





So, I would say SR is a expansion. It certainly has not replaced.|||Likely Newtonian Physics is a practical limit for Special Relativity for slow objects (opposite the speed of light) and moderate mass and gravity (opposite black holes, etc.). Newton's Laws work perfectly well for cars and planes although you could use (difficult) relativistic formulas to get the same answers.

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