I'm sure it works, I just obviously don't know how to set it up properly...
You don't know the basics, learn first, come back when you know what you are doing.
I'm sure it works, I just obviously don't know how to set it up properly...
Right.W=.9944
W=(.8,1)
1+.8/(1+1*.8/c^2)=1
It's the same arithmetic difference in speed... but that only means that it's the same measured speed of separation.It is the same difference in speed and the calculated difference is .0066
And w=(.1,.7) as opposed to w=(.4,.4)=.6896 is an even larger difference (.058) which is a fairly significant difference.
I think we need to look deeper into why it doesn't logically sit right.It just doesn't logically sit right because we could actually be moving .3 towards an object and read a different speed as a point directly centered between them. Which of course is completely irrelevant to the speed the object itself observes as the speed of the other object (.8)
Not at all. I'm mainly looking for the physical reason we measure objects at such a high speed in this manner. Is it the nature of the universe, or does it have more to do with getting clocks to agree? Or possibly some other reason entirely.And we already know that we'll measure different speeds of separation in difference reference frames... so, is this a problem?
I ended up working it out last night actually. Thanks for taking the time to address the real problems of my absolute stupidity.So we have two electrons, measured to be moving at 0.4c in opposite directions (it doesn't actually matter whether we're at a central point or not... we could be anywhere).
Now, we get all our gear moving at 0.3c parallel to the electron's motion, resynchronize our clocks, and measure them again.
What do we find?
No you don't. If you mean $$0.6797 = 0.3 + \frac{x}{1+0.3x}$$ then x = 0.428512. If you mean $$0.6797 = \frac{0.3 +x}{1+0.3x}$$ then we get x = 0.476956. Mr Mathematica told me..6797=.3+x/(1+.3x)
Solve for x and we get .4914c
I've realised you made two mistakes, you meant $$ \frac{0.3 +x}{1+0.3x}$$ and you mean 0.6897. Then you get x=0.491369.