| Do you see the
| difference between:
|
|    2* (80,0,0,16) = (60,0,0,20)
|
| and:
|
|    2 * tau(80,0,0,16) = tau(0,0,0,0) + tau(60,0,0,20)
|
| (Hint: the difference is huge, like night and day.)

Hmm.... let's see if I can work it out myself... don't tell me, ok?


2*(80,0,0,16) = (160,0,0,32) which is not equal to (60,0,0,2)
so that is FALSE.


tau(60,0,0,20)  is... err... according to the wacky transforms ...

tau(x,0,0,t)  = (t - vx/c^2) /sqrt(1 - v^2/c^2)

      = (20 - 3*60/25)/sqrt(1- 9/25)
      = (20-180/25)/sqrt(16/25)
      = 12.8/0.8
     = 16.

tau(0,0,0,0) = (0 - 3*0/25)/0.8
     = 0

So  tau(0,0,0,0)+tau(60,0,0,20) = 16.

2* tau(80,0,0,16) = 2* (16 - 3*80/25)/ 0.8
    = 2* (16 - 9.6)/0.8
    = 32

32 = 16.
So that is FALSE.

I see no difference between FALSE and FALSE.
Please tell me what the huge difference like night and day is.