Home Is Where The Wind Blows

Ken Seto: To be or not to be More At Rest  (11-May-2002)

"Paul B. Andersen" wrote in message
news:abhdro$s7h$1@dolly.uninett.no...
>
> "kenseto" wrote in message
news:3cdbcb0e$0$3581$4c5ecdc7@news.erinet.com...
> > The answers are as follows:
> > 1. It is use by the observer to determine the clock time reading in the
> > observed frame for a specific interval of absolute time in the observer's
> > frame.
>
> Can you please show me how to use the Lorentz transform to
> find the clock time reading of a 10 second interval of absolute time?

Assuming the observer is more at rest then the LT becomes
                    t'= (t - xv/c^2)/gamma
          When x=0 this equation is reduced to t'=t/gamma
          Therefore t'=10/gamma seconds

Assuming that the observed frame is more at rest then the LT becomes
                    t'=gamma(t + xv/c^2)
          When x=0 this equation is reduced to t'=gamma*t
          Therefore t'=10*gamma seconds

>
> > 2. It is use by the observer to calculate the light path length of a
> > physical rod in the observed frame.
>
> I have a 1 metre long rod on my desk, Ken.
> Can you please show me how to use the Lorentz transform
> to find the light path length of the rod?

Assuming the observer is more at rest then the LT becomes
                    x'=gamma(x+vt)
          When t =0 this equation is reduced to x'=x*gamma
          Therefore the solution to your question is: x'=1*gamma meters

Assuming the observed frame is more at rest then the LT becomes
                    x'=(x-vt)/gamma
          When t=0 this equation is reduced to x'=x/gamma
          Therefore the solution to your question is: x'=1/gamma meters

Ken Seto

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