Re: thought experiment

From: Androcles (androc1es_at_nospamblueyonder.co.uk)
Date: 08/30/04 

Date: Mon, 30 Aug 2004 19:35:42 GMT

"Theo Wollenleben" <alpha0x89@yahoo.de> wrote in message
news:41337a6e$0$24806$9b622d9e@news.freenet.de...
| Dirk Van de moortel wrote:
| > "Theo Wollenleben" <alpha0x89@yahoo.de> wrote in message
news:opsdjr4vujldawh6@quercus.physik.uni-halle.de...
| >
| >>On Mon, 30 Aug 2004 15:27:19 +0200, Dirk Van de moortel
| >><dirkvandemoortel@ThankS-NO-SperM.hotmail.com> wrote:
| >>
| >>
| >>>The transformation equations are
| >>> x' = (x - v t) / sqrt(1-v^2/c^2)
| >>> t' = (t - vx/c^2) / sqrt(1-v^2/c^2)
| >>
| >>That's right. Sorry for that mistake. But everything else I wrote was
| >>right.
| >
| >
| > The best thing to do to never make a mistake, and to
|
| Errare humanum est. It was a simple typo (forgotten "1/" in front of
| right hand sides).
|
| > make sure that the ones who read it understand it
| > correctly, is to talk in terms of events.
| > Never say that A's clock is running slower than B's
| > clock. Never say that A measures time t and B
| > measures time t' and that t' > t...
| > Always specify of *which events* A and B measure
| > times.
|
| But it is common to say "Moving clocks run slower.". And the
| corresponding formula to this sentence is (again):
| t' = sqrt(1-(v/c)^2)*t.
|
| To leave no doubt about what I mean:
|
| Let A be the event when Bob starts from earth (set both clocks to t = t'
| = 0 and x = x' = 0). And let B be the event (x = v*t, t) in Alice's
| frame (it's an event on Bob's worldline). Then the coordinates of this
| event B in Bob's frame are
|
| x' = 1/sqrt(1-(v/c)^2) (x - v t)
| = 1/sqrt(1-(v/c)^2) (v t - v t)
| = 0 (unsurprisingly)
| t' = 1/sqrt(1-(v/c)^2) (t - v/c^2 x)
| = 1/sqrt(1-(v/c)^2) (t - v/c^2 v t)
| = sqrt(1-(v/c)^2) t (time "dilatation" - "the shorter time t' < t
| has to be stretched (compared to t) between the two events" - this term
| is in fact somewhat confusing)
|
| I hope everybody agrees now (if we assume that special relativity is
right).

Nope.
Mercury is planet orbiting the sun that takes 88 days to complete a cycle.
Venus is planet orbiting the sun that takes 225 days to complete a cycle.
Earth is planet orbiting the sun that takes 365 days to complete a cycle.
Mars is a planet ...
Jupiter is a...
Saturn...
Let's make a table.

                    Mercury Venus Earth Mars....
Mercury 1 88/225 88/365 ...
Venus 225/88 1 225/365
Earth 365/88 365/225 1
Mars...

If time slows for a ship accelerating from Earth, it will have a ratio that
changes with every other oscillator in the universe. If it passes an inbound
ship, that too will have a slow clock. Hence the ships passing each other
will tell the same time, yet have a relative velocity between them.
Relativity = stupidity.
Androcles