"Dirk Van de moortel" <dirkvandemoortel@ThankS-NO-SperM.hotmail.com> wrote in message news:<NkWxc.3366$F62.1537@news.cpqcorp.net>... > "Pentcho Valev" <pvalev@yahoo.com> wrote > in message news:bdf02d35.0406100031.1430a5c8@posting.google.com... > > > "Paul B. Andersen" <paul.b.andersen@hia.no> wrote > > in message news:<ca7u3a$4ce$1@dolly.uninett.no>... > > > > > "Pentcho Valev" <pvalev@yahoo.com> skrev i > > > melding news:bdf02d35.0406090613.425dfbcf@posting.google.com... > > > > > > > "Paul B. Andersen" <paul.b.andersen@hia.no> wrote in > > > > message news:<ca6i6h$535$1@dolly.uninett.no>... > > > > > > > > > "Pentcho Valev" <pvalev@yahoo.com> skrev i > > > > > melding news:bdf02d35.0406081430.1e9a1464@posting.google.com... > > > > > > > > > > > "Dirk Van de moortel" <dirkvandemoortel@ThankS-NO-SperM.hotmail.com> wrote in > > > > > > message news:<rMmxc.148794$38.7567485@phobos.telenet-ops.be>... > > > > > > > > > > > > > "Pentcho Valev" <pvalev@yahoo.com> wrote in message > > > > > > > news:bdf02d35.0406080907.13e0d289@posting.google.com... > > > > > > > > > > > > > > > Can someone demonstrate > > > > > > > > time contraction by using the standard light clock setup? Or perhaps > > > > > > > > the concept cannot be explained within special relativity? > > > > > > > > > > > > > > It can be explained, > > > > > > > > > > > > > > > > > > Yes it can. Sal has already explained it. Awful term, he said. He will > > > > > > be more careful with his language from now on. But you don't believe > > > > > > him do you? Because he has already written > > > > > > > > > > > > Sal: "Somewhere in the orbit, the clocks on ship B must run faster > > > > > > than the clocks on ship A, as viewed from ship A's frame of > > > > > > reference." > > > > > > > > > > Where ship A's frame of reference is an accelerated frame. > > > > > > > > > > > This is not a terminological mistake. You know and sal knows it isn't. > > > > > > This is a statement contradicting the second postulate > > > > > > > > > > How is it conradicting the second postulate? > > > > > Elaborate, please. > > > > > > > > > > > > OK. We assume that we deal with the logical construction of special > > > > relativity and do not use, explicitly or implicitly, "external" > > > > hypotheses. First we have the proposition that time dilation (D) is a > > > > corollary of the second postulate (L): > > > > > > It is - if the rate of the moving clock is measured in > > > an inertial frame of reference. > > > > > > If the frame of reference is NOT inertial, then the matter > > > is more complicated. A's frame of reference is NOT inertial. > > > > > > Look at the following scenario. > > > We have two clocks A and B which are instantly at rest to each other > > > at a distance d . A has a constant acceleration a, while B is inertial. > > > Let t be the time of clock A while t' is the time of clock B, and let > > > both clocks show 0 at the time when A and B are at rest to each other. > > > > > > At the time dt, the speed of B in A's accelerated frame will be -a*dt. > > > Thus the Lorentz transform say that clock B will show: > > > dt' = gamma*(dt + d*a*dt/c^2), gamma = 1 because v = 0 > > > dt'/dt = 1 + ad/c^2 > > > That is, if A is accelerating towards B, B will be measured > > > to run fast in A's frame of reference. > > > > > > A last remark. Check carefully your steps and if they are all correct, > > substitute d=0 in the final result and send to Nature (or Science). > > They will publish it immediately. > > Giving dt'/dt = 1, meaning that, when the clocks are > instantly at rest w.r.t. each other *and* coinciding, > they mark the same (infinitesimal) time interval for a > single pair of events. In view of the enormous importance of the discovery dt'/dt = 1 + ad/c^2 I think renaming is unavoidable. So far that was simply the Theory of Einstein. But I am sure the new name will be The Theory of Einstein-Andersen-Moortel-Sal Changes in the order of the personal names are still possible but this is not essential of course. Pentcho Valev |
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Fumble Index | Original post & context: bdf02d35.0406100614.7f5f7ea0@posting.google.com |