Re: What is this "internal clock" in muon which slows down its rate of decay when they move very fast?

From: Franz Heymann (notfranz.heymann_at_btopenworld.com)
Date: 02/02/05 

Date: Wed, 2 Feb 2005 20:13:24 +0000 (UTC)

"Tom Capizzi" <etianshrdlu@verizon.net> wrote in message
news:_X5Md.2995$ya6.2238@trndny01...
>
> "Franz Heymann" <notfranz.heymann@btopenworld.com> wrote in message
> news:ctqfcu$832$8@sparta.btinternet.com...
> >
> > "Tom Capizzi" <etianshrdlu@verizon.net> wrote in message
> > news:mLWLd.2193$ya6.841@trndny01...
> >>
> >> "Franz Heymann" <notfranz.heymann@btopenworld.com> wrote in
message
> >> news:ctp0j9$kih$1@hercules.btinternet.com...
> >> >
> >> > "Tom Capizzi" <etianshrdlu@verizon.net> wrote in message
> >> > news:2HRLd.420$t46.371@trndny04...
> >> >>
> >> >> "TomGee" <lvlus@hotmail.com> wrote in message
> >> >> news:1107279972.314247.150990@z14g2000cwz.googlegroups.com...
> >> >> > To: Tom Cappizzi
> >> >> >
> >> >> > Neither of the twins can see each other, and they don't,
until
> > the
> >> >> > astronaut twin lands back on Earth. I did not say both of
them
> >> > age
> >> >> > slower; SR claims the astronaut twin ages slower than his
> >> > Earthbound
> >> >> > twin
> >> >>
> >> >> I know that isn't what you said. This particular claim is not
the
> >> > paradox,
> >> >> either. This is merely time dilation.
> >> >>
> >> >> > There is no actual time dilation; it is only an effect
> > resulting
> >> > from
> >> >> > the fact that the time rate of the spaceship slowed compared
to
> >> > the
> >> >> > Earth's time rate each and everytime the ship's speed
exceeded
> > the
> >> >> > Earth's speed. Each time the ship went faster, it aged at a
> > rate
> >> >> > slower than the Earth.
> >> >>
> >> >> And that is time dilation. Maybe you should inform us what you
> >> > define
> >> >> time dilation to be.
> >> >>
> >> >> > And what does "by the relative nature of velocity" mean?
> >> >> >
> >> >>
> >> >> That means that the earthbound twin observes the traveler to
be
> >> > moving
> >> >> away from earth in some direction, say +x, at some velocity
+v.
> > The
> >> >> traveler observes the earth moving away from him along the x
axis
> >> > at -v.
> >> >> Since the relativistic factor gamma depends on the square of
> >> > relative
> >> >> velocity, each sees the other as time dilated by the same
factor.
> >> > That is
> >> >> the paradox.
> >> >
> >> > No. That is not what is usually thought of as being the
paradox.
> > The
> >> > paradox only comes to light when they get together again.
> >>
> >> Technically, I should have written that each expects to see the
> > other as
> >> time
> >> dilated by the same factor at the end of the trip.
> >> However, is it not also true that each would "see" clocks in the
> > other's
> >> frame
> >> of reference running slow during the trip?
> >
> > They cannot make the comparison at all until they meet up again.
>
> Agreed that they can't compare each other's clock until they meet.
> But Special Relativity is not restricted to a couple of clocks in
specific
> locations (or paths). It is perfectly legitimate to imagine that an
entire
> network of clocks has been installed along the course. Einstein
gives
> a procedure for synchronizing all of them. Then doesn't the
astronaut
> observe all the stationary clocks along the way running slow?

Yes. I think you are right. He will see all the clocks reading low
as he passes each one.

[snip]

Franz

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