Re: MMX and Zeno
- From: riedt1@xxxxxxxxxxx
- Date: 4 May 2005 19:34:40 -0700
N:dlzc D:aol T:com (dlzc) wrote:
> Dear riedt1:
>
> <riedt1@xxxxxxxxxxx> wrote in message
> news:1115019484.251963.31580@xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
> >
> > N:dlzc D:aol T:com (dlzc) wrote:
> >> Dear Peter Riedt:
> >>
> >> "Peter Riedt" <riedt1@xxxxxxxxxxx> wrote in message
> >> news:1d36893d.0504281847.417992ff@xxxxxxxxxxxxxxxxxxxxx
> >> > MMX AND ZENO
> >> >
> >> > The absence of interference in MMX can be
> >> > explained by applying the arrow paradox of
> >> > Zeno to the experiment.
> >> >
> >> > Consider the arrangement of the MMX
> >> > apparatus. A light source emits light towards
> >> > a halfsilvered mirror A which redirects half of
> >> > it on a perpendicular path towards mirror B
> >> > which returns it to mirror A. The other half
> >> > quantity of light passes through mirror A to
> >> > chase a receding mirror C along the parallel
> >> > axis. Both mirrors B and C are supposed to
> >> > return the two separate beams of light to
> >> > mirror A where they should combine out of
> >> > phase as distance AC is motion adjusted
> >> > while distance AB remains the same. Let
> >> > us assume the speed of light and the
> >> > speed of mirror C to be in the ratio of
> >> > 10000:1 and distances AB and AC to be
> >> > 10m each.
> >>
> >> Note: the light source, and mirrors A and B all have the same
> >> *velocity* as mirror C.
> >>
> >> > Accordingly, when the light has reached
> >> > the position where mirror C was, mirror C
> >> > has advanced .0001m and when the light
> >> > gets there, C is .00000001m further
> >> > away and so on. The light never reaches
> >> > C and therefore cannot return to A to
> >> > interfere with the light from B.
> >>
> >> You set out to "explain", yet you end up
> >> without an explanation. The interference
> >> fringes are observed, so contributions from
> >> paths AB and AC must be present.
> >> *Changes* in observed interference fringes
> >> are not observed, regardless of orientation.
> >> This means path lengths AB and AC
> >> change proportionately to c along each
> >> path, if at all. This leaves SR and LET
> >> intact, and Zeno hanging in the wind.
> >
> > David, you are correct. It is not an
> > explanation but merely a comparison with
> > Zeno's Paradox.
>
> You said:
> >> > The absence of interference in MMX can be
> >> > explained by applying the arrow paradox of
> >> > Zeno to the experiment.
>
> You apparently didn't realize that there was an interference
> pattern.
>
> > I believe Zeno thought about the
> > problem of objects moving in the same
> > direction with differing speeds.
>
> No need to "think"... *know*
> URL:http://www.mathpages.com/rr/s3-07/3-07.htm
> <QUOTE>
> The Achilles: The slower will never be overtaken by the quicker,
> for that which is pursuing must first reach the point from which
> that which is fleeing started, so that the slower must always be
> some distance ahead.
> <END QUOTE>
> Note how, though it talks about differing speeds, it doesn't
> describe the fact that interference is seen.
>
> > His paradox is a metaphor of sequences like
> > 1/2+1/4+1/8..... or 9/10+90/100+9/1000....etc.
> > They never add up to 1.
>
> Right. The second series is more than 1, with the terms
> provided. I am not sure how to extend it based on the
> "funniness" of the second term.
The second example should be 9/10+9/100+9/1000....etc.
>
> > Perhaps he knew of
> > the addition and subtraction of velocities like
> > c+v and c-v.
>
> Not likely. No one at that time expected c to be finite, to the
> best of my knowledge. Which would leave c+v = c-v = c, as you
> well know.
Zeno did know that any faster speed will overtake any slower speed
despite your quote above. My example of c and v applies to light and
the velocity of the earth which of course were not known to him but if
we use a (speed of arrow) and t (speed of target) instead, the same
relationships (a+t and a-t) applies. It is no different from the logic
of c+v and c-v. Addition and subtraction of velocities is universal and
has the same logic in respect of light and all moving objects.
>
> > Today many
> > in this newsgroup do not.
>
> It depends on what your "common sense" requires of nature.
>
> David A. Smith
.
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