Re: Explaining Time Dilation
From: Bill Hobba (bhobba_at_rubbish.net.au)
Date: 11/08/04
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Date: Mon, 08 Nov 2004 22:49:18 GMT
"V ertner Vergon" <vergon_enterprises@highstream.net> wrote in message
news:b337f5db.0411080337.4826cef5@posting.google.com...
> "Bill Hobba" <bhobba@rubbish.net.au> wrote in message
news:<Ulbjd.21030$K7.17843@news-server.bigpond.net.au>...
> > "TomGee" <lvlus@hotmail.com> wrote in message
> > news:cc2dde17.0411060849.51f1934f@posting.google.com...
> > > Below is an excerpt from my essay, "The Time And Motion
> > > Relationship",copyright 1996, tyropress@yahoo.com. All comments are
> > > welcome.
> > >
> > > CHAPTER TWO
> > > Common Notions Of Varying Time Rates
> > > Part One
> > > It is difficult to figure out time.
> >
> > Only for philosophy types. In physics time is what a clock reads does
just
> > fine. See http://www.friesian.com/feynman.htm
> >
> > > We cannot get beyond Dr.
> > > Einstein's premise of time-space interdependence because it bonds time
> > > and space as partners absolutely and forever.
> >
> > True.
> >
> > > This has had the
> > > effect, evidently, of creating a "blind alley" by discouraging any
> > > in-depth consideration of the idea that there may be more relevance to
> > > time other than our usual under-standing of it as simply the Siamese
> > > twin of space and not much else than that.
> >
> > Examples would be nice.
> >
> > > Therefore, when we think
> > > about time, we usually think of it as part of the "continuum" or
> > > "fabric" of time and space in which all things exist equally subject
> > > to the "force" of time's irresistible and un-wavering flow. However,
> > > such a concept requires time to have or to be a force of its own - it
> > > requires that time must be energy or must contain energy.
> >
> > It implies no such thing - please acquaint yourself with what energy
is -
> > http://www.mathpages.com/home/kmath564/kmath564.htm.
> >
> > > Subsequently, that viewpoint leads us to another blind alley where we
> > > find that we can't explain certain "loose ends" or, apparent natural
> > > contradictions. For example, how can time possibly have/be energy or
> > > have/be a force?
> >
> > It isn't - you are simply stringing together words is strange ways.
> >
> > > In order to support the idea of the existence of a
> > > "time and space continuum," scientists have had to come up with the
> > > notion that there must be such things as time and space "warps,"
> > > "curvings," "dilations," etc.
> >
> > Please see a wonderful essay by John Baez on the real meaning of General
> > Relativity - http://math.ucr.edu/home/baez/einstein/.
> >
> > > For many "hard-thinkers," though, it is
> > > just too hard to be able to really and truly and successfully imagine
> > > the warping or curving of boundless space in any way other than as the
> > > literary trick we see used quite often in science fiction stories as a
> > > relatively quick and easy way to travel around the universe.
> >
> > Mind naming these hard thinkers and their accomplishments? For example
is
> > was not too hard for people like Feynman and Weinberg.
> >
> > > It is a
> > > task too difficult for us because we are unable to reasonably extend
> > > the con-cept of ordinary space far enough to reconcile in our
> > > inquiring minds how it could be that empty space can "do", "act", or
> > > "perform", any physical act.
> >
> > It is a task made more difficult by people who want to read more into
that
> > is really happening.
> >
> > > For scientists to take ideas from science fiction is a risky adventure
> > > as it can too easily become a case of the tail wagging the dog, as it
> > > were.
> >
> > The reason is simple - they have these ideas forced onto them by the
> > physics - not science fiction.
>
> SNIP>-
>
> Vergon:
>
> The rest of this diatribe can be read in the original post.
>
> The point I want to make here is that this is a good example of the
> amature strnging together a bunch of unsubstantiated hazy, wordy
> assumptions and offering them as a scientific work.
>
> Compare TomGee's presentation with the following one that deals with
> known accepted concepts and phenomena in a purely logical constuction
> (on this same subject).
>
>
>
>
> ON TIME DILATION AND DOPPLER TIME
> Vertner Vergon
>
> ABSTRACT
>
> We examine time dilation and find it leads to an unforgiving
> contradiction. We also find it is contrary to empirical experience. In
> examining Doppler time we find it has none of these deficiencies. We
> therefore conclude that the erroneous concept of time dilation be
> replaced with the concept of Doppler time variation.
>
>
>
>
> We start our examination of the time dilation concept by going to its
> source -- Einstein's paper, On the Electrodynamics of Moving Bodies.
> We refer to his gedanken experiment of moving clocks. One of two
> identical clocks remains at rest while the other moves away and
> returns. When Einstein perceived the difference of the clock readings
> in his calculations, he stated the moving clock "was slow by ...". The
> immediate perception by the public was that if a clock was "slow by" -
> it had to have run slower. He also said the moving clock was "behind"
> the inertial clock by ..." . These two statements do not mean the same
> thing. If one clock is running slower, then it is running slower, and
> that has only one meaning.
>
> On the other hand to say one clock is behind the other is open to
> alternative explanations, eg., the moving clock could have traveled a
> shorter world line -- or may have traveled faster than observed. In
> either case the clock would maintain its normal (proper) rate but for
> a shorter duration than the inertial clock. At any rate the accepted
> version is that the clock ran slower and thus was born the concept of
> time dilation.
>
> This concept is usually stated by an illustration that says if one
> were to observe a clock on a fast moving spaceship, they would observe
> it to run slowly. It must be emphasized that this running slowly
> occurs regardless of the direction or vector of the ship. That is to
> say it matters not whether the spaceship is receding or approaching,
> time runs slower. Also to be emphasized is that this slowness of time
> is *not* just a matter of observation but actually takes place -- for
> when the clock returns it is actually 'behind" the stationary (or
> Earth) clock.
>
> Since this is the case, we are inevitably drawn to only one
> conclusion, the moving clock has to be running slowly in its own
> coordinate system. Here we are faced with an unforgiving contradiction
> for basic relativity states that all clocks keep proper time in their
> respective coordinate systems. It is inconsistent that a clock can
> actually run slowly in its own coordinate system - and also, the
> while, keep proper time. This contradiction requires that the time
> dilation concept, i.e., t' = t sqrt(1 - v^2/c^2) be discarded.
>
> The question arises, is there something to take its place? The answer
> is yes.
> To lay the foundation for this replacement we note that any known
> constant frequency is a clock. The scientific community has chosen the
> excited cesium atom as the standard. This is an arbitrary choice.
> Next, we note that the cesium clock (or any other constant frequency
> atom) will never vary in its rate. So they will always keep proper
> time. However, *observations* of these clocks will show a variation
> due to the Doppler effect. We declare this variation in frequency is a
> variation in *observed* time. Since the frequency is a clock, an
> observed variation in the frequency is an observed variation in time.
> Call it Doppler or what one will, that is merely a description of the
> mechanics. In the final analysis it is a variation in observed time.
>
> Next, we examine a counter argument which states that the relativistic
> Doppler rate is the result of the following: If one takes the
> non-relativistic Doppler rate and modifies it by the time dilation
> they, come up with the relativistic Doppler rate. This, supposedly,
> confirms time dilation. Upon further examination, we perceive that
> even if we were to accept that explanation, what we have is the
> situation whereby an approaching clock is observed to run *fast* --
> not as fast as non-relativistic mechanics would have -- but fast. This
> is contrary to time dilation which requires an approaching clock to
> run slowly. That a reversal in direction results in a reversal of
> time rate is to be expected since time variation is the result of
> velocity vectors - and vectors are directional.
>
> If a theory conflicts with empiricism, it has to be discarded.
> Next we point out that we need not necessarily accept the above
> explanation. We note that above, the non-relativistic Doppler is
> modified by applying time dilation. We also note that time dilation is
> written
>
> t' = t sqrt(1 - v2/c2).
>
> Now non-relativistic Doppler in direct approach is written
> (where V = v/c)
>
> nu'/nu = 1/1- V
>
> Next, we apply time dilation:
>
> nu'/nu = (1/ 1 - V) x t sqrt(1 - V2).
> It is immediately apparent how clumsy this equation is. Frequency
> times time is n/t x t = n. To avoid this problem we may write:
> nu'/nu = (1/1 - V) sqrt(1 - V2)
>
> Now the argument presents itself that the equation immediately above
> does *not* represent the application of time dilation but does instead
> simply apply the Lorentz transformation to the frequency as it does to
> other parameters in transposing from one coordinate system to another.
> Thus relativistic Doppler is simply that - and not modified by time
> dilation.
>
> Now it can easily be shown -- using the famous "Twin Paradox" as an
> example -- that utilizing the observed Doppler time rate will yield --
> when the clocks are reunited -- a difference in the readings
> commensurate with the time dilation *rate*. And to restate, it can be
> shown that using the Doppler time rate will yield the time dilation
> *effect*. And that is the proper way to refer to it -- "time dilation
> effect". The reason: The net time differential when the movement of
> the clock is complete is the same *as though* dilation time was
> operative throughout.
>
> What then? What is the explanation for the "effect", but not the
> actuality of time dilation? Particle accelerator operators and Ives &
> Stillwell claim to have "directly observed" time dilation. What they
> have observed is transverse Doppler rates. And it so happens, by some
> extraordinary coincidence, that the transverse Doppler rate is the
> same as the time dilation rate.
>
> And now to display the Doppler time resolution of the Twins Paradox:
> What is displayed here is the round trip Twins' experience with no
> paradox. The upward arrow signifies outward bound, the downward arrow
> signifies inward bound. The double arrows signify the ship being
> observed going outbound while in fact it is traveling inbound. (second
> chart). This, of course, is due to the time it takes light to travel.
> The velocity is sqrt(.75c). At this velocity the so called time
> dilation rate is 1/2 . The distance to far-point is sqrt(3 light
> seconds). So the elapsed time for the ship is one second due to the
> fact the distance traversed is a coordinate system in relative motion
> to the ship and to the ship is .5 sqrt 3 light seconds). ( For seconds
> or years, the figures hold.)
>
> This means that four years on earth would be only two years on ship.
> The time rates shown in the second chart are the time rates of the
> ship as observed by earth. Both charts are Doppler time rates. They
> have to be. Any invariable frequency -- clock or atom -- will be
> observed at Doppler rates. The same is true for observations of earth
> by the ship (first chart). So there is a parity of rate observations
> as required by the principle of relativity.
>
> Notice, there is no time dilation rate observed (1/2 in this case) --
> *but* when the trip is concluded the difference in the clock readings
> is *as though* the ship clock had run at half time to the earth clock,
> i.e , run at dilation time. When Einstein saw that differential in his
> calculations (1905 paper) he said the moving clock "ran slow" by ... .
> This created the impression that time really ran slower for the ship's
> clock. The table below shows this isn't so.
>
> It is worth repeating that according to the STR a clock in the
> approach mode runs slow - but astronomers observe clocks in the
> approach mode, and they are running fast. Consequently, *there is no
> time dilation observed.* There *is*, however, a *time dilation
> effect*, i.e., there is a transit time differential on the two clocks
> -- and it was created by Doppler time. However, quantitatively it
> appears to be created by the time dilation rate.
>
>
>
>
> ASTRONAUTS TABLE
>
>
> ELAPSED x DOPPLER = OBSERVED
> TIME ON TIME/ TIME ON
> SHIP FREQUENCY EARTH
> (in seconds) (t/f)
> =====================================================
> /|\
> | 1.00 x .268 = .268
>
> | 1.00 x 3.732 = 3.732
> \|/
> -----------------------------------------------------
> 2.000 4.000
> total elapsed time
>
>
>
>
>
> ASTRONOMER'S TABLE
>
> ELAPSED x DOPPLER = OBSERVED
> TIME ON TIME/ TIME ON
> EARTH FREQUENCY SHIP
> (in seconds) (t/f)
> ======================================================
>
> (in seconds) (t/f)
>
> /|\
> | 2.00 x .268 = .536
>
> /|\ | 1.732 x .268 = ,464
> | \|/
>
> | .268 x 3.732 = 1.000
> \|/
> -------------------------------------------------------
> 4.000 2.000
> total elapsed time
>
>
> Note: Not only is there a parity of rate observations, but the length
> of time each twin is an observer is equal to the time he is observed.
> Thus there is a time commonality of observation. This, in a space-time
> chart given in Spacetime Physics (by Taylor and Wheeler), is labeled
> the "line of simultaneity".
>
>
> __________________________
> · Both Ives & Stillwell and accelerator operators made right angle
> observations of fast traveling radiation-emitting atoms or particles
> and found that the radiation shifted in accordance with time dilation
> calculations (which happen to be the same as transverse Doppler).
>
>
>
> ADDENDUM:
>
> ABSTRACT
>
> Establishes the existence of superluminal velocities - and
> consequently a showing that the concept of a traveling twin returning
> younger than his bother is not valid.
>
>
>
> In the above dissertation it was stated that the distance to Farpoint
> was sqrt(3 light seconds) and
> that to the transiting space ship this distance was foreshortened to ½
> that. This is not quite true.
>
> Whereas it is true the measurement taken by the ship would show a
> foreshortening - it should be
> recognized that the space does not really contract. What then?
>
> The sqrt(3 light seconds) is 1.732 light seconds - and half that is
> .866 light second. Since the ship
> transits the distance in one second, the passenger calculates his
> velocity to be .866 light second
> per second.
>
> We recognize this is the result of a foreshortened measurement - but
> that the proper distance
> remains 1.732 light seconds. Therefore, we can state that the proper
> velocity of the space ship is
> 1.732 light seconds per second. We recognize this as a superluminal
> velocity.
>
> Thus we see that the true cause for the time differential between a
> moving coordinate system and
> an inertial one is that the moving system is traveling faster than
> measured. The faster velocity is
> the proper velocity, the slower velocity is the relative velocity.
>
> Measurement from the inertial frame is another matter. This
> measurement is strictly a subjective
> one in which the distance to far point does not foreshorten. Thus, in
> the example, the distance to
> be traversed is 1.732 light seconds and the velocity of the ship -
> though having a proper velocity
> of 1.732 light seconds per second - is perceived by the inertial
> observer at .866 light second per
> second by the following considerations:
>
> Einstein has already shown that a rod in a moving coordinate system
> will measure as contracted
> or foreshortened so that will not be repeated here. If we substitute
> the space ship for the rod, we
> conclude that a measurement of the ship also contracts in length.
> Further, we conclude that
> length is the same as distance - and since distance contracts,
> velocity being distance per time,
> also contracts. So every proper velocity has a corresponding relative
> velocity.
>
> Applying that to our example, we conclude that to the inertial
> observer the 1.732 light seconds per
> second proper velocity of the spaceship foreshortens to a relative
> velocity of .866 light second
> per second - and further, the calculated time for transit of the
> 1.732 light second distance is
> 1.732 / .866 or 2 seconds.
>
> But we are not through yet. This is the calculated time not the
> observed time. The observed time
> develops as follows:
>
> The calculated time for transit is 2 seconds. At the end of that time
> the ship will have arrived at
> farpoint - but the inertial observer will not be aware of that until
> the signal of that arrival reaches
> him. At a distance of 1.732 light seconds to farpoint that will take
> an electromagnetic signal 1.732
> seconds.
>
> Thus it will take 2 + 1.732 seconds from departure for the inertial
> observer to observe the
> completed transit.
>
> The observed velocity, then, is distance / time or 1.732 / 3.732 =
> .464 light second per second.
>
> This is based on a relative velocity which is a derivation of a proper
> velocity - and which
> undergoes the mechanism of observation.
>
> If one will consult the Twins Astronomer chart above they will come up
> with the same result.
>
> The time for the outward (up arrows) observation is 3.732 seconds
> elapsed time on earth - and
> the distance (being inertial) is 1.732 light seconds. This 1.732 /
> 3.732 yields an observed velocity
> of .464 c.
>
> One last consideration. Now that we have established superluminal
> velocities, what are the
> complications?
>
> Let us again use the Twins example.
>
> Consulting the charts we see that to the Astronaut the round trip is
> two seconds, whereas to the
> Astronomer it is four seconds. (Let us transpose seconds to years).
>
> What happens when the Astronaut lands and strolls over to stand
> shoulder to shoulder with the
> Astronomer? He must necessarily see the same as does the Astronomer.
> What would that be?
> And would that violate any laws of physics?
>
> We again consult our charts and we see that the landing must take
> place at the first line of
> ASTRONOMER'S TABLE which is two years into his observations. This is
> so because
> Astronaut's journey is two years. Now, what do they both see?
>
> Line 2 (double arrow). Translated, that means they "see" Astronaut
> still on his outward journey
> though he is actually on his way inward. Yes, Astronaut observes
> himself on his outward journey.
>
> This transpires for 1.732 years. At the end of that time both parties
> observe (line 3) Astronaut on
> his way in at the observed velocity of 1.732 light seconds /. 268
> seconds or 6.463 light
> seconds / second. Thus, the inward journey will be observed by both
> for .268 years.
>
> Regardless of first impressions, this violates no laws of physics. Let
> me relate an analogy.
>
> A pilot of a super sonic jet traveling at a super sonic velocity turns
> off his engine and glides
> silently. What does he experience? As he slows down to subsonic
> velocities he hears, as it
> catches up to him, the sonic boom created by his supersonic flight.
> So it is with light.
>
> The question arises, what about the accepted concept that one can
> never chase a light beam and
> catch up to it? *
>
> Consider the following: As one increases their velocity in this
> pursuit, the beam gradually reduces
> in frequency - until at the speed of light, there is no frequency at
> all. If one exceeds this velocity
> and then stops, it violates no law that he perceives the
> electromagnetic vibrations left behind,
> same as the pilot having his sonic boom overtake him. Note that the
> reduction in frequency does
> not alter the fact of the beam always preceding the observer at c
> until the frequency reaches
> zero.
>
> Finally, as a consequence of the above, we see that there is no age
> difference between
> Astronomer and Astronaut. Astronaut lands after two years from
> departure - and Astronomer
> greets him two years into a four year observation, the latter two of
> which they experience
> together.
>
> V. VERGON
> October, 2004
> ----------------------------------------------------
> · CHASING A LIGHT BEAM
> In actuality it is impossible to chase a light beam (or photon) for
> that means it is advancing before the observer. Photons or beams can
> only be observed when they are approaching the observer. Therefore,
> the situation must be that the observer is proceeding in the same
> direction - and within - the light beam. Thus, in actuality, what he
> is observing is the source of the emission - and from that he is
> receding. Should he recede at the speed of light, the observed
> transmission would have a frequency of zero.
Others have dealt with Vertner Vergon's stuff before - no need for me to add
my voice eg see
http://groups.google.co.uk/groups?q=Vertner+Vergon+dirk&hl=en&lr=&group=sci.physics.relativity&selm=pNcD8.70612%24Ze.10827%40afrodite.telenet-ops.be&rnum=4
Bill
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